Answer:
34.7
Step-by-step explanation:
First Step: Multiply.
3 × 10 = 30
4 × 1 = 4
7 × 1/10 = 7/10
Second step: Add.
30 + 4 + 7/10= 347/10
Final step: Make it a decimal.
347 ÷ 10 = 34.7
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]3\times 10+4\times 1+7\times 1/10[/tex]
[tex]= \frac{347}{10}[/tex] (Decimal: 34.7)
Step by Step Explanation.
[tex](3) (10) + (4) (1) + \frac{(7)(1)}{10} \\= 30 + (4) (1) + \frac{(7)(1)}{10} \\= 34 + \frac{(7)(1)}{10} \\= 34 + \frac{7}{10} \\= \frac{347}{10}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
The length of a rectangle is seven inches more than its width. Its area is 540 square inches. Find the width and
length of the rectangle.
Answer: 20 is the width and 27 is length
Solve for x: 3/5=x-1/8
Answer:
x = [tex]\frac{29}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{5}[/tex] = [tex]\frac{x-1}{8}[/tex] ( cross- multiply )
5(x - 1) = 24 ← distribute parenthesis on left side
5x - 5 = 24 ( add 5 to both sides )
5x = 29 ( divide both sides by 5 )
x = [tex]\frac{29}{5}[/tex]
561
Worksheet
1. Assume that your kidneys can filter out 25% of medicine in your blood every 4 hours. You take one
1000-milligram dose of the medicine. Fill in the table showing the amount of the medicine in your
blood as a function of time. The first three data points are already completed.
At first you will have decimals. Round each value to the nearest milligram so there are no
decimals in your answers.
Time since taking the medicine (in hours)
Amount of medicine in blood (in milligrams)
0
1000
4
1000 - (1000 x 0.25) = 750
8
750 - (750 x 0.25) = 562.5 563
12
16
20
24
28
32
36
40 44 48 52 56
Answer:
12
563 - (563x0.25) = 422.25 -> 422
16
422 -(422x0.25) = 316.5 -> 317
20
317 - (317x0.25) = 237.75 -> 238
24
238 - (238x0.25) = 178.5 -> 179
28 (continue the step by step process)
134.25 -> 134
32
100.5 -> 101
36
75.75 -> 76
40
57
44
42.75 -> 43
48
32.25 -> 32
52
24
56
18
Step-by-step explanation:
the time interval has to keep skipping by four hours because the medicine is filtered in that amount of time.
The multiplying by 0.25 part must be done first in order to show how much the kidney has filtered.
after this, you need to subtract that from how many milligrams of medicine are left in your system
note that if you do not subtract, you will only be showing how much the kidney has filtered. the question asks for how much is left in the SYSTEM overall, so subtracting is quite necessary to completely answer the question.
I hope this helped.
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Learn more information about 'Algebraic expression ' here:
brainly.com/question/2193741
How would I solve this? (y-z) ÷ z y=-2 and z=4/5
Answer:
-3.5
Step-by-step explanation:
The problem you have stated is (y-z)/z where y=-2 and z = 4/5. To solve, substitute the values of y and z into the problem. Then, you have (-2-4/5)/4/5. (-2-4/5) simplifies to -14/5 so then you have (-14/5)/4/5. To divide, multiply -14/5 by 5/4 {multiplying by the reciprocal}. That equals -70/20 which is equal to -3.5
Answer:
[tex]\large\boxed{-3.5}[/tex]
Step-by-step explanation:
(y - z) ÷ z y = -2 and z = 4/5
Substitute in the given values for y and z into the equation
(y - z) ÷ z
(-2 - 4/5) ÷ 4/5
Subtract inside the parenthesis (-2 - 4/5)
-2.8 ÷ 4/5
Convert 4/5 into a decimal (in this case that can be done by multiplying both the numerator and denominator by 20)
4/5 = (4 * 20) / (5 * 20) = 80 / 100
80 / 100
Divide numerator and denominator by 10
8/10 = 0.8
Substitute into previous equation
-2.8 ÷ 4/5 = -2.8 ÷ 0.8
Divide
[tex]\large\boxed{-3.5}[/tex]
Hope this helps :)
Use the rule "add 2" to create a sequence of 5 numbers starting with 8.
Answer:
8 10 12 14 16
Step-by-step explanation:
8+2=10, 10+2=12, 12+2=14, 14+2=16
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost of the stationery is - a Pencil: $1.20, an eraser: $1 and a ruler: $0.50. She spent a total of 169.50 on all stationery. How much more did she spend on erasers than rulers.
