What is the slope of the line that passes through the pair of points?
( 1,7 ) , ( 10,1 )

combine like terms

-6<-1x

divide by negative 1 on both sides

flip the sign when dividing by a negative number

6>x is the answer.

Answer:

[tex]\boxed { x < 6}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]-6 < 3x - 4x[/tex]

-Combine like terms:

[tex]-6 < 3x - 4x[/tex]

[tex]-6 < -x[/tex]

-Switch sides:

[tex]-6 < -x[/tex]

[tex]-x > -6[/tex]

-When you are dividing an integer by a negative integer, then the inequality sign would change. So, to get the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} > \frac{-6}{-x}[/tex]

[tex]\boxed { x < 6}[/tex]

Answer:

7

Step-by-step explanation:

This function can never equal 0. Why? well here:

(f/g)(x) also just means [tex]\frac{f(x)}{g(x)}[/tex]. In this case, we get [tex]\frac{x^2-x-12}{x-4}[/tex] Or [tex]\frac{(x+3)(x-4)}{x-4}[/tex]. It seems like you can cancel out x-4 and bam, you get x+3 and any value should work.

However, x can never equal 4 because 4 leads to a case where you divide by 0. This is called discontinuity. Thus, the value you can't get is x=4, or 7 because when you plug 4 in, you get 0/0. Otherwise, any other real value is defined by x+3.

Answer:

x= 0

Step-by-step explanation:

Because it scale factor

Answer:

($5,400) * 0.13 = $702 * 52 weeks = $36,000

Step-by-step explanation:

Answer:

x can be 10 or -10

Step-by-step explanation:

Answer:

Hope this helps and would appreciate if you would add me as brainiest

Answer:

28 years

Step-by-step explanation:

youngest brother's age = x

middle brother's age = x+2

oldest brother's age = x+4

3(x-2) = (x+2)+48

[simplify]

3x-6 = x+50

[add 6 to each side]

3x = x+56

[subtract x from each side]

2x = 56

[divide each side by 2]

x = 28

Answer:

b=130°

Step-by-step explanation:

b=180°-50°=130°

Answer:

130⁰

the sum of the two angles is 180⁰ as demonstrated by forming a straight line. 180-50=130

Answer:

b = (4/6) - a/2

Step-by-step explanation:

6b + 3a = 4

6b = 4 - 3a

b. = (4 - 3a)/6

b. = (4/6) - a/2

The value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.

It is defined as the combination of constants and variables with mathematical operators.

In the provided expression, variable and constant are there

It is given that:

The equation in a and b, where a and b are the variables:

3a + 6b = 4

Here the indicated variable is b.

To find the value of b in terms of a make the subject as b:

Subtract 3a on both the sides in the equation 3a + 6b = 4:

The equation becomes:

3a + 6b -3a = 4 - 3a

6b = 4 - 3a

Divide by 6 on both sides:

The equation becomes:

6b/6 = (4 - 3a)/6

b = (4 - 3a)/6

Thus, the value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

1/81

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Parenthesis first, (6+3=9)^2 (9)^2 = 81-4 = 77

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

[tex]\frac{x+23}{x+41} = 0.5[/tex]

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

[tex]x+23=0.5(x+41)[/tex]

Now we multiply out the brackets and move the terms to different sides:

[tex]x+23=0.5x+20.5[/tex]

[tex]0.5x = -2.5[/tex]

[tex]x = -5[/tex]

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

9514 1404 393

Answer:

  114°

Step-by-step explanation:

Angles LOM and MON are a linear pair, so are supplementary.

  x + 66 = 180

  x = 180 -66 = 114

The measure of ∠x is 114°.

Answer:

B

Step-by-step explanation:

Answer:

5. x+4=86

6. An equation can be used to predict values from a pattern by merely substituting any value to determine the equivalent value. An example is the geometric series which has a standard equation of an = a1 * r^(n-1) and is used to predict the nth term of the series

Step-by-step explanation:

Answer: [tex]\frac{20}{24}[/tex]

Multiply each sides of the fraction (numerator/denominator) by 4.

5 x 4 = 20, 6 x 4 = 24

Make a fraction out of 20 and 24.

20/24 = [tex]\frac{20}{24}[/tex]

Make sure the fraction is correct, by adding.

20 + 24 = 44

Answer = 44

Answer: x=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

4(2x + 1) + 2 = 5(x + 6)

8x + 4 +2 = 5x + 30

Collect like terms

8x - 5x = 30 - 4 - 2

3x = 24

Divide both side by 3

x = 8

Answer:

66.4°

Step-by-step explanation:

Let ∠XYZ be x°.

Given the adjacent side, XY, and the hypotenuse side,YZ, we use cosine.

[tex] cosθ= \frac{adj}{hyp} \\ cosx° = \frac{6}{15} [/tex]

To find the value of x°, take the inverse of cosine.

[tex] x°\\ = cos^{ - 1} (\frac{6}{15} ) \\ = 66.4° \: (1 \: d.p.)[/tex]

Thus, ∠XYZ= 66.4°

*Given 2 sides, we can find the measure of an angle in a right- angled triangle by taking the inverse of the trigonometry function.

Answer:

0;0;2;9;8;4

Step-by-step explanation:

(2)^(3)

36.481;2.5

-3*(-2/3)-1

8;1;2;9;0;4

0;0;2;9;8;4

Answer:

J

Step-by-step explanation:

P: 312,000,000

Q: 81,000

R: 792,000

S: 26,500

Least to greatest: 26500(S), 81000(Q), 792000(R), 312000000(P)

S, Q, R, P

Answer:

w = -8

Step-by-step explanation:

19 = -9w - 5 + 6w

19 = -3w - 5

19 + 5 = -3w

24 = - 3w

w = -8

Multiply sales by 6%

40,000 x 0.06 = 2,400

Add that to his base pay:

2400 + 25000 = $27,400 total pay.

Answer:

A

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

Answer:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Step-by-step explanation:

From the graph

→ The point on the vertical axis (y-axis) represents

→ Which means it represents their height at 0 hour

→ The real-world meaning of that point is:

The point on the vertical axis (y-axis) represents the y-intercept.

It represents the height over the sea level at the starting point of hiking

Answer:

4.598 meters

Step-by-step explanation:

........

Answer:

8 x 4(7x) x^9

Step-by-step explanation

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