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zhuklara [117]
3 years ago
11

F(x)=-x^2-9x find f(-2)

Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

14

Step-by-step explanation:

put -2 where x is

f(x)=-x^2-9x

f(-2)= -(-2)^2 -9(-2)

f(-2)= -4 + 18

f(-2)= 14

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The standard form of the equation for a quadratic function is, with he vertex of the graph of the function at the point (p,q). t
ludmilkaskok [199]

Answer:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Step-by-step explanation:

y = a (x − x₁) (x − x₂)

Expand:

y = a (x² − x₁x − x₂x + x₁x₂)

y = a (x² − (x₁ + x₂)x + x₁x₂)

Distribute a to the first two terms:

y = a (x² − (x₁ + x₂)x) + ax₁x₂

Complete the square:

y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²

y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)

Therefore:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

3 0
3 years ago
Set up a proportion and solve the height of the three .
Naddik [55]

Answer:

60 feet

Step-by-step explanation:

Setting the proportion up:

x/25=24/10

Cross Multiply.

10x=24*25

10x=600

Divide both sides by 10.

x=60

7 0
3 years ago
Read 2 more answers
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
Mamont248 [21]
The scale factor is 3
7 0
1 year ago
If t(n) = 15 - 2.5n, how do I find t1,t2,t3,and tn+1? I also have to express tn+1-tn in its simplest form.
Anvisha [2.4K]

Answer:

Just substitute, and the simplified form is 1

Step-by-step explanation:

Substitute the values needed into the original equation. For example, if n=1

t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.

tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.

8 0
2 years ago
Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?
Brrunno [24]

Answer:

\angle{EBC}=35\textdegree

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

5 0
2 years ago
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