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LiRa [457]
3 years ago
5

Vertex and axis of symmetry

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Answer:

Vertex = (-3, -1)

Axis of Symmetry: x = -3

Step-by-step explanation:

The vertex is (-3, -1), the axis of symmetry is x = -3. The x-intercept is -2 and -4, the y intercept is 8, the domain is R, the range is [-1, inf.]

The function is increasing in {-3, inf.} and decreasing in {-inf., 3}

You might be interested in
two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

7 0
3 years ago
a home building contractor bought 4 2/8 acres for $165,000. What was the cost of each acre? (round to nearest dollar.)
pychu [463]

Answer: $38,824

Step-by-step explanation:

Convert the mixed number 4\ \frac{2}{8} as a decimal number.

Divide the numerator by the denominator and add it to the whole number 4. Then:

4+0.25=4.25acres

Then, knowing that 4.25 acres cost $165,000 , divide this amount by 4.25 acres to find the cost of each acre.

Therefore, you get that the cost of each acre rounded to nearest dollar is:

cost=\frac{\$165,000}{4.25}\\cost=\$38,824

6 0
3 years ago
Read 2 more answers
Tell whether the ordered pair is a solution of the system of equations.
katovenus [111]

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5  => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1   => 4 x 2 - 1 = 1  => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)

8 0
3 years ago
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
LenaWriter [7]

Answer:

B and C

Step-by-step explanation:

7 0
3 years ago
HELP FOR 10 POINTS!!!
Kay [80]
20×8=160
5×8=40
10×8=80
4×8=32
15×8=120

160+40+80+120+32=432
432×2=864
864 is the answer,so your answer is b
6 0
3 years ago
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