h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller r =
larger r =
2) What is the vertex of the parabola?

Answer:

Natural numbers , whole numbers, Integers

Given:

Chang ran three times last week. The distances he ran (in kilometers) are 4, 8.36, 18.9.

To find:

The total distance Chang ran on these three days.

Solution:

It is given that the distances he ran (in kilometers) are 4, 8.36, 18.9.

We need to add these three distances to get the total distance Chang ran on these three days.

[tex]4+8.36+18.9=31.26[/tex]

Therefore, the total distance Chang ran on these three days is 31.26 kilometers.

Answer:

140x+420

Step-by-step explanation:

7(x+3)20

=140x+420

Answer:

14x+420

Step-by-step explanation:

7(x+3)(20)

=140x+420

please see the photo down below it shows the work and answer

The Answer is gonna be B. 324 square centimeters

Explanation :

A=b x h

A=27 x 12

A=324

This is the Answer for your question :3

Answer:

C(g) = 10 + 15g

C'(g) = 80

The monthly charges of Company C for using 2 Gigabyte of data usage.

Step-by-step explanation:

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Now, the monthly cost in Company C for using g gigabyte of data will be  

C(g) = 10 + 15g ........ (1)

Again, the monthly cost in Company D for using g gigabyte of data will be  

C'(g) = 80 ......... (2)

Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage.

Answer:

2.

Step-by-step explanation:

The formula is ( f(b) - f(a) )/( b-a). a = 1. b = 2. You would input the answers into the formula. ( 1 - (-1) )/ 1 = 2. The AROC is 2

Answer:

D

Step-by-step explanation:

largest interquartile is the largest box

Answer:

D

Step-by-step explanation:

Not really much to explain, see picture below

Answer:

A) -33 is yr answer.

Answer:

A) [tex] - 33[/tex]

Step-by-step explanation:

[tex][{(−4+3) \times (4+2)−5} \times 3][/tex]

[tex]{[−1 \times (4+2)−5} \times 3][/tex]

[tex](−1 \times 6−5) \times 3[/tex]

[tex](−6−5) \times 3[/tex]

[tex]−11 \times 3[/tex]

[tex] - 33[/tex]

Answer:

[tex]perimeter = 2(l + w) \\ 60 = 2(3x + 1 + 5x - 3) \\ 30 = 8x - 2 \\ 8x = 32 \\ x = 4[/tex]

Answer:

17/12 or 1 5/12

Step-by-step explanation:

You need to make the denominators the same, the common denominator is 12. In the end, they become 9/12 and 8/12. ad those to you get 17/12 or 1 5/12. Was this helpful?

Answer:

=17/12

Step-by-step explanation:

Get a common denominator between the two fractions.

Common denominator will be 12

Multiple 2/3 by 4 (top and bottom) to get 8/12

Multiply 3/4 by 3 (top and bottom) to get  9/12

Add the numerators of both fractions (8+9=17)

final fraction is 17/12 (denominator stays the same)

Answer:

0.92

Step-by-step explanation:

Answer:

13 / 30

Step-by-step explanation:

The probability an be represented by the number of desirable outcomes over the total outcomes. We know the total is 30 since there are 30 students to be chose from. Now, we need to find the number of students who play basketball and baseball. We can add the two values we are given:

7 + 11 = 18 students

BUT.... we are over-counting the students who play both. We need to subtract those 5 students, since the are counted twice, and that way, they will only be counted once:

18 - 5 = 13 students

Using the formula for probability at the top, we get:

13 / 30

Answer:

B: 8

Step-by-step explanation:

The area of the two smaller squares equals the area of the big square so find the area to the big square

17 * 17 = 289

289 - 225 = 64

The square root of 64 is 8 so the answer is 8.

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

[tex]101^\circ =31^\circ +m\angle 1[/tex]

[tex]101^\circ -31^\circ =m\angle 1[/tex]

[tex]70^\circ =m\angle 1[/tex]

Therefore, the measure of angle 1 is 70 degrees.

Answer

13ft

Step-by-step explanation:

4ft.+2ft.+5ft=2ft.=13ft

Answer:

-24

Hope that this helps!

Answer:

Leading coefficient is the coefficient of the highest power of x.

[tex]x^5[/tex] is the highest power.

Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]

Option D

Answer:1/4

Step-by-step explanation:

Answer:

There are 150 blue marbles in Alex's bag.

Step-by-step explanation:

Let [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:

Initial ratio

[tex]\frac{x}{y} = \frac{6}{10}[/tex] (1)

[tex]\frac{y}{z} = \frac{10}{15}[/tex] (2)

Final ratio

[tex]\frac{x + 10}{z - 25} = \frac{1}{2}[/tex] (3)

After some algebraic handling we get the following system of linear equations:

[tex]x - \frac{3}{5}\cdot y = 0[/tex] (1)

[tex]y - \frac{2}{3}\cdot z = 0[/tex] (2)

[tex]2\cdot (x + 10) = z - 25[/tex]

[tex]2\cdot x +20 = z - 25[/tex]

[tex]2\cdot x - z = -45[/tex] (3)

The solution of the system of linear equations is:

[tex]x = 90[/tex], [tex]y = 150[/tex], [tex]z = 225[/tex]

There are 150 blue marbles in Alex's bag.

Answer:

1 and -1

Step-by-step explanation:

The correct answer is 1. The square root of a (real) number is always taken to be the non-negative square root (this allows the square root operation to be a function).

However, if the question is saying it isn't 1, then it wants you to answer 1 and -1, because both square to 1. A better way to word the question would be "For which values of x is x^2 equal to 1?"

Answer:

Step-by-step explanation:

980

Answer:

b = 4[tex]\sqrt{3}[/tex] , c = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{c}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

c = 8

Using Pythagoras' identity in the right triangle

b² + 4² = 8²

b² + 16 = 64 ( subtract 16 from both sides )

b² = 48 ( take the square root of both sides )

b = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = 4[tex]\sqrt{3}[/tex]

Answer:

OK THIS IS A BIGGY....c = 8

Step-by-step explanation:

First, find b.

using the pythagorean theorem, a² + b² = c²

to find b using an angle, do b = √(c² - a²)

then, b = a * tan(β)

(β is the angle 30°)

So, b = 6.928

Then, plug it into the pythagorean theorem

4² + 6.928² = c²

16 + 47.997184 = c²

63.997184 = c²

√63.997184 = √c

c = 7.99982399806

Rounded is 8 :)

Hope this helps! Please mark as brainliest :)