which equivalent form of g(x)=2x^2-12x-54 is the best form to find the zeros of the function?
a) g(x)=2(x-3)^2-72
b) g(x)=2(x^2-6x-27)
c) g(x)=2(x-9)(x-3)
d) g(x)=2x^2-18x+6x-54

Answer:

C

Step-by-step explanation:

5 is rational

1/4 is rational

the product of the two is 5/4 which is also rational

Answer: 50

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

First, we need to get the left side equal to zero. Take away 25 from each side to get [tex]4x^2+12x-16 = 0[/tex].

We can use the quadratic equation of [tex]\frac{-b+ -\sqrt{b^2-4ac} }{2a}[/tex] to find the solutions.

Plug them in to get [tex]\frac{-12+-\sqrt{144 -(-256)} }{8}[/tex].

Simplify.

[tex]\frac{-12+-\sqrt{400} }{8}[/tex]

[tex]\frac{-12+-20}{8}[/tex]

[tex]\frac{8}{8}[/tex] or [tex]\frac{-32}{8}[/tex]

1 and -4

x = 1 and -4

Answer:

A. 36cm

Step-by-step explanation:

When measuring it with a ruler, you will get six of the top rectangle

6 x 6 = 36

Look at the exponent and move the decimal that many places ( to the right for a positive number and to the left for a negative number)

Answer:

6m + 18 ≥ 42

Step-by-step explanation:

6m + 18 ≥ 42

------

No of miles per day=m

Total days=6

Target=42

Finished=18

Inequality

Answer:

The statements that complete the proofs are;

First statement

One half the measure of their intercepted arcs

Second statement

mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE

Step-by-step explanation:

The two column proof that ∠CFE and ∠CDE are supplementary is presented as follows;

Statement  [tex]{}[/tex]                                                            Reason

Quadrilateral CDEF is inscribed is circle A  [tex]{}[/tex]       Given

[tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex] = 360°  [tex]{}[/tex]                                 Measure of angle round a circle

∠CFE and ∠CDE are inscribed angles   [tex]{}[/tex]             Given

∠CFE  + ∠CDE = 1/2 × ([tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex])  [tex]{}[/tex]   Inscribed angles are (i) one half the measure of their intercepted arcs

2 × (∠CFE  + ∠CDE) = ([tex]m\widehat{CDE}[/tex] + [tex]m\widehat{CFE}[/tex])

So, (ii) [tex]m\widehat{CDE}[/tex] = 2 × m∠CFE and [tex]m\widehat{CFE}[/tex] = 2 × m∠CDE From the inscribed angle theorem above (See attached drawing)

2·m∠CFE + 2·m∠CDE = 360°  [tex]{}[/tex]    Using substitution property of equality

(2·m∠CFE + 2·m∠CDE)/2 = 360°/2 → m∠CFE + m∠CDE) = 180° [tex]{}[/tex]                Dividing both sides by 2

m∠CFE and m∠CDE) are supplementary  [tex]{}[/tex]  Angles that sum up to 180°

The statements that complete the proofs are;

(i) One half the measure of their intercepted arcs

(ii) mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE

Answer:

1/2 the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE (or C).

Step-by-step explanation:

I just took the test and got this right :)

Answer:

2 5/7

Step-by-step explanation:

Difference in length = length of blue line - length of red line

[tex]6\frac{2}{7} - 3\frac{4}{7}[/tex]

[tex]3\frac{2-4}{7}[/tex]

Subtract 1 from the whole number and add it to 2, when 1 is added to 2 it becomes (7 + 2) = 9

= 2 5/7

Answer:

14 cm

Step-by-step explanation:

Answer:

1. True

2. False

3. True

4. False

5. True

6. False

7. True

8. True

9. True

10. True

Explanation:

Got the answers following triangle classification rules.

Answer:

1) True

2) False

3) True

4) True

5) False

6) False

7) False

8) True

9) True

10) True

These are the answers i guess............

Step-by-step explanation:

Answer:

y=2x+5

Step-by-step explanation:

Answer:

Domain is (-∞, ∞)

Step-by-step explanation:

Given function is [tex]\sqrt[3]{5x+25}[/tex]

Please remember, for any cube root function the domain is all real numbers, because the cube root of any real number is a real number.

So, domain is all real numbers.

We can write it in interval notation as (-∞,∞).

Answer:

x = 2

Step-by-step explanation:

x = 2 im to azy to put the steps sorry

Answer:

39

Step-by-step explanation:

TYagVvHhisjssbahuauaahaah

Answer:

Before you get started, take this readiness quiz.

Write as an inequality: x is at least 30.

If you missed this problem, review (Figure).

Solve 8-3y<41.

If you missed this problem, review

Answer:

(D) r=−0.92. The linear relationship between lawn size and gas remaining is strong and negative.

Step-by-step explanation:

Answer:

A. 0.13.

B. 0.15.

Step-by-step explanation:

For the first problem, subtract 0.87 from 1. You get 0.13.

For the second problem, add up 0.3 and 0.55 to get 0.85. Subtract this from 1 to get 0.15.

Hope this helps :)

Answer:

-1 -3

Step-by-step explanation:

Answer:

y=-2

Step-by-step explanation:

because it's parallel --> a=-2

therefore we have y=-2x+b

the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0

Answer:

34

Step-by-step explanation:

See Image Below:)

Answer:

I think A is the right answer

Answer its c hope this helps

Answer:

J. 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−(m+4)=2

Step 1: Simplify both sides of the equation.

5m−(m+4)=2

5m+−1(m+4)=2(Distribute the Negative Sign)

5m+−1m+(−1)(4)=2

5m+−m+−4=2

(5m+−m)+(−4)=2(Combine Like Terms)

4m+−4=2

4m−4=2

Answer:

y = 2 that sign means equal to so its literally another way to write =

so to graph this inequality you graph 2 on the y axis thats it

Step-by-step explanation:

Answer:

9 g/cm³

Step-by-step explanation:

density = mass/volume

d = 81/9

d = 9 g/cm³