Mathematics High School

A quadratic function is represented by the graph. (graph below.) (do a-d.)

(a) What is the equation of the axis of symmetry of the function?
(b) What are the coordinates of the vertex of the function?
(c) What are the coordinates of the x-intercepts of the function?
(d) What are the coordinates of the y-intercept of the function?

Answers

Answer 1

Answer:

The axis of symmetry is x=1

The vertex is (1,-9)

The x-intercepts are (4,0) and (-2,0)

The y-intercept is (0,-8)

Step-by-step explanation:

axis of symmetry is the line where the vertex is, so in the quadratic of x^2, the axis of symmetry would be zero because half of the equation is on one side and the other half on the other side

The vertex is the lowest point on the quadratic, on the y values

the x-intercepts are the places the graph intercepts the x-axis.

The y-intercepts are the places the graph intercepts the y-axis

ask if u still have any questions!

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I dont want to use the calc or use my brain bc im lazy. 3 (6) + 4 (2)^3 - 5

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Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.

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Answer: B

Step-by-step explanation:

) tan C
с
45
36
to
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Answer:

36. 1193 or 33.12 degrees rounded

Step-by-step explanation:

Tan = opp/adj

Tan C = 27/37

Tan inverse (.729 . . .) = C

= 36. 1193 or 33.12 degrees rounded

A triangle has sides with lengths of 7 miles, 7 miles, and 9 miles. Is it a right triangle yes or no

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Answer:

Step-by-step explanation:

Question 2 (25 points)
Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures are not drawn to scale.

Help me ASAP!!!!!!!! Plzzzz

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Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

Please help there is no word problem.
5 − a + 4a =

Answers

collect like terms
5-a+4a
=5+3a

John is buying a new computer for $550.00. He has a coupon to receive 15% off. How much, in dollars, is his discount?

Answers

Answer:

$82.50 is the discount.

Step-by-step explanation:

550 x .15 = $82.50

Hope that helps!

how long will it take you and 4 friends to paint the fence?

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Answer:

Check pdf

Step-by-step explanation:

A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the probability that it will land on yellow all 3 times?

Answers

Answer: 1/64

Step-by-step explanation:

1/4 to land on Yellow

We do it 3 times

1/4 x 1/4 x 1/4 = 1 /64 =0.015625

PLEASE HELPPPP ITS DUE IN 20 MINNNN

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Answer: 2cm is the radius and 10 cm is the diameter.

Answer:

2 is the radius and 10 is the diameter!

Step-by-step explanation:

Good luck buddy!

18. The perimeter of the given triangle is 36 cm.
Find the value of x.

Answers

Answer:

x = 7

Step-by-step explanation:

(x+2)+(3x-9)+(2x+1) = 36

6x - 6 = 36

6x = 42

x = 7

Please help me please omggg

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Answer:

Cube

Answer

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1. What is the first step
in solving equations?

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Answer:

Read and highlight the problem

Step-by-step explanation:

Answer:reading the problem and looking for key words to help you solve the answer

Step-by-step explanation:

A gym membership charges an initial
fee of $ 125 plus a $25 fee every
month. Another gym only charges $50
every month. After how many months
will the total cost for both gyms be the
same?

Answers

Answer:

the gym that has 150, will take 2 months and the gym that has 50 will take 6 months

first gym:

150

300

second gym:

100

150

200

250

300

5.
Which number is a rational number, but NOT a whole number or integer?
A.
-40
10
B.
-20
4
C.
20
10
D.
7
11

Answers

Answer:

Step-by-step explanation:

Its D because integers and whole numbers cannot be fractions, while a rational number can. A, B, C, and D can all be simplified into whole numbers while 7/11 cant

Graph the line with the equation y = -x + 7.

Answers

Put the first point at (0,7) then move left by 5 and up by 1, then one going right 5 and down 1 from the y intercept.

Find the area........

Answers

Answer:

6) 121.2 sq meters

7) 40 sq ft

8) 70 sq meters

Step-by-step explanation:

#6 and 7: base x height

#8: base x height / 2

Jason paid a $100 start-up fee for his
telephone. He also pays a monthly
service charge, X. Jason paid a total of
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equations below can be used to find the
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A 340 = 6 + 100x
B 340 = 100+ 6x
C 340 = 100 - 6x

Answers

Answer:

Step-by-step explanation:

Find the discriminant and determine the number of real roots for each equation. Show steps.

-9x^2 + x - 7 = 0

Answers

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

- 9x² + x - 7 = 0 ← is in standard form

with a = - 9, b = 1, c = - 7 , then

b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251

Since b² - 4ac < 0 then the equation has no real roots

Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined area A of the picture and the frame?

A. A(x)=x^2+20x+96
B. A(x)=x^2+40x+96
C. A(x)=4x^2+20x+96
D. A(x)=4x^2+40x+96

Answers

Answer:

Step-by-step explanation:

Total dimensions = (12+2x) inches by (8+2x) inches

A = (12+2x)(8+2x) = 4x² + 40x + 96

What number represents 50 meters below sea level

Answers

-50 meters would be the answer.

Find the measure for angle A.

A. 75
B. 60
C. 30
D. 38

Answers

180-90=90 (right angle is 90; all angles in triangle add to 180)
So the last two add up to 90
x+37+x+67=180 SPOE and CLT
-37 -67 -37
-67
2x=76
———-
2
X=38

∠A = 30°

180 = 90 + x + 37 + x + 67
180 = 194 + 2x
180 - 194 = 2x
-14 = 2x
-14/2 = 2x/2
-7 = x

substitute x for (-7)
∠A = x + 37
∠A = (-7) + 37
∠A = 30°

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Luke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?

A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds

Answers

Answer:

i think this is the answer

A. 40.5 secods

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Answer:

C. Rectangle that isn't a square

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67=9

Step-by-step explanation:

Answer:

-24/7

Step-by-step explanation:

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on Iready Question 7 angle sum properties Level H what is the answer

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Answer:

Step-by-step explanation:75

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b + b + h+ h, then b^2+h^2

Answer:

b + b + h + h and since you have two of each you can say 2b + 2h.

Order these triangle with equal sides from least to greatest the triangles are equilateral scalene and isosceles

Answers

Answer:

equilateral

isosceles

scalene

The triangles with equal sides from least to greatest

Equilateral, Isosceles, Scalene.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The reason for this order is that an equilateral triangle has all three sides equal in length, while an isosceles triangle has two sides equal in length and one side different.

A scalene triangle has all three sides of different lengths.

Since all three sides of an equilateral triangle are equal, it has the smallest perimeter of the three types of triangles.

The isosceles triangle has two sides equal, so its perimeter will be greater than that of an equilateral triangle, but less than that of a scalene triangle.

Finally, the scalene triangle has three sides of different lengths, so it will have the largest perimeter of the three types of triangles.

Thus,

The triangles with equal sides from least to greatest

Equilateral, Isosceles, Scalene.

Learn more about triangles here:

https://brainly.com/question/25950519

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