What is the gradient of the graph shown?
Give your answer in its simplest form.

The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).

Given the function in the question:

h(r) = r² + 11r - 26

To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.

Using factoring:

r² + 11r - 26 = 0

Find two numbers whose sum is 11 and whose product is -26.

The numbers are -2 and 13.

Factor the equation:

(r - 2)(r + 13) = 0

Hence:

r - 2 = 0  and r + 13 = 0

Therefore, smaller r = -13, larger r = 2.

Next, we determine the vertex of the function:

Using the formula for the x-coordinate of the vertex, which is given -b/2a.

Here, the coefficient of r² is 1 (a = 1),

The coefficient of r is 11 (b = 11).

Substituting these values into the formula, we get:

r = -b/2a

= -11/( 2×1 )

= -11/2

The x-coordinate of the vertex is -11/2.

To find the y-coordinate, we can substitute r = -11/2 value back into the function:

h(r) = r² + 11r - 26

h(-11/2) = (-11/2)² + 11(-11/2) - 26

= 121/4 - 121/2 - 26

= 121/4 - 242/4 - 104/4

= (121 - 242 - 104)/4

= -225/4

Therefore, the vertex is (-11/2, -225/4).

Learn more about quadratic equations here:https://brainly.com/question/4038687

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Answer:

D

Step-by-step explanation:

We can go through each answer to see if it's right

A

In a right triangle, with c opposite the right angle, we know that

a²+b² = c²

The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect

B

The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of

a²+b² = c² and this is incorrect

C

The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0

D

The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct

Answer:

-4/5

Step-by-step explanation:

Answer: A. -4/5

Step-by-step explanation:

Slope Formula: y2 - y1 / x2 - x1

-7 - (-3) = -4

9 - 4 = 5

slope = -4/5

Correct me if I am incorrect.

Answer:

Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.

Answer:

There should be 20 students that have both Beats and AirPods.

Step-by-step explanation:

There are 50 students in total.

20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.

30 - 10 = 20.

It's a tricky question, but this is the correct answer!

Hope This Helps!

Answer:

$348.75

Step-by-step explanation:

$465 * 25%= 116.25

465-116.25 = $348.75

The answer is A

ok done. Thank to me :>

According to the confidence interval given, the non-equivalent expression is:

A. [tex]161.7 \pm 13.9[/tex]

The interval given is:

[tex]161.7 \leq \mu \leq 189.5[/tex]

Which can also be written as: (161.7.189.5)

The point estimate is the halfway point of the interval, hence:

[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]

The margin of error is half the difference of the bounds, hence:

[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]

According to the point estimate and to the margin of error, the interval can also be written as:

[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]

[tex]175.6 \pm 13.9[/tex]

Hence, the only expression which is non-equivalent is:

A. [tex]161.7 \pm 13.9[/tex]

You can learn more about confidence intervals at https://brainly.com/question/25779324

Answer:

[tex]\frac{4\sqrt{3} }3}[/tex]

Step-by-step explanation:

Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]

Answer:

Either (c) or (a), (B also looks like a good answer, but I'd go for c)

Step-by-step explanation:

If I'm inincorrect, I apologize!

Answer:

The man's son height is 1.5m

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]

[tex]\frac{21x1.8}{25.2}[/tex]

21x1.8= 37.8

37.8 ÷ 25.2= 1.5

Hope this helps

sorry if i got it wrong

Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

Bill was for $28.35.  A 20% tip would come to $5.67.  If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)

                                                 = $35.79 (total)

please give brainlist

Answer:

this is a tough one but i know that sometimes it may seem hard but, with the right amount of practice, the hardest equations become the easiest to overcome. (Hint: Use PEMDAS)

Step-by-step explanation:

hope this helps you!

Answer:

I cant answer it i just need to talk to you its mya......

Step-by-step explanation:

Answer:

The dance team raised 170$ during the first fundraiser

Step-by-step explanation:

to find how much the first fundraiser earned let's make an equation and make the first fundraiser the variable x

The equation would be:

x+450=620

so we would take away 450 from both sides

x+450-450=620-450

which would make the equation

x=170

meaning that the first fundraiser raised 170$

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

Answer:

the second option.

a policy that pays to get your vehicle replaced or repaired incase of an accident.

Step-by-step explanation:

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120

Answer:

60 inches

Step-by-step explanation:

26^2+54^2 = 3592

[sqrt]3592 = 59.9 --> 60inches

Answer:

x+3/5=2

or,x+0.6=2

or,x=2-0.6

x=1.4

Answer:

10[tex]sin^{2} ([/tex]β[tex])[/tex]

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10[tex]sin^{2} ([/tex]β[tex])[/tex] on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10[tex]sin^{2} ([/tex]β[tex])[/tex].

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10[tex]sin^{2} ([/tex]β[tex])[/tex] cos(β)

But since cos(β) is already present, we can see that the answer is 10[tex]sin^{2} ([/tex]β[tex])[/tex]

Answer: The answer is 180°.

Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

Answer:

give the dimensions of the figure on the paper

Answer: 37.68 inches

A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)

So, 2πr = 2 * 3.14 * 6

2πr = 37.68 inches