MATHEMATICS HIGH SCHOOL

Which represents a quadratic function?f(x) = −8x3 − 16x2 − 4x

f (x) = x 2 + 2x − 5

f(x) = + 1

f(x) = 0x2 − 9x + 7

Answers

Answer 1
Answer: A quadratic function is one of the form f(x) = ax^2 + bx + c, where a, b, and c are numbers with a not equal to zero. In the given question, the only function that satisfies the condition of a quadratic function is f(x) = x^2 + 2x - 5 and thus is the correct answer to the question.
Answer 2
Answer:

Answer:

f (x) = 3/4 x ^2 + 2x − 5

Step-by-step explanation:

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What Is The Square Root of 9

PLS HeELP ASAP ILL GIVE BRAINLIEST TYVM PLS

Answers

The first one is Y= x+9 and the second one is y=x-2

What is the explicit formula

Answers

Answer:explicit formula is a formula we can use to find the nth term of a sequence. In the easiest definition, explicit means exact or definite. The formula is explicit because as long as it's applied correctly, the nth term can be determined

Step-by-step explanation:

Answer:

inkly dinkly

Step-by-step explanation:

moopsie poopsie

If 0.05x=20 then x=

Answers

0.05x=20
-------- -------
0.05 0.05

×=400
x=20/0.05
x=400
therefore x is going to be 400

Use the figure shown to complete each of the following questions.1. ∠QTR and ______ are complementary.
a. ∠QTS
b. ∠RTS
c. ∠PTN
d. ∠QT
2. ∠QTN and _____ are supplementary.
a. ∠QTS
b. ∠QTP
c. ∠RTS
d. ∠PTR
3. If ∠PTQ measures 29°, then PTN measures _____.
a. 51º
b. 45º
c. 61º
d. 71º
4. If ∠NTR measures 148°, then ∠RTS measures _____.
a. 12º
b. 32º
c. 22º
d. 42º
5. ∠PTN is adjacent to _____.
a. ∠QTR
b. ∠PTS
c. ∠RTS
d. ∠NTS

Answers

It's difficult to answer questions without picture of the figure. Anyway I've got it, so my answers are:
1. ∠QTR and RTS are complementary. 
2. ∠QTN and QTS are supplementary. 
3. If ∠PTQ measures 29°, then PTN measures 61. 
4. If ∠NTR measures 148°, then ∠RTS measures 148. 
5. ∠PTN is adjacent to PTS. 

Answer: 4. Is actually 32 degrees. I believe the answer listed was a typo.

Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x) = 4(25)^x

Answers

For this case we have the following function:

By power properties we can rewrite the function as follows:

We have then:

Then rewriting the function we have:

Answer:

an equivalent function to f (x) = 2 (5) ^ {2x} is:

f (x) = 2 (25) ^ x

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be

Answers

18 yards and 22 yards are the length of trapezoid.

What is Trapezoid?

Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides

Given,

shorter base to be 3 yards greater than the height

b₁=h+3

longer base to be 7 yards greater than the height.

b₂=h+7

Area of trapezoid=1/2(b₁+b₂)h

150=1/2(h+3+h+7)h

150=(2h+10)h/2

150=2h²+10h/2

150=2h²+5h

h²+5h-150=0

h²+15h-10h-150=0

h(h+15)-10(h+15)=0

(h-10)(h+15)=0

h=10 or h-15

h value should be positive.

So b₁=h+3=15+3=18

b₂=h+7=15+7=22

Hence the bases be 18 yards and 22 yards.

To learn more on Trapezoid click:

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From your information 
Let shorter base = h +3 and longer base = h + 7 where h is the height.
Formula for area of a trapezoid is A = (1)/(2) (b_1 +b_2)h
Substituting into the formula we get the following equation.
150= (1)/(2)(h+3+h+7)h
150 = (1)/(2) (2h+10)h
150=h^2+5h
This is a quadratic equation which I will solve by factoring.
h^2+5h-150 =0
(h-10)(h+15)=0
h-10= 0 ..... h=10 this is a useable answer (it's positive and length must be nonnegative)
h+15=0 .... h=-15 can't use this answer
so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards
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