Answer:
Isabelle spent $52.50 more on Erasers than rulers.
Step-by-step explanation:
Step 1
Find the quantity of each stationery bought in fraction
Let us represent the total fraction of what Isabelle bought as: x
1/3x = quantity of pencils bought
5/8 of the remainder = quantity of erasers bought
The remainder = x - 1/3x = 2/3x
5/8 of 2/3x = 5/8 × 2/3x = 5/12x
Hence, 5/12x = quantity of erasers bought
The rest is rulers
1 - (1/3 + 5/12)
1 - (4 + 5/12)
1 - 9/12
1 - 3/4
= 1/4x
Hence, 1/4 = quantity of rulers bought.
Step 2
We find the number of stationeries that Isabelle bought.
The cost of the stationery is
a Pencil: $1.20
an eraser: $1
a ruler: $0.50.
Total amount spent on stationery = 169.50
We have this equation
1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50
0.4x + 0.4166666667x + 0.125x =
169.50
0.9416666667x = 169.50
x = 169.50 /0.9416666667
x = 179.99999999
Approximately , the number of stationeries that Isabelle bought = x = 180
Step 3
Find the number and the amount spent on each stationery that Isabelle bought
a) i) Quantity of pencils bought = 1/3 x
x = 180
= 1/3 × 180
= 60 pencils
ii) Amount spent on pencils
If 1 pencil = $1.20
60 pencils =
60 × 1.20 = $72
b) i) Quantity of Erasers bought = 5/12x
x = 180
= 5/12 × 180
= 75 pencils
ii) Amount spent on Eraser
If 1 pencil = $1
75 pencils =
75 × 1 = $75
c) i) Quantity of rulers bought = 1/4 x
x = 180
= 1/4 × 180
= 45 pencils
ii) Amount spent on pencils
If 1 pencil = $0.50
45 pencils =
45 × 0.50 = $22.50
Step 4
We were asked to calculate how much more did she spend on erasers than rulers.
In step 3, the amount spent on Erasers = $75
the amount spent on ruler = $22.5
The difference in the amount spent = $75 - $22.5
= $52.5
Therefore, Isabelle spent $52.50 more on Erasers than rulers.
s=(n(a_(1)+a_(n)))/(2)
Answer:
tokyo
Step-by-step explanation:
I'm doing a task which involves magic v's, a maths pattern which has the rule of having the same total on each side. For e.g.
6 5
3 4
2
Is a magic v because each side adds up to 11. I need to make magic V's with the number 2-6 and 3-7. There are 24 possibilities for each number set.
Answer:
--1-- (of set 23456)
2 4
5 3
6
--2-- (of set 23456)
2 3
5 4
6
--3-- (of set 23456)
2 5
6 3
4
--4-- (of set 23456)
2 3
6 5
4
--5-- (of set 23456)
3 5
4 2
6
--6-- (of set 23456)
3 2
4 5
6
--7-- (of set 23456)
3 6
5 2
4
--8-- (of set 23456)
3 2
5 6
4
--9-- (of set 23456)
3 5
6 4
2
--10-- (of set 23456)
3 4
6 5
2
--11-- (of set 23456)
4 5
3 2
6
--12-- (of set 23456)
4 2
3 5
6
--13-- (of set 23456)
4 6
5 3
2
--14-- (of set 23456)
4 3
5 6
2
--15-- (of set 23456)
5 4
2 3
6
--16-- (of set 23456)
5 3
2 4
6
--17-- (of set 23456)
5 6
3 2
4
--18-- (of set 23456)
5 2
3 6
4
--19-- (of set 23456)
5 6
4 3
2
--20-- (of set 23456)
5 3
4 6
2
--21-- (of set 23456)
6 5
2 3
4
--22-- (of set 23456)
6 3
2 5
4
--23-- (of set 23456)
6 5
3 4
2
--24-- (of set 23456)
6 4
3 5
2
--1-- (of set 34567)
3 5
6 4
7
--2-- (of set 34567)
3 4
6 5
7
--3-- (of set 34567)
3 6
7 4
5
--4-- (of set 34567)
3 4
7 6
5
--5-- (of set 34567)
4 6
5 3
7
--6-- (of set 34567)
4 3
5 6
7
--7-- (of set 34567)
4 7
6 3
5
--8-- (of set 34567)
4 3
6 7
5
--9-- (of set 34567)
4 6
7 5
3
--10-- (of set 34567)
4 5
7 6
3
--11-- (of set 34567)
5 6
4 3
7
--12-- (of set 34567)
5 3
4 6
7
--13-- (of set 34567)
5 7
6 4
3
--14-- (of set 34567)
5 4
6 7
3
--15-- (of set 34567)
6 5
3 4
7
--16-- (of set 34567)
6 4
3 5
7
--17-- (of set 34567)
6 7
4 3
5
--18-- (of set 34567)
6 3
4 7
5
