The graph shows the height (h), in feet, of a basketball t seconds after it is shot.
Projectile motion formula: h(t) = -16t^2 + vt + h0

v = initial vertical velocity of the ball in feet per second
h0 = initial height of the ball in feet

Complete the quadratic equation that models the situation.
h(t) = –16t^2 + _t + 6

Answer:

[tex]y=-52x+480[/tex]

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The event into consideration is the number of pages of a book left to read by Shyryia.

We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substituting the given points:

[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]

[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]

Operating:

[tex]y-402=-52(x-1.5)[/tex]

[tex]\mathbf{y=-52x+480}[/tex]

Answer:

-52x+480.

Step-by-step explanation:

I took the test, definitely correct

pretty sure its A.

Brainliest?... thx

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

Answer:

t=1.625

Step-by-step explanation:

13=8t

divide both sides by 8

t=1.625

Answer:

a

Step-by-step explanation:

Answer: 0<a<1

Step-by-step explanation:

Answer:

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

Step-by-step explanation:

hope this helps!

Answer: -absolute value inequalities work two ways, not 1

-if it's greater than anything less than 0, then the solution is all real numbers

- if it's less than zero, there is no solution

-dividing by -1 flips the sign

Step-by-step explanation:

These are just some of the rules that I know

Answer:

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Given that:

Cost of 12 inch cheese pizza = $8

Each additional inch cost $2.50

Each additional topping cost $1.25

The cost equation :

Let x = additional topping ; y = diameter of pizza, cost of pizza = C

C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

the answer is supposed to be 132 at the most of a

for b it is 165

Answer:

a=132

b=165

Step-by-step explanation:

,

Answer:

B) (0,1)

Step-by-step explanation:

The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.

Hope this helps!

Answer:

8 years

Step-by-step explanation:

With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest

Take the Total Interest $3360/$420= 8 Years

Answer:

t=15d

Step-by-step explanation:

The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.

We can plug in one mile to verify this answer.

t=15(1)

t=15

Hope this helped!

Answer:

0, 5x

Step-by-step explanation:

0 in the first box

5x in the second box

Answer:

1 obtuse

2 acute and

3 acute and

4 obtuse  

Step-by-step explanation:

Answer:

the first one is A the second one D the third one B

Step-by-step explanation:

hope this will help you

Answer:

Which fraction is equal to 0.7?

C.) 7/10

Which fraction is equal to 0.54?

A.) 27/50

How can the decimal 0.57 be written as a fraction?

B.) 57/100

Step-by-step explanation:

Answer:

D) 3:10

Step-by-step explanation:

Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.

Answer:

it si this

Step-by-step explanation:

Simplifying

4y + -10 = 5 + -1y

Reorder the terms:

-10 + 4y = 5 + -1y

Solving

-10 + 4y = 5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.

-10 + 4y + y = 5 + -1y + y

Combine like terms: 4y + y = 5y

-10 + 5y = 5 + -1y + y

Combine like terms: -1y + y = 0

-10 + 5y = 5 + 0

-10 + 5y = 5

Add '10' to each side of the equation.

-10 + 10 + 5y = 5 + 10

Combine like terms: -10 + 10 = 0

0 + 5y = 5 + 10

5y = 5 + 10

Combine like terms: 5 + 10 = 15

5y = 15

Divide each side by '5'.

y = 3

Simplifying

y = 3

Answer: A.

Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly

I got this right so don't let anyone tell you different  

Answer:

Step-by-step explanation:

x           y           Difference [tex](y_2-y_1)[/tex]

1          15                      -

2         25              25 - 15 = 10

3         35              35 - 25 = 10

4         45              45 - 35 = 10

There is a common difference of 10 in each successive term of y.

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here 'm' = slope of the line

b = y-intercept

Since, two points (1, 15) and (2, 25) lie on the graph of the function,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{25-15}{2-1}[/tex]

                        m = 10

Equation of the line will be,

y = 10x + b

For the value of 'b' (y-intercept),

Since, (1, 15) lies on the graph of the linear function,

15 = 10(1) + b

b = 15 - 10

b = 5

Equation of the line on the graph will be,

y = 10x + 5

Now we can determine the output value of the function with the input values, x = 5, 6 and 7

[tex]y_1[/tex] = 10(5) + 5 = 55

[tex]y_2[/tex] = 10(6) + 5 = 65

[tex]y_3[/tex] = 10(7) + 5 = 75

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Answer:

132

Step-by-step explanation:

area of square =4l

= 4× 11

=44

total length =44×3

=132m

Answer:

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation:

Given table is:

Input (x) Output (y)

−2 7

−5 4

−8 1

−11 −2

It can clearly be observed that the values for x and y are changing with the same rate.

In case of x, -3 is added to the previous input to get the next input.

Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.

Hence,

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation:

2.

(2 + √3)(2 - √3)

3.

(6 + √5)/(6 - √5)

Answer:

Point of intersection is (6,0)

Step-by-step explanation:

The answer is -2q

hope this helps <3

Answer:

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Step-by-step explanation:

[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]

First rule I'm going to use is the quotient rule:

[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]

[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]

Secondly, I'm going to rewrite the radical.

[tex]\sqrt{x}=x^\frac{1}{2}[/tex]

[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]

Third, I'm going to use the product rule on the first term:

[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]

[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]

Fourth, I'm going to use power rule for both of the last two terms:

[tex]\log_b(m^r)=r\log_b(m)[/tex]

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Answer:

C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )

Step-by-step explanation:

I got it right on the test :3 UNUS ANNUS

Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.

Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.

We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.

Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]

Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].

So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].

Hence option (3) is correct.

Learn more about Polynomial here -

https://brainly.com/question/1600696

#SPJ2

Answer:

2

Step-by-step explanation:

-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.

Answer:

[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]

Step-by-step explanation:

Let x , x+2 and x+4 be the consecutive numbers

Given Condition:

x + x + 2 + x + 4 = 45

3x + 6 = 45

Subtract 6 to both sides

3x = 45 - 6

3x = 39

Dividing both sides by 3

x = 13

So,

The numbers are:

x = 13

x + 2 = 13 + 2 = 15

x + 4 = 13 + 4 = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

let the number be n

n+n+2+n+4 =45

3n+6=45

3n+6+6=45-6

        3n/3=39/3

             n=13

n=13

n+2=13+2

      =15

n+4=13+4

     =17

13,15,17

Step-by-step explanation:

pliz mark brainliest