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3 years ago

Solve.

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

$8x+4 \leq -20 \\ 8x+4-4 \leq (-20)-4 \\ 8x \leq -24 \\ \frac{8x}{8} \leq \frac{-24}{8} \\ \\ x \leq -3 \\ A$

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What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and

Arlecino [84]

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

$(y-k)^2=4p(x-h)$ and h and k are the coordinates of the vertex. Filling in:

$(y+4)^2=4(4)(x+2)$ which simplifies to

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3 years ago

Rewrite the fraction as a decimal 13/11 = Round to the nearest hundredth.

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Answer:

1.18

Step-by-step explanation:

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3 years ago

5x-6=10-3x solve for x

hodyreva [135]

Answer:

x = 2

Step-by-step explanation:

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4 years ago

Read 2 more answers

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay

r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) P=12n-275

B) 124

C) Decrease by $100

Step-by-step explanation:

A) P=12n-275  - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) 1,213=12n-275 - Plug in the value for P ($1,213).

1,488=12n - Add $275 to both sides.

124=n - Divide both sides by $12.

n=124  - This the number (n) of people that attended.

C) P=12n-375 - Change the value for expense to $375.

P=12(124)-375 - Plug in the value for n (124).

P=1488-375 - Simplify and find the difference.

P=1,113 - This is your profit.

1,113-1,213=-100  - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

6 0

3 years ago

Find the y and the x intercepts of the graph of the equation of y=3x+1

BaLLatris [955]

Answer:

x-intercept ⇨ -1/3

y-intercept ⇨ 1

Step-by-step explanation:

⟺ Finding the x-intercept, substitute y = 0

$y=3x+1\\0=3x+1\\3x+1=0\\$

Move 1 to subtract the another side.

$3x=-1$

Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.

$x=-\frac{1}{3}$ #

⟺ Finding the y-intercept, substitute x = 0

$y=3x+1\\y=3(0)+1\\y=0+1$

$y=1$ #

Tips:

Here's the tips about finding the intercepts of the graph.

⟺ For x-intercept, It's like solving an equation to find the x-term.

⟺ For y-intercept, It's like using the constant to answer.

As for y = mx+b where m = slope and b = y-intercept.

For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.

7 0

3 years ago