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Masteriza [31]
3 years ago
8

What are the next three terms of each sequence?5,7.5

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

The next three terms are 10, 12.5 and 15

Step-by-step explanation:

I. As you can see 5 and 7.5 is came from 5, 5 + 2.5

So given y = 5 + 2.5( x - 1 ) when y is output, x is term

II. Perform x = 3, 4, 5

        So y = 5 + 2.5( 3 - 1 )

                = 5 + 5

          3rd = 10

             y = 5 + 2.5( 4 - 1 )

                = 5 + 7.5

            4th = 12.5

             y = 5 + 2.5 (5 - 1)

                = 5 + 10

             5th = 15

Leave comment below.

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Please help with this algebra!! I’m
stiks02 [169]

Answer:

(-4, -1)

Step-by-step explanation:

x = 4y

-4x - y = 17

Plug in 4y for x in the second equation:

-4(4y) - y = 17

Simplify. Remember to follow PEMDAS. Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

First, multiply 4y with -4:

-4(4y) = -16y

-16y - y = 17

Simplify. Combine like terms:

-16y - y = 17

-17y = 17

Isolate the variable, y. Divide -17 from both sides:

(-17y)/-17 = (17)/-17

y = 17/-17

y = -1

Plug in -1 for y in the first equation:

x = 4y

x = 4(-1)

x = -4

x = -4, y = -1

Answer: (-4, -1)

~

7 0
3 years ago
Hi can anybody explain to me how to do this I'm kinda confused . 5×[5(-7)]​
telo118 [61]

Answer:

5 × [5(-7)]

= 5 × (-35)   ---- 5 × (-7) = -35

= -175

4 0
3 years ago
Please help me thank you.
Alona [7]

Answer:

\large\boxed{1.\ (4)^{-3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}}

\large\boxed{2.\ ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x}

Step-by-step explanation:

Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\------------\\\\(4)^{-3x^2}=\left[(4)^{-1}\right]^{3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}

Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\ and\ (a^n)^m=a^{nm}\\--------------------\\\\ab^{-3x}=a\cdot b^{-3x}=a\left[(b)^{-1}\right]^{3x}=a\left(\dfrac{1}{b}\right)^{3x}\\\\ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x

8 0
3 years ago
Graph x<2.
bazaltina [42]

Answer:

A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends that passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.

Step-by-step explanation:

The inequality given is x < 2. This means x is less than two are the values that satisfy the equation.

The equation can be written as x=2 to identify the position where the line will pass. The line is dotted and will pass through x=2 to be parallel with the y-axis.

The second and third answers are not correct because the line should not be solid.

The first answer is not correct because the shaded part should be to the left of the line.

5 0
3 years ago
A biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this
padilas [110]

Answer:

(1/4) hr/mile

Step-by-step explanation:

4 mph can be rewritten using other units of measurement:

Suppose we convert 'miles' to 'feet:'

Then:

4 miles     5280 ft

---------- * ------------- = 21120 ft/hr

     1 hr        1 mile

Note that we could invert 4 mph and obtain

 1 hr

-------- or (1/4) hr/mile

4 mi

4 0
3 years ago
Read 2 more answers
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