Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

d. The opposite of - 10t and t - 10t

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

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Answer:

[tex]a_n=48*1.5^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequence

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

[tex]r=\frac{72}{48}=1.5[/tex]

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

[tex]a_n=a_1*r^{n-1}[/tex]

Where a1=48 and r=1.5

[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]

For example, to find the 5th term:

[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]

Answer:

3

Step-by-step explanation:

To find the slope of the line, you can use the formula rise/run.

Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,

Rise = 3

Run = 1

Now to plug this into our formula:

3/1 = 3

The slope of the line is 3.

Answer:

a=12

Step-by-step explanation:

we need the slope of this line. Find it with the slope formula

m= y2-y1 / x2-x1    with the points given p1=(-8,7)  and p2=(-11,-11)

m=-11-7 / -11-(-8)                                               (x1,y1)               (x2,y2)  

m= -18 /-11+8

m= -18 / - 3

m= 6

next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]

y-7=6(x-(-8))  ( simplify this towards the slope intercept form [y=mx+b]

y-6=6(x+8)

y-6=6x+48

y=6x+54

now we can plug in our point of (-7,a) to find what a is

a=6(-7)+54

a=-42+54

a=12

:)

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation:

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

Answer:

B) $16

Step-by-step explanation

Answer:

3 and 7

Step-by-step explanation:

1a. closest to 1

b. closest to 0

2a. closest to 1

b. closest to 1/2

Numb 3. Ain't clear.

4. Not sure.

5a. closer to 1

b.closer to 1/2

c. 3/4 - 5/12 = 1/3

6. 26/15

7. 7/18

8. 47/240

9. 191/225

10. 11/60

11. 81/200

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

Answer:

18 racers finished.

Step-by-step explanation:

In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)

Answer:

-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1

Step-by-step explanation:

Here, we want to have an expression of at least ten terms which when simplified would give polynomial

We have the expression as

x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1

x = 3

Divide each term by  3  and simplify.

Answer:

the amount of angle the hall is so prob like 5

Step-by-step explanation:

you provided insufficient details to answer

Answer: 30 degrees

Step-by-step explanation:

2 interior angles of 75 degrees.

75+75=150.

180-150=30

Answer:

Y=-1+2x/3

Step-by-step explanation:

Move all the terms that don't contain y to the right side and solve. Hope this helps!

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Answer:4

Step-by-step

Answer: 4 miles

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3

Answer:

x^2 - 4x + 5 = 0

Step-by-step explanation:

:)

x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.

The values of variables satisfying the given quadratic equation are called its roots.

Given  (2 + i) and (2 - i) are roots of the quadratic equation.

Let the quadratic equation be f(x).

(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).

Since, f(x) is a quadratic equation, it has only two roots.

f(x) = (x - (2 + i))(x - (2 - i))

f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)

f(x) = x² - 2x + ix - 2x - ix + 4 - i²

f(x) = x² - 4x + 4 + 1

f(x) = x² - 4x + 5

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Answer: did you ever get the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

Answer:

1x=3y

-9x=-2y

Step-by-step explanation:

6x=-4y

17x=-2y

4y

17x=-2y

Answer:

The answer is B

Hope this helps

Answer:

The first answer

Explanation:

Ok I added an explanation lol-

So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)

C doesn't even make sense 6-6

And D isn't 5 2/5 it's 7 2/5