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alexandr1967 [171]

3 years ago

10

Simplify the following algebraic expressions. -6x + 5 + 12x -6

1 answer:

salantis [7]3 years ago

3 0

The answer is 6x-1.

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find the equation of the line using the point slope formula. write the final equation using the slope intercept for thr x-interc

aleksley [76]

we know the x-intercept of the line is 1, recall that an x-intercept is when the graph intercepts or touches the x-axis, and when that happens, y = 0, so the point is really x = 1, y = 0, namely (1,0). We also know another point on the line, is (-2, 9).

$\bf \stackrel{x-intercept}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-0}{-2-1}\implies \cfrac{9}{-3}\implies -3 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-3(x-1) \\\\\\ ~\hspace{10em}y=-3x+3$

5 0

2 years ago

An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree an

ch4aika [34]

9514 1404 393

Answer:

50 ft

Step-by-step explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

x = 2(25 ft)

x = 50 ft . . . . . distance a person travels

7 0

2 years ago

What is the quotient of 6/7 divided by 3/14

bija089 [108]

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14 (we cancelled 3 with 6)

= 2×2 (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

HELP ME!! im so stumped. will give brainliest!

Olegator [25]

Answer:

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

$y=a\left(x-h\right)^2+k$

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

$y=a\left(x-1\right)^2-9$ ...(i)

Plug given point (0, -6). into (i)

$-6=a\left(0-1\right)^2-9$

$-6=a\left(-1\right)^2-9$

$-6=a\left(1\right)-9$

$-6+9=a$

$3=a$

Plug a=3 into (i)

$y=3\left(x-1\right)^2-9$

Now to find x-intercept, we just plug y=0 and solve for x

$y=3\left(x-1\right)^2-9$

$0=3\left(x-1\right)^2-9$

$9=3\left(x-1\right)^2$

$3=\left(x-1\right)^2$

$\pm \sqrt{3}=x-1$

$1+\pm \sqrt{3}=x$

Hence final answer are

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

4 0

2 years ago

horace is a professional hair stylist. let ccc represent the number of child haircuts and aaa represent the number of adult hair

Novay_Z [31]

He can give at most 2 adult haircuts with the remaining time

<h3>How many adult haircuts at most can he give with the remaining time? </h3>

The inequality is given as:

0.75C + 1.25A <= 7

Also, we have

C = 5

Substitute C = 5 in 0.75C + 1.25A <= 7

0.75 * 5 + 1.25A <= 7

Evaluate the product

3.75 + 1.25A <= 7

Evaluate the like terms

1.25A <= 3.25

Divide by 1.25

A <= 2.6

Rewrite as

A < 3

Hence, he can give at most 2 adult haircuts with the remaining time

Read more about inequalities at:

brainly.com/question/15010638

#SPJ1

<u>Complete question</u>

Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7

Horace gave 5 child haircuts.

How many adult haircuts at most can he give with the remaining time?

8 0

2 years ago