4.
3. If 2(4x + 3) - 12 = 3x - 6, then what value of x makes
the equation true?

Answer with supporting work:

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6 - 2x = - 2x + 6 ← is in slope- intercept form

with slope m = - 2

y = - 10x - 4 ← is in slope- intercept form

eith y- intercept c = - 4

then

y = - 2x - 4 ← is the equation of the required line

Step-by-step explanation:

slope of y=6-2x=> -2 as it is in the form (y=mx+c )

y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)

so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):

that is y=mx+c

=> y= -2x-4=> 2x+y+4=0 is equation of required line

Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 50700(1 + 0.08)^t[/tex]

[tex]A(t) = 50700(1.08)^t[/tex]

After 11 years, the cost will be given by:

[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

When numbers become very small or large standard form (or standard index form) is used to make them manageable. In standard form or unit a number is written as:

[a number between 1 and 10] × [ an integer power of 10]

Answer:

8:12

2/3

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

5x+1=31

-1 from each side

5x=30

divide both sides by 5

x=6

m∠ ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.

Which means :-

[tex]5x + 1 = 31[/tex]

[tex]5x = 31 - 1[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5} [/tex]

[tex]\color{red}x = 6[/tex]

Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .

Answer:

width = 3 cm

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

given A = 27 and length = 9 , then

9 × width = 27 ( divide both sides by 9 )

width = 3 cm

❝ Area of a rectangle is ❞ = ❝ Length × Width ❞

✠ Given terms :

➺ Area = 27 cm²

➺ length = 9 cm

✠ Now, let's assume the width to be ❝ x cm ❞ and proceed to find its value using given relation ~

[tex]\qquad \: \twoheadrightarrow\sf Area = L × B [/tex]

[tex]\qquad \: \twoheadrightarrow\sf 27 = 9 × x [/tex]

[tex]\qquad \: \twoheadrightarrow \sf x = 27 ÷ 9[/tex]

[tex]\qquad \: \twoheadrightarrow \sf \: x = 3 \: cm[/tex]

✠ Therefore, The width of the rectangle = 3 cm

[tex]\qquad\qquad \qquad\huge \dag  \normalsize\sf\boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

╭─━━━━━─╯Thanks╰─━━━━━─╮

Answer:

MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER

Step-by-step explanation:

Answer:

10.30%

Step-by-step explanation:

7/68

x 100% = 10.2941176471%

Answer:

y-5=-2/3(x-(-7))

Step-by-step explanation:

I just learned this recently as well so bare with me.

So the point slope form is y-y1=m(x-x1)

So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4

So now, we just have to plug in the numbers.

So y-5=-2/3(x-(-7)).

I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.

I hope this helped.

Answer:

s(r(4)) = 13

Step-by-step explanation:

Substitute and calculate:

s(r(4)) = 13

Answer:

do u have a picture of it ?

Answer:

No graphs are visible to choose from...

Step-by-step explanation:

Answer:

Let's order the units because it can help us better;

_______     _______ = ________ , next we solve for x;

375/125 = x/50

x = 150

Answer: 1.8 units

Step-by-step explanation:

Step-by-step explanation:

Let the base be x and the perpendicular be y.

It is given that, one leg of a right triangle is twice as long as the other leg,

y = 2x ...(1)

Hypotenuse, H = 5 cm

We can use Pythagoras theorem as follows :

[tex]H^2=B^2+P^2[/tex]

Putting all the values,

[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]

So, the base is [tex]\sqrt5\ cm[/tex]. No, to find the value of y put x in equation (1). So,

[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]

Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]

Answer:

1

Step-by-step explanation:

You find a number that divides 7 to equal 19.

[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]

Answer:

x= 35.2344 °

Step-by-step explanation:

Sides:

a = 2.6 m

b = 2.12368 m

c = 1.5 m

Angles:

A = 90 °

B = 54.7656 °

C = 35.2344 °

Other:

P = 6.22368 m

s = 3.11184 m

K = 1.59276 m2

r = 0.511838 m

R = 1.3 m

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

AAS is Angle, Angle, Side

Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.