--19-- (of set 34567)
6 7
5 4
3
--20-- (of set 34567)
6 4
5 7
3
--21-- (of set 34567)
7 6
3 4
5
--22-- (of set 34567)
7 4
3 6
5
--23-- (of set 34567)
7 6
4 5
3
--24-- (of set 34567)
7 5
4 6
3
Step-by-step explanation:
This javascript code is extremely brute-force, but it does the job:
function checkIfInSet(i, set) {
return i.toString().split('').sort().join('') === set;
}
function checkIfMagic(s) {
return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))
}
function printMagic(s) {
console.log(`${s[0]} ${s[4]}`);
console.log(` ${s[1]} ${s[3]}`);
console.log(` ${s[2]}\n`);
}
function checkSet(set) {
let counter = 1;
for(let i=1; i<99999; i++) {
if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {
console.log(`--${counter++}-- (of set ${set})`);
printMagic(i.toString());
}
}
}
checkSet('23456');
checkSet('34567');
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 13.2 and 6.7
Answer:
6.5<3rd side <19.9
Step-by-step explanation:
Extremely easy. All you have to do to get the first answer is minus 13.2-6.7 which is 6.5. Then add 13.2+6.7 to get 19.9 for the other answer. So the two answers would be 6.5 and 19.9.
Your welcome
A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this
rate of flow in liters per minute. Round your answer to the nearest hundredth
Answer:
The answer to the nearest hundredth is 0.07 liters per minute
Step-by-step explanation:
In this question, we are told to express the given metric in liters per minute.
The key to answering this question, is to
have the given measurements in the metric in which we want to have the answer.
Hence, we do this by converting milliliters to liters and seconds to minute.
Let’s start with milliliters;
Mathematically;
1000 milliliters = 1 liters
10 milliliters = x liters
x * 1000 = 10 * 1
x = 10/1000
x = 1/100
x = 0.01 liters
For the seconds;
We need to convert the seconds to minutes;
Mathematically;
60 seconds = 1 minute
8.5 seconds = y minutes
60 * y = 8.5 * 1
y = 8.5/60
y = 0.14167 minutes
Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;
Hence, we have ;
0.01/0.14167 = 0.070588235294
Which to the nearest hundredth is 0.07
What is the measure of KPN?
A. 35°
B. 50°
C. 60°
D.65°
E. 70°
Answer:
Option (B)
Step-by-step explanation:
From the picture attached,
NL and KM are the two lines intersecting at a point P.
Therefore, ∠KPN ≅ LPM [Vertical angles]
In ΔPLM,
m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]
m∠LPM + 70° + 60° = 180°
m∠LPM + 130° = 180°
m∠LPM = 180° - 130°
m∠LPM = 50°
Therefore, m∠KPN = 50° [vertical angles]
Option (B) will be the correct option.
The value of KPN will be 50°.
It should be noted that the sum of the angles that are in a triangle is 180°.
Therefore, looking at the angles, the measure of KPN will go thus:
KPN + 70° + 60° = 180°
KPN + 130° = 180°
KPN = 180° - 130°
KPN = 50°
Therefore, KPN will be 50°.
Read related link on:
https://brainly.com/question/17226102
A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?
Answer:
This is an experiment because a treatment was applied to a group.
Step-by-step explanation:
There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.
What is the ratio of the length of to the length of?
Answer:
1/4
Step-by-step explanation:
What is the ratio of the length of to DE the length of BC
The perimeter of a sector is given by:
P = [tex]\frac{\theta}{360}**2\pi r[/tex]
Where [tex]\theta[/tex] is the angle it subtends from the center and r is the radius of the circle.
