Evaluate 4(x-3)+5x-x^2 for x = 5
Answer:
the answer is 8
Step-by-step explanation:
1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]
2. solve everything out and cancel: 4(2)+25-25
3. 4(2)=8
Step-by-step explanation:
Given that:
Evaluate 4(x-3)+5x-x^2 for x = 5
⇛4(5-3)+5(5)-5²
⇛4(2) + 25 - 5*5
⇛8 + 25 - 25
⇛8 - 0
⇛8 Ans
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Similar questions
Evaluate the expression 3 4/5x − 2 1/2 for x = −5.
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What is the average rate of change of the function from x=1 to x=3?
Answer:
3
Step-by-step explanation:
Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole.
Relative to ground level, what is the elevation of the hole after placing the bush in the hole?
Enter your answer as a simplified mixed number in the box.
Answer: IMA LET YOU KNOW THIS THAT ITS ACTUALY -3 8/10
Step-by-step explanation:
________|45 ÷ 15=3|__________________________|5/6 AND 3/4: 5 + 3= 8, 6 + 4= 10|If Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole. Then the elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Parin digs a hole at a rate of 5/6 feet every 15 minutes.
In 45 minutes, Parin digs a hole of 5/6×45/15
5/6×3
5/2
The total depth of the digging = 5/2
Now, 3/4 feet dig is filled by bush, so the remaining elevation of the depth, = 5/2- 3/4
five by two minus three by four.
5/2-3/4
Take LCM of 2 and 4
(10-3)/4
7/4
the elevation of the hole after placing the bush in the hole is 7/4.
Now we can write in mixed fraction [tex]1\frac{3}{4}[/tex]
Hence elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
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1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm
#1
d=14cmr=14/2=7cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]
[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]
#2
r=1cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]
#3
d=10cmr=5cm[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]
[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]
Answer:
1. Diameter of a semicircles =14cm
Radius or semicircle =7cm
*Area if circle =pi radius 2
=22/7 × 7×7cm 2
=154cm 2
But semicircle is half if a circle so,
Area of a semicircle =1/2 ×154cm2
=77cm2
2. Radius of the circle =1cm
Area of the circle=pi radius 2
=3.14×1×1
=3.14cm2
3.Diameter of a circular lawn=10m
Radius of the circular lawn =5m
Area of the circular lawn =pi radius2
=3.14×5m×5m
=78.5m2
Hope this helps:)What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
A new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20mg. How many milligrams of the vitamin are in the drink?
is the product of two irrational numbers always gonna be irrational
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
RAMP
21.7 ft
8.5 ft
12 ft
20 ft
1. What is the total surface area of the ramp?
The surface area of the triangular prism ramp is: 1,020 ft².
Surface Area of Triangular PrismSurface area = 1/2(base area × height)
The triangular prism has the following dimensions:
base area = 20 × 12 = 240 ft²
height = 8.5 ft
Plug the values into the formula:
Surface area = 1/2(240 × 8.5)
Surface area = 1/2(2,040)
Surface area = 1,020 ft²
Therefore, the surface area of the triangular prism ramp is: 1,020 ft².
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Solve the following system of equations graphically on the set of axes below.
y=x+1
3x+y=−7
(worth 60 points)
Answer:
(-2, -1)Step-by-step explanation:
Given system:
y = x + 13x + y = − 7Graph each line and find the point of intersection of lines.
Graphical solution is attached.
The solution is (-2, -1)
(-2, -1)
y = x + 1 ... (1)
3x + y = -7 ... (2)
Graph in the picture.
1. Jamie bought 4 pounds of sugar for $2.56. What is the cost of sugar per pound?
a) $0.64 per pound
b) $1.64 per pound
c) $1.50 per pound
d) $0.75 per pound
Answer:
Answer:It is A
Step-by-step explanation: 2.56÷4
Hope that helps!!
PLS HELP!!! WILL GIVE BRAINLIEST AND 5 STARS
Answer:
she had to sy difference of 35 and 16
sum of 10 and 9
sum of 14 and 2
Step-by-step explanation:
This is slopes — what is ( 7, 12 ) , ( 19 , -4 ) ?
Answer:
slope = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, 12 ) and (x₂, y₂ ) = (19, - 4 )
m = [tex]\frac{-4-12}{19-7}[/tex] = [tex]\frac{-16}{12}[/tex] = - [tex]\frac{4}{3}[/tex]
Why do the graphs of basic exponential functions all have the point (0,1) in common?
Explain your answer using a few complete sentences.
