Please help with this Algebra question

Step-by-step explanation:

1. The y-intercept is the value for y when x = 0.

When x = 0, y equals 7.

Represented as:

(0, 7)

2. How to find the Slope?

Find 2 points on the graph then use the slope formula.

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

[tex] \frac{3}{2} - \frac{7}{0} = m[/tex]

Subtract:

[tex] \frac{ - 4}{2} = m[/tex]

[tex] \frac{ - 4}{2} = m[/tex]Simplify:

[tex] \frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1} [/tex]

The slope is -2.

Forming an equation:

Use the slope-intercept format.

[tex]y = mx + b[/tex]

m = slope

b = y-intercept

Substitute 7 for b, and -2 for m.

[tex]y = - 2x + 7[/tex]

[tex]\begin{array}{ccll} houses&weeks\\ \cline{1-2} 7&5\\ x&18 \end{array}\implies \cfrac{7}{x}=\cfrac{5}{18}\implies 126=5x \\\\\\ \cfrac{126}{5}=x\implies 25\frac{1}{5}=x[/tex]

Hello.

Let's solve the absolute value inequality.

In order to do that, let's imagine that |3x-4| is positive.

Since the absolute value of |3x-4| is 3x-4, we write 3x-4 and solve:

[tex]\mathrm{3x-4\geq 8}[/tex]

Now, move -4 to the right, using the opposite operation:

[tex]\mathrm{3x\geq 8+4}[/tex]

Add:

[tex]\mathrm{3x\geq 12}[/tex]

Divide both sides by 3:

[tex]\mathrm{x\geq 4}[/tex]

However, this is only 1 solution.

Let's imagine that |3x-4| is a negative number.

So, the inequality looks like so:

[tex]\mathrm{-3x+4\geq 8}[/tex]

Move 4 to the right:

[tex]\mathrm{-3x\geq 8-4}[/tex]

[tex]\mathrm{-3x\geq 4}[/tex]

Divide both sides by -3:

[tex]\mathrm{x\leq \displaystyle-\frac{4}{3} }[/tex]

Therefore, the solutions are

[tex]\mathrm{x\geq 4}\\\mathrm{x\leq \displaystyle-\frac{4}{3} }[/tex]

[tex]\bigstar[/tex] Note:

If we divide both sides of an inequality by a negative number, we flip the inequality sign.

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

[tex]\displaystyle{ \frac{x}{3} = 2}[/tex]

[tex]x = 2 \times 3[/tex]

[tex]x = 6[/tex]

[tex]\displaystyle{ \frac{x}{3} = 2 }[/tex]

[tex]\displaystyle{ \frac{6}{3} = 2 } [/tex]

[tex] = > 2 = 2[/tex]

Answer:

option A. |c| is the answer.

because sqrt of any number is always positive. that's why we add the modulas symbol around the interger.

Answer:

-3 < x < 1, This is the domain

Answer:

Trying to learn it math isint about learning a eqution. its about expanding your mind and making you think.

Step-by-step explanation:

Hope it helps:)

Answer:

57×2/3+32×450-[39-4+2]/2+8

57×2/3+32×450-(39-6/2)+8

57×2/3+32×450-36+8

57×2/3+14400-28

57×2/3+14372

38+14372

14410

Answer:

7/8

Step-by-step explanation:

assuming the probability of getting a boy and girl is 50 50,

(1/2)^3=1/8

1-1/8=7/8

Answer: B

Step-by-step explanation:

[tex]x^{2}-6x-14=(x-3)^{2}-14-9=(x-3)^{2}-23[/tex]

You add the exponent. You never multiply it.

Hope this helps!

Say, mind doing me a favor and clicking the brainliest button for me? It would help me tons.

Answer:

The choice D. r= - 45

Step-by-step explanation:

[tex] \frac{r}{15} = ( - 3) \\ \\ r = ( - 3) \times 15 \\ \\ r = - 45[/tex]

Answer:

A. 9

Explanation:

2×4=8 and 8+1=9 so that's it.

Answer:

The zeros are 8 and -10, all u have to do is substitute x for those values, factor it, or graph it.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Since DE=4 and AB=2, we know the scale factor of the dilation was 4/2 = 2.

