Note: For question 15, your teacher will grade your responses to ensure you receive proper credit for your answers.

Juan and Rita both rode bicycles from the park to Main Street. The graphs below represent the time and distance for each student’s ride. Who rode more slowly? Justify your answer.

Answer:

19ft

Step-by-step explanation:

Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.

The velocity of the ball is zero at maximum height and it is expressed as:

V(x) = dy/dx

V(x) = -32x+32

Since v(x) = 0

0 = -32x+32

32x = 32

x = 32/32

x = 1s

Get the height y

Recall that y = -16x² + 32x + 3.

Substitute x = 1

y = -16(1)²+32(1)+3

y = -16+32+3

y = -16+35

y = 19ft

Hence the maximum height reached by the ball is 19ft

Answer:

1 Simplify  \frac{24}{5}x  

5

24

​  

x  to  \frac{24x}{5}  

5

24x

​  

.

\frac{24x}{5}=-\frac{11}{4}

5

24x

​  

=−  

4

11

​  

2 Multiply both sides by 55.

24x=-\frac{11}{4}\times 5

24x=−  

4

11

​  

×5

3 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}  

b

a

​  

×c=  

b

ac

​  

.

24x=-\frac{11\times 5}{4}

24x=−  

4

11×5

​  

4 Simplify  11\times 511×5  to  5555.

24x=-\frac{55}{4}

24x=−  

4

55

​  

5 Divide both sides by 2424.

x=-\frac{\frac{55}{4}}{24}

x=−  

24

4

55

​  

​  

6 Simplify  \frac{\frac{55}{4}}{24}  

24

4

55

​  

​  

  to  \frac{55}{4\times 24}  

4×24

55

​  

.

x=-\frac{55}{4\times 24}

x=−  

4×24

55

​  

7 Simplify  4\times 244×24  to  9696.

x=-\frac{55}{96}

x=−  

96

55

​  

Step-by-step explanation:

Answer:25 %

Step-by-step explanation:

Given

Last month count of chicken was [tex]20[/tex]

The current count of chicken is [tex]25[/tex]

The percentage increase is given by

[tex]\Rightarrow \dfrac{\text{Present value-Actual value}}{\text{Actual value}}\times 100[/tex]

Putting values

[tex]\Rightarrow \%=\dfrac{25-20}{20}\times 100=\dfrac{5}{20}\times 100\\\\\Rightarrow \%=25\%[/tex]

Answer:

Y = 1/2x

Step-by-step explanation:

x is the amount of cups the cat eats so if it eats 1/2 cup of food each da it would be 1/2x

Answer:

8b+17=65 is the first equation

b=6

the value of b has increased by 4

Step-by-step explanation:

hope it helps

Answer:

D

Step-by-step explanation:

Answer:

Experimental prob

Step-by-step explanation:

Experimental means you actually did it thats why its called experimental.

Theoretical means a guess in the future

Answer:

Step-by-step explanation:

height h=1.2 m

radius r= D/2=4.5=2.25 m

Volume V=πr²h=π(2.25)²×1.2  ≈3.18m³

Answer:

2/5 cups

Step-by-step explanation:

(3/4)*8=6

6/15= 2/5

Answer:

?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B. The slope is 4. The y-intercept is (0, -9).

Step-by-step explanation:

i took it on A P E X

Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

A table is formed by a set of points (x, P(x)), and represents a probability distribution if:

In this problem:

Hence, the table that represents a probability distribution is given as follows:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

More can be learned about a probability distribution at https://brainly.com/question/24855677

Answer:

If blue ribbon is 10 inches, red ribbon is 3 inches

If blue ribbon is 27 inches, red ribbon is 20 inches

If blue ribbon is x inches, red ribbon is x - 7 inches

Step-by-step explanation:

Given that,

Need to find,

--------------------------------------------------------------------------------------------------------------

How long is the red ribbon if the blue ribbon is 10 inches?

We know that the formula for find the length of the red ribbon is:

length of blue ribbon - 7 inches = length of red ribbon

Since we know the length of the blue ribbon (10 inches), we can apply that to the formula:

10 inches - 7 inches = length of red ribbon

So, what is 10 - 7? That gives us 3. So, the length of the red ribbon is 3 inches if the length of the blue ribbon is 10.

--------------------------------------------------------------------------------------------------------------

How long is the red ribbon if the blue ribbon is 27 inches?

We do the same as we did above to get 20 inches as the final answer because 27 inches - 7 inches gives us 20 inches as a difference.

--------------------------------------------------------------------------------------------------------------

How long is the red ribbon if the blue ribbon is x inches?

Since we do not know the value of x, we keep the length of the red ribbon to x - 7.

The length of the red ribbon is 3 inches if the blue ribbon is 10 inches.

The length of the red ribbon is 20 inches if the blue ribbon is 27 inches.

The length of the red ribbon is (X - 7) inches if the blue ribbon is X inches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of blue ribbon = x

Length of red ribbon.

= x - 7

Now,

If x = 10
Length of red ribbon.

= 10 - 7

= 3 inches

If x = 27

Length of red ribbon.

= 27 - 7

= 20 inches

If x = X

Length of red ribbon.

