f(a)=63.1 and the average rate of change of f over the interval from x=a to x=a+176 is 0.111. What is the value of f(a+176)?

Answer:

The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form: [tex]\mathbf{y=mx+b}[/tex]

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=0, x_2=5, y_2=-13[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}[/tex]

Finding y-intercept

We will use point(0,0) to find y-intercept

[tex]y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0[/tex]

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

[tex]y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x[/tex]

So, The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]

Option A is correct option.

The answer fam is.......... H= q/2 + m/2

Answer:

BC, DB, CD

Step-by-step explanation:

The side opposite the largest angle must be the largest side and the side opposite the smallest angle must be the shortest. 96 degrees is opposite CD and 30 degrees is opposite BC.

Note: You probabily forgot to mention the two function. While after some research, I was able to find two functions based on which I would like to solve your query.

Answer:

The y-intercept of the equation will be (0, 4).

Step-by-step explanation:

Considering the assuming functions f(x) and g(x).

[tex]f(x) = -3x - 5[/tex]

[tex]g(x) = f(x)+9[/tex]

So,

[tex]g(x) = (-3x-5)+9[/tex]     ∵ [tex]g(x) = f(x)+9[/tex]

[tex]g(x) = -3x+4[/tex]  

Now, finding the y-intercept

so putting x = 0 in function g(x)

[tex]g(x) = -3(0)+4[/tex]

[tex]g(x) = 0+4[/tex]

[tex]g(x) = 4[/tex]

Therefore, the y-intercept of the equation will be (0, 4).

Answer:

B

Step-by-step explanation:

Answer:

1/2+1/8=5/8

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/2, 1/8) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/2×4/4)+(1/8×1/1)=?

Complete the multiplication and the equation becomes

4/8+1/8=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+1/8=5/8

This fraction cannot be reduced.

Therefore:

1/2+1/8=5/8

Hope this helps!!

Answer:

1/2+1/8=5/8

Step-by-step explanation:

yes

There are a lot of questions here. I'll do problems 7 and 8 to get you started.

====================================================

Problem 7

The given equations are

y = x^2 + 5x - 2

y = 3x - 2

Since both right hand sides are equal to y, we can equate them, get everything to one side, and solve

x^2 + 5x - 2 = 3x - 2

x^2 + 5x - 2 - 3x + 2 = 0

x^2 + 2x = 0

x(x + 2) = 0

x = 0 or x + 2 = 0 ........ zero product property

x = 0 or x = -2

Now plug each x value back into one of the original equations given

If x = 0, then

y = 3x-2

y = 3*0-2

y = -2

Making (0,-2) as one solution. Repeat for the x value x = -2

y = 3x-2

y = 3(-2)-2

y = -8

The point (-2, -8) is the other solution to the system.

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

Answer: There are two solutions and they are (0, -2) and (-2, -8)

====================================================

Problem 8

y = -x^2 - 3x + 2

y = x + 6

We'll use the same idea as before

y = -x^2 - 3x + 2

x + 6 = -x^2 - 3x + 2

x + 6 + x^2 + 3x - 2 = 0

x^2 + 4x + 4 = 0

Now factor the left side to solve for x

(x+2)(x+2) = 0

(x+2)^2 = 0

x+2 = 0

x = -2

Use this x value to find y

y = x+6

y = -2+6

y = 4

Or we can cay

y = -x^2 - 3x + 2

y = -(-2)^2 - 3(-2) + 2

y = 4

We get the same y value either way.

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

Answer: There is one solution and it is (-2, 4)

Answer:

Increase by 10% of students that bought lunch.

Step-by-step explanation:

I think the percent change was by 10%. Because 10% of those students who packed lunched on Monday did not pack lunch on Tuesday, and assuming that they either buy or pack it that means that 10% more students bought lunch.

Answer:

3 cups

Step-by-step explanation:

Answer:

1.  3x5/6= 15/6 or 2 1/2

2. 7/8x11/3= 77/24 (Not listed)

3. 3x1/9= 3/9 or 1/3

4. 3/10x10/21= 1/7

Step-by-step explanation:

You have to multiply the numbers like simple multiplication and then try to simplify as much as possible in the process.

Hope this helps:)!!

Answer:

Yes the answer is 5sqrt(2)

Step-by-step explanation:

Since area is 25 we know side of square is 5. Thus the diagonal is 5sqrt(2)

Answer:

The smaller number is 5.

The bigger number is 15.