For Sector ADE, the radius (r) = r/2 and the angle [tex]\theta[/tex] = β. Therefore:
Perimeter of DE = [tex]\frac{\beta}{360}**2\pi (\frac{r}{2} )=\frac{\beta}{360}(\pi r)[/tex]
For Sector ABC, the radius (r) = r and the angle [tex]\theta[/tex] = 2β. Therefore:
Perimeter of BC = [tex]\frac{2\beta}{360}**2\pi r=\frac{2\beta}{360}(2\pi r)=\frac{\beta}{360}*(4\pi r)[/tex]
The ratio of the length of to DE the length of BC =
Answer:
1/4
Step-by-step explanation:
if the gradient of the line joining the points [4,-9]and [-3,h]is -3, find the value of H
Answer:
h = 12Step-by-step explanation:
To find the value of h use the formula for finding the slope of a line
That's
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Where ( x1, y1) and (x2 ,y2) are the points
From the question
slope = - 3
The points are [4,-9] and [-3,h]
Substitute these values into the equation
We have
[tex] - 3 = \frac{h + 9}{ - 3 - 4} [/tex]
[tex] - 3 = \frac{h + 9}{ - 7} [/tex]
Cross multiply
That's
- 3(-7) = h + 9
21 = h + 9
h = 21 - 9
We have the final answer as
h = 12Hope this helps you
Adam and his dad share the cost of a meal in the ratio of 2:3.
Adam's dad pays £52.20.
What is the total cost of the meal?
Answer:
£ 87.00
Step-by-step explanation:
52.20*2/3=52.20/3*2=17.4*2=34.8
52.20+34.80=87.00
5/14, 7/10, 5/6, 11/15, 19/21 arrange from ascending order
Answer:
5/14, 7/10, 11/15, 5/6, 19/21.
Step-by-step explanation:
Covert the fractions to decimal form:
5/14 = 0.357
7/10 = 0.7
5/6 = 0.833
11/15 = 0.733
19/21 = 0.905.
So in ascending order this is:
5/14, 7/10, 11/15, 5/6, 19/21.
Answer:
Step-by-step explanation:
to arrange in ascending order, we need to convert them into like fractions
to convert them into like fractions, we need to find the LCM of the denominators
the LCM of the denominators ( 14, 10, 6, 15 and 21 ) is 210
5/14 × 15/15 = 75/210
7/10 × 21/21 = 147/210
5/6 × 35/35 = 175/210
11/15 × 14/14 =154/210
19/21 × 10/10 = 190/210
75/210 < 147/210 < 154/210 < 175/201 < 190/210
∴ 5/14 < 7/10 < 11/15 < 5/6 < 19/21
Hope this helps
plz mark as brainliest!!!!!!!
what is the answer to 1/8=s-3/4
Answer:
7/8 =s
Step-by-step explanation:
1/8=s-3/4
Add 3/4
1/8 + 3/4 = s -3/4 +3/4
1/8 + 3/4 = s
Get a common denominator
1/8 + 3/4 *2/2 = s
1/8 + 6/8 =s
7/8 =s
1/8 = s - 3/4
1/8 = s -6/8 ( * 2/2)
7/8 = s
s = 7/8
Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] [tex]Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\][/tex]
There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
Please answer this question now
Answer:
1471.15
Step-by-step explanation:
The heights of two similar parallelograms are 16 inches and 20 inches. Their
respective areas are (3x+5) square inches and 9x square inches. Find the value of
X?
Answer: [tex]x=\dfrac{25}{21}[/tex]
Step-by-step explanation:
Area of parallelogram = Base x height
If two parallelograms are similar, then their corresponding sides are proportional.
That means, [tex]\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}[/tex]
[tex]\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}[/tex]
Hence, [tex]x=\dfrac{25}{21}[/tex]
The sum of the numerator and denominator of a
fraction is 12. If the denominator is increased by 3,
the fraction becomes 1/2.
Find the fraction.
plz answer step by step
[tex]x+y=12\\\dfrac{x}{y+3}=\dfrac{1}{2}\\\\x=12-y\\2x=y+3\\\\2(12-y)=y+3\\24-2y=y+3\\3y=21\\y=7\\\\x=12-7=5\\\\\dfrac{x}{y}=\dfrac{5}{7}[/tex]
a pack of 4 choclates cost 1.80 pounds how much is the price per unit
Answer:
0.45p
Step-by-step explanation:
4 chocolates = £1.80
1 chocolate = x
x= 1.80× 1 = 1.80÷4 = 0.45p
1 = 0.45p
I HOPE THIS HELPED :)
What are the dimensions of the matrix?
Answer:
4 x 3
Step-by-step explanation:
The order of a matrix is given by stating the number of rows followed by the number of columns.