Answer:
b/c any real number to the power of zero is one
Step-by-step explanation:
let a be any real number then
a^0=1
1.) 5x-10=2x-7
2.) 1+x=-5x+25
3.) 8-x=5x+20
4.) -2+2x=6x-6
5.) 3x+2=4x+4
Reciprocal of 7 5/8 as fraction
Hey there!
7 5/8
= 7 * 8 + 5 / 8
= 56 + 5 / 8
= 61 / 8
= 61 ÷ 8
= 7.625
Reciprocal form for fraction is basically the bottom number switched from the top number
Therefore, your answer is: 7 8/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x, x < or equal 200
0.10 (x - 200) + 30, x > 200
determines
the bill.
How much is the bill for a person who uses 300 kWh in a month?
A. $45
B. $40
Ο Ο Ο Ο
C. $60
D. $55
please help
Answer:
B. 40
Step-by-step explanation:
if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].
The bill for a person who uses 300 kWh in a month is $40.
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
For a person who uses 300 kWh in a month, we need to use the second part of the function:
b(x) = 0.10(x - 200) + 30, x > 200
Substituting x = 300, we get:
b(300) = 0.10(300 - 200) + 30
b(300) = 0.10(100) + 30
b(300) = 10 + 30
b(300) = 40
Therefore,
The bill for a person who uses 300 kWh in a month is $40.
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Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answer:
4/9
Hope i helped
Estimate a 15% tip on a dinner bill of 68.47 by first rounding the bill amount to the nearest ten dollars. please help thanks
You invest $10,000 into two accounts. One account earns 5% annually and the other earns 8% annually. If the total interest earned from both accounts in a year is $590, how much is invested in each account?
Answer:
$7,000 in the 5% account
$3,000 in the 8% account
Step-by-step explanation:
Let x be the amount invested at 5% the remainer is at 8%
.05x + .08(10000 - x) = 590
Distribute
.05x + 800 - .08x = 590
Combine like terms
-.03x = -210
Divide both sides by-.03
x = 7000 in the 5% account
1000 - x = 3000 in the 8% account
Exponent question. image attached
Step-by-step explanation:
Find a common power for them all, then divide and get your answer
What is 926 - 628 estimated using compatible numbers
Answer:
298
Step-by-step explanation:
help pls ill give you brainliest :))
Answer:
D) 14.2
Step-by-step explanation:
HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
Write the equation in point-slope form of the line that passes through the given point with the given slope.
m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
Answer:
[tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Slope m = -1
Point [tex]\displaystyle (-\frac{1}{5} ,\ 5)[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - 5 = -(x - -\frac{1}{5})[/tex][Order of Operations] Simplify: [tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]Compare the properties of each exponential function over the interval(0,4)
Answer:
sdgsehseh
Step-by-step explanation:
sehsdhsehsdhs
PLS HURRY, LOTS OF POINTS
If point N is the centroid of HIJ, IM = 18, KN = 4, and HL = 15, find NM.
Answers:
12, 6, 8, or 2
The centroid of a triangle divides the triangle in 1/3 and 2/3.
The length of NM is 6 units
The given parameters are:
IM = 18
KN = 4
HL = 15
The centroid of the triangle divides line IM to NM and NI, where NM < NI
So, we have:
[tex]\mathbf{NM = \frac 13 \times IM}[/tex]
This gives
[tex]\mathbf{NM = \frac 13 \times 18}[/tex]
Expand
[tex]\mathbf{NM = 6}[/tex]
Hence, the length of NM is 6 units
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In AHIJ, the measure of ZJ=90°, the measure of ZI=62°, and IJ = 57 feet. Find the
length of JH to the nearest tenth of a foot.
Answer:
[tex]x = 107.2[/tex]
Step-by-step explanation:
[tex]57 = ih \cos(62) \\ ih = \frac{57}{ \cos(62) } \\ \\ x = ih \sin(62) \\ x = \frac{57}{ \cos(62) } \times \sin(62) \\ x = 107.2[/tex]
Answer:
Step-by-step explanation:
The graph had prove the adjacent length of angle ZI, which is 57. And asks the opposite side of angle ZI, we use tan. to solve for x.
tan (62) = opposite side / adjacent side
tan (62) = x / 57
tan (62) x 57 = x
x = 107.2
The average electric bill from Duke Energy is $147 with a standard deviation of $32. What is the probability that the bill will be less than $100?
Group of answer choices
93%
10%
7%
17%
The probability that the bill will be less than $100 is 7%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]
From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%
The probability that the bill will be less than $100 is 7%
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