Answer:6

Step-by-step explanation:

the correct answer would be 6. Step-by-step explanation: when 7 is multiplied by 6 it gives 42 ,then we have to add 8 to the product and it gives 50

Answer:

then what happened next so I can answer your questions

Answer:

Do you have any more information on this question so we can answer it for you?

The length of the segment AC is 4√3, so the correct option is E.

In the image, you can see a right triangle.

We do know that AB = 8 units, and BC is equal to the radius of the circle.

We also know that the area of the circle is 16pi, and the area of a circle of radius R is:

A = pi*R^2

Replacing our area, we get:

16pi = pi*R^2

16 = R^2

√16 = R = 4.

So the radius of the circle is 4, which means that BC = 4.

Now we can use the Pythagorean theorem, that says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this can be written as:

AB^2 = BC^2 + AC^2

8^2 = 4^2 + AC^2

64 - 16 = AC^2

√48 = AC

√(3*16) = AC

4√3 = AC

So the correct option is E.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

Absolute change: $1,700

Relative change: 7.6577%

Step-by-step explanation:

Absolute change: $22,200 - $20,500 = $1,700

Relative change: (100 × $1,700) : $22,200 ≈ 7.6577%

Answer:

18 kids

Step-by-step explanation:

because you multiply 0.2 by 90 and it equals 18

Answer:

Step-by-step explanation:

1399 rounds to 1400 so A is not the answer

1449 rounds to 1400 so B is not the answer

1589 rounds to 1600 so D is not the answer

The hundreds place is second from the left. Third from the left determines what happens to second from the left. 5 and over round up. Less than 5 just use the first 2 digits left and 2 zeros.

The answer is C

1457 rounds to 1500

1547 rounds to 1500

Answer:

12 cm

Step-by-step explanation:

First, divide the perimeter by the sum of ratios.

=> 84 / (3 + 4 + 2 + 5)

=> 84 / 14

=> 6

Shortest side

= 2x

= 2(6)

= 12 cm

Answer:

1. 120[tex]m^{2}[/tex]

2. 192[tex]ft^{2}[/tex]

3. 48[tex]cm^{2}[/tex]

Step-by-step explanation:

First triangle:

1. Find out the height

   [tex]h^{2} +8^{2} =17^{2}[/tex]

   [tex]h^2+64=289[/tex]

         -64     -64

   [tex]h^2=225[/tex]

  h=15

2. Find the area

A=1/2 x 16 x 15

A=120[tex]m^{2}[/tex]

Second triangle:

1. Find out the height

   [tex]h^2+16^{2} =20^{2}[/tex]

   [tex]h^2+256=400[/tex]

         -256   -256

   [tex]h^{2} =144[/tex]

   h=12

2. Find the area

A=1/2 x 32 x 12

A=192[tex]ft^{2}[/tex]

Third triangle:

1. Find out the height

[tex]h^2+6^2=10^{2}[/tex]

[tex]h^2+36=100\\[/tex]

     -36    -36

[tex]h^2=64[/tex]

h=8

2. Find the area

A=1/2 x 12 x 8

A=48[tex]cm^{2}[/tex]

Answer:

$103,000

Step-by-step explanation:

teacher : 38,900 x 5 = 194,500

principal : 59,500 x 5 = 297,500

$297,500 - $194,500 = $103,000 more

Answer:

[tex]y < -\frac{4}{5} x+4[/tex]

Step-by-step explanation:

To graph the equation, draw the line [tex]y = -\frac{4}{5} x+4[/tex] and shade in the lower left part of the graph under the line to illustrate the inequality

Then pick two points to test

The solutions of a system of equations is also the intersection of the two lines. In this case the red parabola and the blue linear equation intersects at One point and there fore the answer is C.) One

I hope it helped, if you need more explanation just comment and I will try to explain better!

The probability that the employee is idle in the shopping mall based on the information given will be 0.33.

From the information given, it is believed that people will arrive at the desk at a rate of 20 per hour and that it takes an average of 2 minutes to answer a question.

Therefore, the probability that the employee is idle will be:

= 1 - (20/30)

= 1 - 0.67

= 0.33

Therefore, probability that the employee is idle is 0.33.

Learn more about probability on:

https://brainly.com/question/24756209