Answer:
-3[tex]h^{2}[/tex] -17h + 28
Step-by-step explanation:
Which of the following functions is graphed below?
15
10
5
o
.
0
6
2
8
N
-4
- 8 -6
ch
O A. y-
fP-2.x <1
1x2 +4.21
- 2x21
B. y -
PR-2x > 1
O C. y -
OD. 1-2x51
1.4.> 1
Answer:
B
Step-by-step explanation:
B
The functions which are graphed below are 1-2x51 1.4.> 1, the correct option is D.
What is a solution to a system of equations? (SOLUTION GRAPHICALLY)For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We are given that;
The graph of the function
Now,
Let’s apply these steps to your question. The given piecewise function has three pieces:
f (x) = {−2x, x < −1 −|x|, −1 ≤ x ≤ 1 2−x2, x > 1 f ( x) = { − 2 x , x < − 1 − | x | , − 1 ≤ x ≤ 1 2 − x 2 , x > 1
The first piece is a linear function with slope -2 and y-intercept 0. It is defined for all values of x less than -1. To graph this piece, we can use two points: (-2,4) and (-1,-2). We use an open circle at (-1,-2) because this point is not included in this interval.
The third piece is a quadratic function with vertex at (0,2). It is defined for all values of x greater than 1. To graph this piece, we can use three points: (0.5, 3/4), (1,0), and (2,-2). We use an open circle at (0.5,3/4) because this point is not included in this interval.
The final graph looks like this:
To find which option matches the given graph, we can compare their equations with the given pieces.
Option A has f(x) = -|x| when -∞ < x < ∞. This does not match any of the pieces.
Option B has f(x) = -|x| when -∞ < x ≤ -3 or -3 < x ≤ ∞. This does not match any of the pieces.
Option C has f(x) = -|x| when -∞ < x ≤ ∞. This matches only one of the pieces.
Option D has f(x) = {−2x,x<−12−x,x≥−12 f(x)=−2xx<−12−xx≥−12 . This matches none of the pieces.
Therefore, by the given graph the answer will be 1-2x51 =1.4.> 1
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Find a point-slope form for the line with slope 1/5 and passing through the point (-6,-4)
Answer:
(y +4) = 1/5( x +6)
Step-by-step explanation:
Point slope form is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
(y - -4) = 1/5( x - -6)
(y +4) = 1/5( x +6)
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
a circle has a diameter 9cm
Pls help meeeeeeeeeeeeeeeeeeeeeee
Answer:
A=63.585 cm²
Step-by-step explanation:
Note : It is not given what to find so i am finding are of the circle.
D=9cm
r=D/2
r=9/2
r=4.5
Area of the circle :
A=πr²
A=π4.5²
A=63.585 cm²
What is the area of the rectangle below? 8 17 O A. 68 sq. units O B. 25 sq. units O C. 136 sq. units O D. 50 sq. units
Answer:
136 sq units
Step-by-step explanation:
area = length * width
a = 17 * 8
a = 136 sq units
The area of the rectangle is given by the equation A = 136 units²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Let the length of the rectangle be L
Now , the value of L = 17 units
Let the width of the rectangle be W
Now , the value of W = 8 units
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle A = 8 x 17
Area of rectangle A = 136 units²
Therefore , the value of A is 136 units²
Hence , the area of rectangle is 136 units²
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6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
Translate the following phrase to a mathematical expression, and then evaluate the expression for n = 24.
the quotient of a number and four
O 4 n; 96
O n / 4; 6
O 4 / n; 7
O n / 4; 28
Answer:
B. n / 4; 6
Step-by-step explanation:
Let
n = the unknown number
the quotient of a number and four
= n/4
When n = 24
The expression becomes
= n/4
= 24/4
= 6
B. n / 4; 6
Answer:
I am a boy all bad girls co me.
roi-dfwr-bxc
The entries in the register of a bank account are shown in the table.
Account Register
Date
Withdrawal
Deposit
Balance
April 2
$1,976.20
April 3
$27.60
April 6
$192.70
April 8
$532.18
April 9
$35.90
?
What is the balance in this register after the withdrawal on April 9 ?
O A. $1,187.82
O B. $1,645.02
OC. $2,307.38
O D. $2,764.58
A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?
The correct answer is the Additive rate of change.
We have given that,
A data set contains an independent and a dependent variable.
Let x be the independent variable and y be the dependent variable.
To write the relationship we will have :
y = kx + c
Where k and c are constants.
In the case of a line, the constant k is the gradient.
A multiplicative change is a log form and it is given by :
What is the exponential form?Y = Ck^x
The relationship is not linear but exponential.
The correct answer is the Additive rate of change.
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What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term
Answer:
Add -8
Step-by-step explanation:
Take the second term and subtract the first term
6-14 = -8
Check with the third and second terms
-2 -6 = -8
We are subtracting 8 from each side
(or adding -8)
Step-by-step explanation:
14, 6, -2, -10 , -18
ok so if you are starting at 14 then you would be add -8
14-8=6
6-8=-2
so on and so on..
