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9514 1404 393

Answer:

  D.  G(x) = (x+3)² -2

Step-by-step explanation:

G(x) is translated left 3 and down 2 from F(x). The transformation ...

  G(x) = F(x -h) +k

is a translation right h units and up k units. We have h=-3 and k=-2, so the function of interest is ...

  G(x) = F(x +3) -2

  G(x) = (x +3)² -2

9514 1404 393

Explanation:

If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.

__

  [tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]

We assume that you know dividing by 10 moves the decimal point one place left.

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

answer: 9

Step-by-step explanation:

x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9

Answer:

So coming back to the question; No, there is no rational number that is not an integer but is a whole number. The number is called as a rational number if it can be expressed as p/q where p & q are integers & q is not 0. All negative integers are rational numbers but those are not whole numbers.Jan 1, 2020

Step-by-step explanation:

Answer:

A. x≤2; B. wrong unequality after dividing by negative number.

Step-by-step explanation:

9x-18x≥ -18;

-9x≥ -18;

0≥ -18+9x;

18≥9x;

9x≤18;

x≤2.

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8

a+1 = 3

(a - 1)^2

[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]

Answer:

5 more matches was won by yu-na kim

Answer:

m = -1

Step-by-step explanation:

Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].

8-5/7-4

3/3

1

Find the y-intercept.

5 = 1(4) + b

5 = 4 + b

1 = b

So the equation of the line AB is y = x + 1.

The slope of a perpendicular line is the opposite reciprocal of the original line.

1 -> -1/1 -> -1

Best of Luck!

Answer:

because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)

so we have:

[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]

=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]

With P(x) = 0

=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]

=> ........

Step-by-step explanation:

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

The GCF of 10 and 6 is 2. May this will help you.

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

20 + 8

4(5 + 2)

100 + 75

25(4 + 3)

49 + 28

7(7 + 4)

32 + 24

8(4 + 3)

Answer:

Ans; 8 +20 —> 4(2+5)

Ans; 75+100 —> 25(4+3)

Ans; 28+49 —> 7(4+7)

Ans; 24+32 —> 8(3+4)

I hope I helped you^_^

Power Walking has been at the top of a natural range to walk with such a speed. A walk defines as a walking journey, and the further discussion can be defined as follows:

Given:

Power walking by the Gabriella by every 3 days  

Walking by the Mona by every 5 days  

Both walk on Monday then They both walked together,

after taking LCM of 5 and 3 that is = 15 days

For question a:

When both walk again after the same day is = 15 days

For question b:

"Tuesday" is the weekday that will it be when they walk again on the same day.

Learn more:

brainly.com/question/4546421

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

ffffgggghhhuukufgnjsdhn

Answer:

∞

Step-by-step explanation:

since cos(0) = 1, you have 1/0

Answer:

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Answer:

Step-by-step explanation:

Answer: 0.86

Step-by-step explanation:

Answer:

3rd, y=-1/5x

Step-by-step explanation:

Answer:

=fx+5f

Step-by-step explanation:

=fx+5f

Answer:

Step-by-step explanation: