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Answer:

x = 3      x = -5

Step-by-step explanation:

2|x+1|=8

Divide each side by 2

2/2|x+1|=8/2

|x+1| = 4

There are two solutions to an absolute value, one positive and one negative

x+1 = 4            x+1 = -4

Subtract 1 from each side

x+1 -1 = 4-1         x+1-1 = -4-1

x = 3                     x = -5

Answer:

x=3 and -5

Step-by-step explanation:

to start with when you work with equations there will be two answers, no solution set or the answer will be 0. in this case there are two answers.

2/x+1/=8(first you remove all the things that are extra to the equation)

2          2

/x+1/=4 in this case it has two answers because 4 is greater than 0.

so you remove the bracket.

x+1=4                               or                              x+1=-4

x=4-1                                                                  x=-4-1      

x=3                                                                    x=-5

Answer:

C. 55 [tex]\leq[/tex] 3.5x + 15

Step-by-step explanation:

i found it on google

Answer:

c

Step-by-step explanation:

Answer:

B = 62.9ft

Step-by-step explanation:

The distance where she is from the oak tree is 75ft,

The angle of elevation the stone makes with the top of the oak tree is 40°

The height of the tree is x ft

See attached document for better illustration

Using SOHCAHTOA,

Tanθ = opposite/ adjacent

θ = 40°

Opposite = x ft

Adjacent = 75ft

Tan40 = x / 75

X = 75 × tan40

X = 75 × 0.8390

X = 62.92ft

The height of the oak tree is 62.9ft

Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere (V) = 4/3 π radius³

Replacing with the values given and solving for V (volume)

V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters

The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Feel free to ask for more if needed or if you did not understand something.

Answer:

Option (3). $1500

Step-by-step explanation:

Cost price of the jukebox = $9400

Down payment made by the diner = $1000

Diner agreed to pay the rest amount by $275 per month for 36 months

Total amount to be paid by the diner = Down payment + monthly payments

                                                              = 1000 + 275×36

                                                              = 1000 + 9900

                                                              = $10900

Finance charge = 10900 - 9400

                          = $1500

Therefore, option (3). 1500 will be the answer.

Answer:

-23

Step-by-step explanation:

x = -5 lies in the last piece

h(-5) = 4(-5) - 3

= -20 - 3

= -23

Step-by-step explanation:

Step 1:  Find which piece-wise function it is in

Equation 1 → x < -7

Let x = -5 → (-5) < -7 ← False

Equation 2 → -7 ≤ x < -5

Let x = -5 → -7 ≤ (-5) < -5 ← False

Equation 3 → x ≥ -5

Let x = -5 → (-5) ≥ -5 ← True

Step 2:  Find the value of h(-5)

[tex]h(-5) = 4x - 3[/tex]

[tex]h(-5) = 4(-5) - 3[/tex]

[tex]h(-5) = -20 - 3[/tex]

[tex]h(-5) = -23[/tex]

Answer:  [tex]h(-5) = -23[/tex]

Answer:

430

Step-by-step explanation:

Answer: 430

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is a parent function because it is in the form of [tex]y=x^{2}[/tex]. Normal functions have the equation [tex]y=ax^2+bx+c[/tex].

Answer:

-8-(-11)-7= -4

B

Plug it in. Hope this helped!

The 1st pic is D

The 2nd pic is 8 units

Answer: year 1948

Step-by-step explanation:

1900 is our t = 0

The population of Greenville can be written as:

G = 4000 + 100*t

the equation for Springfield can be written as:

S = 1000*(1.04)^t

we want to find the value of t that makes S(t) = G(t)

4000 + 100*t = 1000*(1.04)^t

(4000 + 100*t) = 1.04^t

4 + 0.1*t = 1.04^t

now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:

4 = 1.04^t - 0.1*t

You will find that the correct value is t = 48

So we can assume that in year 1948 the populations will be about the same.

Answer:x>7 or x ≤ -3

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

Step-by-step explanation:

Answer:

x> 7 OR x ≤−3

Step-by-step explanation:

−6x+14<−28 OR 9x+15≤−12

Solve them separately and then put back together

−6x+14<−28

Subtract 14 from each side

-6x +14-14 <-28-14

-6x <-42

Divide each side by -6, remembering to flip the inequality

-6x/-6 > -42/-6

x> 7

9x+15≤−12

Subtract 15 from each side

9x +15-15 ≤−12 -15

9x ≤−27

Divide each side by 9

9x/9 ≤−27/9

x ≤−3

Answer:

No

Step-by-step explanation:

The sum of a rational number and an irrational number is irrational.

Step-by-step explanation:

m∠1 = 180-100 = 80

m∠2 = 180-150 = 30

m∠3 = 180-(80+30) = 180 - 110 = 70

using the law of sine :

AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))

=2.66044443119

CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588

Answer:

D)The slope is -2/3

Step-by-step explanation:

First, put this equation in slope-intercept form by subtracting 2x on both sides:

2x+3y=6

-2x. -2x

Your equation should be:3y=-2x+6

Then, divide the whole equation by 3 since y has to be by itself

3y=-2x+6

---- ------

3. 3

Your equation should be y=-2/3x+6

Since the slope in slope-intercept form is m in y=mx+b, -2/3×=m

Final answer:D) The slope is -2/3

your answer is 0

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{26}x-2[/tex]

Step-by-step explanation:

[tex]x-26y=52\\\mathbf{y=mx+b}\:\mathrm{is\:the\:slope\:intercept\:form\:of\:a\:line\:where}\:\mathbf{m}\:\mathrm{is\:the\:slope\:and}\:\mathbf{b}\:\mathrm{is\:the}\:\mathbf{y}\:\mathrm{intercept}\\\mathrm{Convert\:to\:slope\:intercept\:form}:\quad y=\frac{1}{26}x-2\\x-26y=52\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\x-26y-x=52-x\\\mathrm{Simplify}\\-26y=52-x\\\mathrm{Divide\:both\:sides\:by\:}-26\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}[/tex][tex]\mathrm{Simplify}\\\frac{-26y}{-26}=\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Simplify\:}\frac{-26y}{-26}:\quad y\\\frac{-26y}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{26y}{26}\\\mathrm{Divide\:the\:numbers:}\:\frac{26}{26}=1\\=y[/tex]

[tex]\mathrm{Simplify\:}\frac{52}{-26}-\frac{x}{-26}:\quad -\frac{52-x}{26}\\\frac{52}{-26}-\frac{x}{-26}\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{52-x}{-26}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{52-x}{26}\\y=\frac{1}{26}x-2\\\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=\frac{1}{26}x-2[/tex]

Answer:

  6.75

Step-by-step explanation:

The shaded area amounts to two congruent equilateral triangles. Each has a side length of 2(1 in)cos(30°) = √3 in.

The height of an equilateral triangle with side length √3 is ...

  height = (√3 in)sin(60°) = 3/2 in

Then the area of the two equilateral triangles is ...

  A = bh = (√3 in)(3/2 in) = 3√3/2 in^2

The square of the numerical value of the area is ...

  A^2 = ((3/2)(√3))^2 = 27/4 = 6.75

The square of the shaded area is 6.75.

Answer:

ok here you go

Step-by-step explanation:

i cant really plot them for you but i will help explain how to plot them.

the x-axis is the horizontal plane on the graph. the y-axis is the vertical plane on the graph. every coordinate has both a x and y point.

for you the x would be -8 and the y would be 7. first, you would go accross the x-axis to -8 and then go up to positive seven. you would be in the fourth quadrent in the graph. then  you would do the same to the other pair. remember, (x,y)

Answer:

83g

Step-by-step explanation:

Answer:

0.00829999999984360089 grams

Step by step

8.2999999998436e-6 converts to 0.00829999999984360089

Answer:

the slope of the line y=8 is 0

Step-by-step explanation:

0

Answer:b

Step-by-step explanation:

Took quiz

Answer:

A

Step-by-step explanation:

I took the test

Answer:

-1/3

Step-by-step explanation:

I am assuming you mean 4/x + 17 = 5

Answer:

Dilation factor is 2/3

Step-by-step explanation:

Look at both flat lines (M to S and M' to S') and find their lengths.

M to S = 9 units

M' to S' = 6 units

The triangle has gotten smaller so the dilation factor is a fraction

new/original = 6/9 = .66666666 or 2/3

Dilation factor is 2/3

Answer:

L x W x H                                            

Yeet

:3

Answer:15x+-2

Step-by-step explanation:

you add 2x+5x+8x=15x

then you add 4+-6

Answer:

(4, -3)

Step-by-step explanation:

The origin is at (0,0). When you move right or left, you change the x-coordinate, or the first coordinate. You moved right which is in the positive direction so now your coordinate is (4,0).

When you move up or down, you change the y-coordinate, or the second coordinate. You moved down which is in the negative direction so your final coordinate is (4, -3).

Answer:

4,-3

Step-by-step explanation:

i got it

Answer: y=54

Step-by-step explanation: since a triangles angles =180 and you just have this equation 180-72=2y that equals 108=2y

Answer:

The answer is B. 54 degrees.

Step-by-step explanation:

A triangle must be 180 degrees when all three angles are added together. 180 minus 72 is 108 degrees, which you have to divide by two, because there are two y values.

You can check this by adding 72 plus 54 plus 54 to get 180 degrees total.

Answer:

there are infinite integers.