But if you are starting from -18 then you would add 8
-18, -10,-2, 6, 14
-18+8=-10
-10+8=-2 so on and so on
so either one of those depending on which number your starting with
Complete the statement
Answer:
<RQS = <RSQ
Step-by-step explanation:
IRQ = RS, then QRS is an isosceles triangle and the base angles are equal
<RQS = <RSQ
A 30-60-90 triangle's short leg has a length of 25. What is the length of the longest leg?
Answer:
25[tex]\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 Triangles
short leg = x
long leg = x[tex]\sqrt{3}[/tex]
hypotenuse = 2x
Help me besties
Find the measure of each angle in a regular 55 sided polygon.
[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]
point a is on line segment RT. Given ST = 2x, RT = 4x, and RS = 4x -4 determine the numerical length of RS
Ayuda plissss es para hoy
Answer and Step-by-step explanation:
1.
First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]
2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex] <- This is the answer. Esta es la respuesta.
2. First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]
[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1 <- This is the answer. Esta es la respuesta.
3. Make the fractions have the same denominator, then add, then multiply by 40.
Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.
[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]
[tex]\frac{47}{40}[/tex] × 40 = E) 47 <- This is the answer. Esta es la respuesta.
I hope this helps! #TeamTrees #PAW (Plant And Water)
¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)
Find value of angle w
Answer:
w = 134°
Step-by-step explanation:
w and 46° are adjacent angles and sum to 180° , that is
w + 46° = 180° ( subtract 46° from both sides )
w = 134°
Answer:
134 degrees
Step-by-step explanation:
These are known as supplementary angles, or two angles that add up to 180 degrees. We know they add up to 180 degrees because they both lie upon the same straight line.
Using this information, we can take:
180 = 46 + w
134 = w
134 degrees
A right triangle as shown below
Answer:
sin a = 7/25
cos a = 24/25
tan a = 7/24
Step-by-step explanation:
Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.
SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)
Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!
sin a = 7/25
cos a = 24/25
tan a = 7/24
If needed, just divide the ratios to get their decimal form!
A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.
Answer:
$35
Step-by-step explanation:
1-2/7=5/7 (remaining money left after shopping)
2/5×5/7=2/7 (amount of money lost)
5/7-2/7=3/7 (amount of money she has now)
3/7=$15
1/7=$5
7/7=$35
Hence, total amount of money she has before she went shopping=$35
hope it helps:))))
or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
Tn=2n-5 write down four term in a sequence
Answer:
- 3, - 1, 1, 3
Step-by-step explanation:
To find the first four terms, substitute n = 1, 2, 3, 4 into the rule
T₁ = 2(1) - 5 = 2 - 5 = - 3
T₂ = 2(2) - 5 = 4 - 5 = - 1
T₃ = 2(3) - 5 = 6 - 5 = 1
T₄ = 2(4) - 5 = 8 - 5 = 3
The first 4 terms are - 3, - 1, 1, 3
Answer:
Four terms will be :--3,-1,1,3
Step-by-step explanation:
Given :
Tn=2n-5
Now, putting the value of n=1,2,3,4
T(1)=2(1)-5
T(1)=2-5
T(1)=-3
T(2)=2(2)-5
T(2)=4-5
T(2)=-1
T(3)=2(3)-5
T(3)=6-5
T(3)=1
T(4)=2(4)-5
T(4)=8-5
T(4)=3
(x^2)^3÷x^6 HELLLLP
Answer:
x
Step-by-step explanation:
(x²)³ ÷ x⁶
x⁶ ÷ x⁶
x
someone please help please im begging someone help me ASAP!!! i’m struggling
Answer:
JK--- TU
KL--- UV
JL---TV
Answer:
JK- TU , KL-UV , JL-TV
Step-by-step explanation:
hope this helps
Plzzzzz help ill make you brainliest
Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?
1 4,756 m
2 4,744 m
3 4,750 m
4 1,250 m
Answer:
4 1250 m
Step-by-step explanation:
Hope it helps you.
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
Aline has a slope of -3 and a y-intercept of 3
what is the x-intercept of the line?
Answer:
(1,0)
Step-by-step explanation:
y = -3x+3
simple, to find the x-intercept, what does x equal for y to be 0?
when x is 1, y equals 0, so the x-intercept would be at (1,0)
evaluate the expression when
n=3
60n(2 - n) = ?
Answers+steps please?
what is the estimate product of 345 and 34?
Answer:
7000
Step-by-step explanation:
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos runs along the shore for a while and then jumps into the water and swims from there directly to the child. Santos can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Santos run before jumping into the water in order to save the child
Answer:
Santos should run approximately 36.145 meters along the shore
Step-by-step explanation:
The given parameters are;
The distance along the shore of the child = 50 meters
The distance from the shore of the child = 60 meters
The rate at which Santos can run = 4 m/s
The rate he can swim = 0.9 m/s
Let 'x' represent the distance he runs along the shore
We have;
The time he spends running on the shore, t₁ = x/4
The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9
The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9
To find the maximum, we have;
dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0
1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0
Simplifying using a graphing calculator gives;
[tex]\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}[/tex]
1519·x² - 151900·x + 3505900 = 0
x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)
x ≈ 63.86 m or x ≈ 36.145 m
We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same
Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child