The matrix here has 4 rows and 3 columns thus order is
4 x 3
Please Help! 30 POINTS! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+4x−1 B. f(x)=−2x2+5x−1 C. f(x)=−3x2+10x−1 D. f(x)=−5x2+8x−1 Determine if the following set of ordered pairs represents a quadratic function. Explain. (5, 7), (7, 11), (9, 14), (11, 18) A. The y-values go up by the square of the x-value (22=4). Therefore, the ordered pairs represent a quadratic equation. B. The y-values go up by the square of the x-value (22=4). Therefore, the ordered pairs do not represent a quadratic equation. C. Since the differences between the x-values is 2 and the differences between the y-values is 4, that means that the differences between the differences of the y-values are all zero. Therefore, the ordered pairs represent a quadratic equation. D. Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
Answer:
(1) B
(2) D
Step-by-step explanation:
(1)
Let the quadratic function be:
[tex]y = ax^{2} + bx + c[/tex]
For the point, (0,-1),
[tex]y = ax^{2} + bx + c[/tex]
[tex]-1=(a\times0)+(b\times0}+c\\-1=c\\c=-1[/tex]
Then the equation is:
[tex]y = ax^{2} + bx -1[/tex]
For the point (-1, -8) ,
[tex]y = ax^{2} + bx -1[/tex]
[tex]-8=(a\times (-1)^{2})+(b\times -1)-1\\-8=a-b-1\\a-b=-7...(i)[/tex]
For the point (1, 2) ,
[tex]y = ax^{2} + bx -1[/tex]
[tex]2=(a\times (1)^{2})+(b\times 1)-1\\2=a+b-1\\a+b=3...(ii)[/tex]
Add the two equations and solve for a as follows:
[tex]a-b=-7\\a+b=3\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\2a = -4\\a = -2[/tex]
Substitute a = -2 in (i) and solve for b as follows:
[tex]a-b=-7\\-2-b=-7\\b=5[/tex]
Thus, the quadratic function is:
[tex]f(x)=-2x^{2}+5x-1[/tex]
The correct option is (b).
(2)
The ordered pairs are:
(5, 7), (7, 11), (9, 14), (11, 18)
Represent them in an XY table as follows:
X : 5 | 7 | 9 | 11
Y : 7 | 11 | 14 | 18
Compute the difference between the Y values as follows:
Diff = 11 - 7 = 4
Diff = 14 - 11 = 3
Diff = 18 - 14 = 4
Now compute the difference between the Diff values:
d = 3 - 4 = -1
d = 4 - 3 = 1
Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
The correct option is D.
determine whether or not the function r(x) =x^2-2 is one -to-one
Answer:
The function is not one-to-one
Step-by-step explanation:
This is a quadratic function.
[tex]f(x)=x^2-2[/tex]
A function is one-to-one
[tex]\text{if } f(x_1)=f(x_2) \Leftrightarrow x_1=x_2[/tex]
The function given is not one-to-one because there are values of the input [tex]x[/tex], which leads to the same output.
For example.
[tex]y=f(2)=2^2-2=\boxed{2}[/tex]
[tex]y=f(-2)=(-2)^2-2=\boxed{2}[/tex]
There are 8 marbles in a bag, each with a different color. How many different groups
of 4 marbles can we select?
Answer:
70
Step-by-step explanation:
8 choose 4
= (8!)/(4!*4!)
=(8*7*6*5)/(4*3*2*1)
=1680/24
=70
Answer:
4/8 simplified=1/2
Step-by-step explanation:
i hope this is right sorry if not
Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).
Answer:
h(f(x)) = 2x - 11Step-by-step explanation:
f(x) = x - 7
h(x) = 2x + 3
To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)
That's
h(f(x)) = 2(x - 7) + 3
h(f(x)) = 2x - 14 + 3
We have the final answer as
h(f(x)) = 2x - 11Hope this helps you
What are the solutions to the equation (2x – 5)(3x – 1) = 0? x = or x = 3 x = x = 5 or x = 1
Answer:
x = 5/2 x=1/3
Step-by-step explanation:
(2x – 5)(3x – 1) = 0
Using the zero product property
2x-5 =0 3x-1 =0
2x=5 3x =1
x = 5/2 x=1/3
Answer:
C on edg 2021
Step-by-step explanation:
the length of rectangle is 6/5 of its breath and perimeter is 132 m find area of rectangle
Answer:
1,080 meters squared.
Step-by-step explanation:
Let's say the breadth of the rectangle is x. That means the length of it is 6/5x.
The perimeter is 132 meters. The formula for the perimeter is 2 times the breadth plus two times the length.
2(x) + 2(6/5x) = 132
2x + 12/5x = 132
10/5x + 12/5x = 132
22/5x = 132
22x = 660
x = 30.
That means that the breadth of the rectangle is 30 meters, and the length is (6/5) * 30 = 6 * 6 = 36 meters.
The formula for the area of the rectangle is the breadth times the length, so the area is 36 * 30 = 1,080 meters squared.
Hope this helps!
