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yanalaym [24]
3 years ago
8

Use properties to evaluate the expression below.

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0
D. 9/5 hope this helped
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What is the vertex of the function f(x) = x2 + 12x?
Sophie [7]
We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x   =   (-12 + 0) / 2   =   -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6)   =   36 - 72   =   -36

Therefore vertex is (-6, -36).
7 0
3 years ago
A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?
Elodia [21]

Answer: 26%

Step-by-step explanation:

The formula to calculate the percentage markup is given as:

= Selling price - Cost / Cost price × 100

where selling price = $15750

Cost price = $12500

Percentage markup = ($15750 - $12500) / $12500 × 100

= $3250/$12500 × 100

= 26%

4 0
3 years ago
Read 2 more answers
Find the value of the expression 0.5^10/0.5^7
SIZIF [17.4K]

Answer:

The solution is:

  • \frac{0.5^{10}}{0.5^7}=0.125

Step-by-step explanation:

Given the expression

0.5^{10}\div 0.5^7

Solving

\frac{0.5^{10}}{0.5^7}

\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}

so

\frac{0.5^{10}}{0.5^7}=0.5^{10-7}

\mathrm{Subtract\:the\:numbers:}\:10-7=3

=0.5^3

=0.125        ∵ 0.5^3=0.125

Therefore, the solution is:

\frac{0.5^{10}}{0.5^7}=0.125

7 0
3 years ago
Can someone please help me with this math question
inn [45]

Answer:

1. reflection across x-axis

2. translation 6 units to the right and 3 units up (x+6,y+3)

Step-by-step explanation:

The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).

First transformation is the reflection across the x-axis with the rule

(x,y)→(x,-y)

so,

  • A(-5,2)→A'(-5,-2)
  • B(-3,4)→B'(-3,-4)
  • C(-2,4)→C'(-2,-4)
  • D(-1,2)→D'(-1,-2)

Second transformation is translation 6 units to the right and 3 units up with the rule

(x,y)→(x+6,y+3)

so,

  • A'(-5,-2)→E(1,1)
  • B'(-3,-4)→H(3,-1)
  • C'(-2,-4)→G(4,-1)
  • D'(-1,-2)→F(5,1)

7 0
3 years ago
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party
Tamiku [17]

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

3 0
2 years ago
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