Use the Sum of Angles Rule to find the other angle, then

use The Law of Sines to solve for each of the other two sides.

Hey there!

Equation: 60m = h

Goodluck and enjoy ^_^

Answer:

What is the rest of the question? There isn't enough information.

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

Hope this helps

Check the picture below.

Answer:

x = 6

Step-by-step explanation:

Ok first you need to get to combine like terms, so first subtract six from the left so it cancels out the left side and what you do to one side you have to do it to the other so after you do that you get

-3x = 2x -30

then you subtract 2x from the right side and 2x on the left side getting

-5x = -30

your  goal is to get  by itself so what you can do is divide -5 on both sides getting

x = 6

if you are wondering why its a positive and not a negative its because a negative divided or multiply by a negative makes a positive.

Answer:

x=6

Step-by-step explanation:

-3x+6=2x-24

6=5x-24

30=5x divide both sides by 5

x=6

Answer:

10 and 2

2 and 24

4 and 6

Step-by-step explanation:

6 and 12 gcf is 6

Answer:

10 and 2, 2 and 24, 4 and 6

Step-by-step explanation:

do the prime factor tree method

10 and 2:

10: 2 x 5

2: 2

gcf/hcf : 2

2 and 24 :

2: 2

24: 2 x 2 x2 x 3

gcf/hcf : 2

4 and 6 :

4: 2 x 2

6: 2x 3

gcf/hcf : 2

why 6 and 12 don't work

6: 2 x 3

12: 2 x 2 x 3

they have 3 in common as well, meaning the hcf/gcf would be 2 x 3 which is 6, not 2

Answer:

C. Ankur found that the quotient of a positive number and a negative number is positive

Step-by-step explanation:

Given the expression that is solved by Ankur as shown;

[tex]15 \frac{1}{3} \div(-4\frac{2}{3} )[/tex]

We were told that Ankur got 3. Let us evaluate to see ankurs error.

change to improper fraction first

[tex]= 15 \frac{1}{3} \div(-4\frac{2}{3} )\\= \frac{46}{3} \div \frac{-14}{3} \\= \frac{46}{3} \times \frac{-3}{14} \\= \frac{-46}{14}\\ = -3.28[/tex]

Note that from the calculation the quotient of a positive number to a negative number returns a negative number. Based on Ankur's answer, he got a postive value which is one of his errors. He found out that the quotient of a positive number and a negative number is positive which is wrong.

Hence the correct option is C

Answer:

Step-by-stepAnkur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor explanation:

so the answer is b

Answer:

5

Step-by-step explanation:

Answer:

The radius of the circle is 5

Step-by-step explanation:

The new price of the lens once it goes on sale is $389.35.

Given that,

[tex]= \$599 - (35\% of \$599)\\\\[/tex]

= $389.35

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

Answer

4

~~~~~~~~~~~~~~~~~~~~~~~

Yeah it's 4 again double check!

Answer:

C. 108 square inches

Step-by-step explanation:

How do we find the surface area?

  ❖ To find the surface area, we have to calculate the area of each

       shape on a 3D figure.

Solving for Area of Triangles

Solving for Area of Rectangles

Solving Area of Rectangle and Triangle

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

108 ft²

Step-by-step explanation:

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Surface area = rectange + rectangle + rectangle + 2 congruent triangles

                     = (3 × 8) + (4 × 8) + (5 × 8) + 2(1/2 ×3 × 4)

                     = 24 + 32 + 40 + 12

                     = 108 ft²

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

Answer:X=−4x/3−21

                 y=4x/3+7

Step-by-step explanation:

Answer:

it is option D because it make supplementry or 180°

Answer:

look at explanation, i got it on ed.

Step-by-step explanation:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Answer:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Step-by-step explanation:

Answer:

Step-by-step explanation: