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3 years ago

7

Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4

) (1,3) (−6,6) (−13,10) (0,2)

1 answer:

svp [43]3 years ago

5 0

The correct answers are (-3, 4) (-6, 6) (0, 2)

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I am lost on "Graph y< -3|x-1| please help!

Sindrei [870]

1) |x| is the absolute value function. Its vertex is at (0,0).

2) |x-1| has the same graph as does y = |x|, except that the vertex is shifted 1 unit to the left.

3) -3|x-1| has the same graph as the previous result, except that we must reflect the previous graph in the x-axis.

4) Replace the solid lines you used in this graph with dashed ones.

5) Shade the area beneath y = -3|x-1|

In summary:

the desired graph is the shaded area below the inverted v-shaped graph of

y = -3|x-1|. Its vertex is at (-1,0).

6 0

4 years ago

Match the symbol to the meaning f(x) \rightarrow -\infty Answer 1 x \rightarrow a^- Answer 2 x \rightarrow -\infty Answer 3 x \r

Helen [10]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the key terms

$\begin{gathered} f(x)\Rightarrow o\text{utput} \\ \rightarrow\Rightarrow approaches \\ a\Rightarrow a \\ \infty\Rightarrow\text{ infinity} \\ -\infty\Rightarrow\text{negative infinity} \end{gathered}$

STEP 2: Match the symbol to the meaning

Hence, the correct meaning matching will be:

$\begin{gathered} f(x)\rightarrow-\infty\Rightarrow\text{the output approaches negative infinity} \\ x\rightarrow a^-_{}\Rightarrow x\text{ approaches a from the }left \\ x\rightarrow-\infty\Rightarrow x\text{ approaches negative infinity} \\ x\rightarrow a^+\Rightarrow x\text{ approaches a from the right} \\ x\rightarrow\infty\Rightarrow x\text{ approaches infinity} \\ f(x)\rightarrow a\Rightarrow the\text{ output approaches a} \\ f(x)\rightarrow\infty\Rightarrow the\text{ output approaches infinity} \end{gathered}$

4 0

1 year ago

X+2y=5 and 4x-12y=-20 solve using elimination and substitution

mixer [17]

Answer:

(1,2)

Step-by-step explanation:

Substitution:

x + 2y = 5 Solve for x

x = -2y + 5 Substitute -2y + 5 in for x in the second equation

4x - 12y = -20

4(-2y + 5) - 12y = -20 Distribute the 4

-8y + 20 - 12 y = -20 Combine the y term

-20y + 20 = -20 Subtract 20 from both sides

-20y = -40 Divide both sides by -20

y = 2

Plug y into either of the 2 original equations to get x.

x + 2y = 5

x + 2(2) = 5

x + 4 = 5

x = 1

The answer is (2,1).

Elimination:

x + 2y = 5 4x - 12y = -20. We want to eliminate with the x or the y. I am going to eliminate the x's that means that I have to multiply the first equation all the way through by -4

(-4)(x + 2y) = (5) (-4) That makes the equivalent expression

-4x - 8y = -20 I will add that to 4x - 12y = -20

<u>4x - 12y = -20</u>

0x -20y = -40

-20y = -40

y = 2. Plug 2 into either the 2 original equation to find x. This time I will select the second original equation to find x.

4x -12y = -20

4x - 12(2) = -20

4x - 24 = -20

4x = 4

x = 1

5 0

2 years ago

What is the answer to this equation

julia-pushkina [17]

Answer:

$x = - \frac{494}{3}$ $= - 164\frac{2}{3}$

Step-by-step explanation:

$75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}$

6 0

3 years ago

When dividing fractions, the divisor must be inverted then multiplied with the other fraction?

Lana71 [14]

Yes. That statement is true.

For example in : (1/2) divided by (3/4), you would invert 3/4 to make 4/3 and change the divide symbol to the multiply symbol. Becoming:

(1/2) multiplied by (4/3)<em> = </em><em>(1/2) divided by (3/4) = 0.66r</em>

5 0

3 years ago