= (X - 7) inches

Thus,

The length of the red ribbon is given above.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

yes

Step-by-step explanation:

Answer:

(2x + 1) (x + 2)

Step-by-step explanation:

2x² + 4x + 1x + 2

They are already arranged, so you just have to find the GCF. 2x² + 4x  have the GCF of 2 and 1x + 2 have the GCF of 1.

2x (x + 2) + 1(x + 2)

Now you divide the whole thing by x + 2.

2x (x + 2) + 1(x + 2)/ x + 2

One of them cancels out  leaving (2x + 1) and (x+2)

Answer:

c> 34-19

Step-by-step explanation:

C> 15

Answer:

BC = 20 units

Step-by-step explanation:

if ∡C = ∡B then 2x + 16 = 7x + 6

16 = 5x + 6

10 = 5x

x = 2

BC = 2(2) + 16, which is 20

Answer:

77

Step-by-step explanation:

44÷4=11 she wraps 11 presents in one hour so 11×7=77 so she wraps 77 presentS in 7 hours

Answer:

77

Step-by-step explanation:

First we have to find the unit rate. So we divde 44 by 4 and get 11. To find how any presents she can wrap in 7 hours, we multiply 7 by 11 to get 77. So, she can wrap 77 presents in 7 hours.      

Answer:

Step-by-step explanation:

Answer:

0.67

Step-by-step explanation:

correct

Answer: The answer would be 3z! Good luck!

Step-by-step explanation: Subract z from 4z, basically turn the equation to 4z - 1z, then put the variable (z) to the side and subtract 1 from 4. Once you're

done with that bring your variables back and you have 3z!

Answer:

-15

-5 – [-17 + (15 -6)] + (-15 - 8) – {-1 + (8 - 9) + (7 - 10)}

-5-(-17+9)+(-23)-(-1+(-1)+(-3))

-5-(-8)-23-(-1-1-3)

-5+8-23-(-5)

-5+8-23+5

=-15

Answer:

Step-by-step explanation:15 9 17 A = 7 0 8 8 10 9 i A-1 =

Answer:

okay so Y can be 6

and x can be 3

Step-by-step explanation:

so first 2*x=y

the most most likely answer will be y is 6 and x is 3 because

5*3=15

y=6

15-6=9

so x is 3 and y is 6

Answer:

-8,-9,-10,-11,-12,-13

Step-by-step explanation:

Answer:

y=-3x+4

Step-by-step explanation:

Answer:

[tex]m\angle QSN=65^\circ[/tex]

Step-by-step explanation:

In the given figure, PQRS is a rhombus and SRM is an equilateral triangle.

We are also given that SN⊥RM and that ∠PRS = 55°.

And we want to find the measure of ∠QSN.

Remember that since PQRS is a rhombus, the angles formed by its diagonals are right angles. Let the intersection point of the diagonals be K. Therefore:

[tex]m\angle RKS=90^\circ[/tex]

Now, RKS is also a triangle. The interior angles of all triangles must be 180. Thus:

[tex]m\angle RKS+m\angle KSR+m\angle SRK=180[/tex]

Substitute in known values:

[tex]90+55+m\angle KSR=180[/tex]

Solve for ∠KSR:

[tex]m\angle KSR+145=180\Rightarrow m\angle KSR=35^\circ[/tex]

Since SRM is an equilateral triangle, this means that:

[tex]m\angle SRM=m\angle RMS=m\angle MSR=60^\circ[/tex]

Note that RNS is also a triangle. Therefore:

[tex]m\angle SRM+m\angle RNS+m\angle NSR=180[/tex]

Substitute in known values:

[tex]60+90+m\angle NSR=180[/tex]

So:

[tex]m\angle NSR+150=180\Rightarrow m\angle NSR=30^\circ[/tex]

∠QSN is the addition of the two angles:

[tex]m\angle QSN=m\angle KSR+m\angle NSR[/tex]

Therefore:

[tex]m\angle QSN=35+30=65^\circ[/tex]

Answer:

[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]

Step-by-step explanation:

we are given a rombus and an equilateral triangle and [tex]\angle PRS[/tex]

said to figure out [tex]\angle QSN[/tex]

we know that

every angle of an equilateral triangle is 60°

so

[tex]\displaystyle \angle SRM[/tex] should be 60°

the point where two diagonals of triangle intercept be x

recall the diagonals of a rhombus intercept each other at right angles

so [tex]\displaystyle \angle SXR [/tex] should be 90°

we are also given SN [tex] \displaystyle \perp[/tex] RM

so [tex]\displaystyle\angle RNS[/tex] should be 90°

notice that SXRN is a quadrilateral

so the sum of its interior angles is 360°

according to the question

[tex] \displaystyle\sf\angle RNS + \angle SXR + \angle PRM + \angle \: QSN = 360[/tex]

substitute the value of [tex]\angle RNS,\angle SXR\: and \: \angle PRM[/tex]

[tex] \displaystyle\sf {90}^{ \circ} + {90}^{ \circ} + {115}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle\sf {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]

cancel 295 from both sides:

[tex] \displaystyle\sf {295}^{ \circ} - {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} - {295}^{ \circ} [/tex]

hence

[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]

Answer:

26.226

Step-by-step explanation:

Answer:

y= *greater than or equal to sign* 2500x+17500

The answer is: A

Step-by-step explanation:

Hope this help   :)

Answer:

It's C

Step-by-step explanation:

I put in A for my exam but it said it was incorrect and it said the answer was C :')