Step-by-step explanation:

Let the smaller number be x and the bigger number be x+10.

x+x+10 = 4x

2x+10 = 4x

10 = 4x-2x

2x = 10

x = 10÷2

  = 5

x+10 = 5+10

       = 15

Answer: See explanation

Step-by-step explanation:

You didn't give the expressions but here are some expressions

a. ✓4x²y^4. 1. 2x✓y

b. ✓8x²y. 2. 2y✓2x

c. ✓4x²y. 3. 2xy²

d. ✓16xy². 4. 2x✓2y

e. ✓8xy². 5. 4y✓x

a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4

= 2 × x × y²

= 2xy²

Therefore, ✓4x²y^4 = 2xy²

b. ✓8x²y = ✓8 × ✓x² × ✓y

= ✓4 × ✓2 × ✓x² × ✓y

= 2 × ✓2 × x × ✓y

= 2x✓2y

Therefore, ✓8x²y = 2x✓2y

c. ✓4x²y = ✓4 × ✓x² × ✓y

= 2 × x × ✓y

= 2x✓y

Therefore, ✓4x²y = 2x✓y

d. ✓16xy² = ✓16 × ✓x × ✓y²

= 4 × ✓x × y

= 4y✓x

Therefore, ✓16xy² = 4y✓x

e. ✓8xy² = ✓8 × ✓x × ✓y²

= ✓4 × ✓2 × ✓x × ✓y²

= 2 × ✓2 × ✓x × y

= 2y✓2x

Therefore, ✓8xy² = 2y✓2x

Answer:

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

you use 35x sin(60) because 35 is the hypotenuse and the angle is 60 degrees

Answer:

[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]

Step-by-step explanation:

Equation in slope-intercept form is given as [tex] y = mx + b [/tex]

An equation parallel to [tex] y = \frac{1}{2}x + \frac{5}{2} [/tex] would have the same slope as the equation.

The slope (m) of the line would be ½.

m = ½.

Given that this same line runs through or contains (³/2, 1), we cam find the value of b (y-intercept) by substituting m = ½, x = ³/2, and y = 1 in [tex] y = mx + b [/tex].

Thus:

[tex] 1 = (\frac{1}{2})(\frac{3}{2}) + b [/tex]

[tex] 1 = \frac{3}{4} + b [/tex]

Subtract both sides by ¾

[tex] 1 - \frac{3}{4} = b [/tex]

[tex] \frac{1}{4} = b [/tex]

To derive the equation, substitute m = ½, and b = ¼ in [tex] y = mx + b [/tex].

✔️The equation is:

[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]

Answer:

14/5 or

2.8 or

2 4/5

Step-by-step explanation:

Math

Answer:

2.8 or 14/5

keep change change

2×7=14

5×1=5

Step-by-step explanation:

Answer:

A) congruent triangles

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

-16/99

I believe this is correct, please mark brainliest! Have an amazing day and stay safe!

Answer:

it's [tex]\\\frac{4}{13} +\frac{7}{13}i[/tex]

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

at we both use canvas let's gooo

Step-by-step explanation:

we are the best bro keep up the good content btw

Answer:

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.

Answer:

23 decries up wards then move it down twice :)

Step-by-step explanation:

Answer:

23 decries up wards then move it down twice

Step-by-step explanation:

Give the person before me brainliest they got it first :)

Answer:

You need to change 7 and 12 in your division equation.

Like this

[tex]12\sqrt{7}[/tex]

Then once you do this then you should get an answer of .5833

Answer:

La probabilidad de que el estudiante entre, es 0.7

Entonces la probabilidad de que el estudiante no entre, es 1 - 0.7 = 0.3.

Ahora, si de 5 estudiantes, 3 entran y 2 no, entonces la probabilidad para un dado arreglo es: 0.7 tres veces, y 0.3 dos veces.

Y la probabilidad conjunta es igual al producto de las probabilidades individuales.

P = (0.7^3)(0.3^2)

Pero esto es para un arreglo, tenemos que tener en cuenta las permutaciones.

Sabemos que para M elementos, el numero de diferentes arreglos de N elementos (tal que N ≤ M) es:

[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]

En este caso, tenemos que M = 5 y N = 3, entonces tenemos:

[tex]C(5, 3) = \frac{5!}{2!*3!} = 5*4/2 = 10[/tex]

Entonces la probabilidad va a ser:

P = 10* (0.7^3)(0.3^2) = 0.3087

Answer:

$330

Step-by-step explanation:

[tex]\frac{24}{198} =\frac{40}{x}[/tex]

Cross multiply:

24x= 198(40)

to get x=330

Answer: Ratio 4:9 is also 49 . This ratio is in reduced form (no whole can be divided into both evenly).

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 9/4= 9/4 ÷ 2=?

2. 9/4 ÷2= 1.125

3. 1.125= 9/8 = 9:8