The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

Option c

15

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Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= (2x² - 9x) + (3x - 2) = 2x² - 6x - 2.

Therefore (f + g)(3) = 2(3)² - 6(3) - 2 = -2.

(f - g)(x) = f(x) - g(x)

= (2x² - 9x) - (3x - 2) = 2x² - 12x + 2.

Therefore (f - g)(-4) = 2(-4)² - 12(-4) + 2 = 82.

(g o f)(x)

= g(2x² - 9x) = 3(2x² - 9x) - 2 = 6x² - 27x -2.

(f o g)(x)

= f(3x - 2) = 2(3x - 2)² - 9(3x - 2) = 18x² - 51x + 26.

Answer:

Answer is The range of weights for Greg's pumkins is the least

Step-by-step explanation:

:)

Answer:

y = (x – 6) / -3 = [2 – x/3]

Step-by-step explanation:

y = f(x) = -3x + 6

f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3

Answer:

Step-by-step explanation:

For parallelogram, the opposite sides are equal. Hence

2x + 4 = 6x - 16

Collect the like terms

2x - 6x = -16 - 4

-8x = -20

x = 20/8

x = 5/2

x = 2.5

Hence the value of x is 2.5

Answer:

its 5

Step-by-step explanation:

Answer:

[tex] \frac{28}{12} = \frac{(28 \div4)}{(12 \div 4)} = \frac{7}{3} =\boxed{7:3}✓ \\ [/tex]

A ratio of 28 to 12 can be expressed in simplest form as:

(1) 8:5

(2) 7:3✓

(3) 9:4

(4) 14:9

Answer:

21

Step-by-step explanation:

plug n = 14 into the equation:

[tex]2(14-1)-5\\2(13)-5\\26 - 5\\21[/tex]

Answer:

The price was marked down by 12.58%

Step-by-step explanation:

153.77 is a 12.581011938601% decrease of 175.90.

Percentage of decrease = |175.90 - 153.77|/175.90 = 22.13/175.90 = 0.12581011938601 = 12.581011938601%

Answer: 2/15

Believe me I put the same thing and I got it correct.

Answer:

im sorry if i got this wrong but 89.5

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Let's solve your equation step-by-step.

6−8x=7x−10x−24

Step 1: Simplify both sides of the equation.

6−8x=7x−10x−24

6+−8x=7x+−10x+−24

−8x+6=(7x+−10x)+(−24)(Combine Like Terms)

−8x+6=−3x+−24

−8x+6=−3x−24

Step 2: Add 3x to both sides.

−8x+6+3x=−3x−24+3x

−5x+6=−24

Step 3: Subtract 6 from both sides.

−5x+6−6=−24−6

−5x=−30

Step 4: Divide both sides by -5.

−5x/-5 = -30 /-5

x=6

Answer:

1,000,000

Step-by-step explanation:

1000 x 1000 = 1,000,000

Answer:

1,000,000

Step-by-step explanation

first do 1 times 1 then just add on the zero's from both number and get 1 million

9514 1404 393

Answer:

Step-by-step explanation:

Negative three is less than (<) negative one, so any statement saying otherwise is incorrect. Correct choices are ...

  -3 ≤ -1

  -3 < -1

8.43 has two decimal digits. 0.06 has two decimal digits.

The product of eight.43 and 0.06 can have 2*2 = four decimal digits.

843*6 = 5058

8.43*0.06 = 0.5058

Answer:

None or 1499 + 287 I assume

Answer:

1545 + 287

odd man out

Step-by-step explanation:

Answer:

no solution.

Step-by-step explanation:

2x + 3x + 9 < 5x - 7

5x + 9 < 5x - 7

5x + 9 - 9 < 5x - 7 - 9

5x < 5x - 16

5x - 5x < 5x - 16 - 5x

0 < - 16 - ∅ (no solution).

Answer:

The interest will be $30, the total amount she pays will be $530.

Step-by-step explanation:

500 x 0.06

30 = the interest rate cost

500 + 30 = $530

$530 is the total amount Victoria needs to pay, and the interest rate cost is $30.

Answer:

Option B, There is no correlation between the last digit of phone number and the quiz grade.  

Step-by-step explanation:

The values on the scatter plot are dispersed and hence no best fit curve can be drawn for this data set.

Hence there is no relation between the two variables that is last digit of phone number and the quiz grade.  

Answer:

Yeah what he said

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

110° is the vertically opposite angle of one of the interior angles of the given triangle.

Therefore,

[tex]x \degree + 57 \degree + 110 \degree = 180 \degree \\ \\x \degree + 167 \degree = 180 \degree \\ \\ x \degree = 180 \degree -167 \degree \\ \\ x \degree = 13 \degree \\ \\ x = 13[/tex]

Answer:

She has 50 shirts

Step-by-step explanation:

If 8 is 16 percent then 16/100 = 8/50

Answer:

if 8 shirts equal 16%, that means 1 shirt equals 2%, so she has 50 shirts

Step-by-step explanation:

Answer:

x [tex]\geq[/tex] 5

Step-by-step explanation:

step 1: subtract 6 from both sides

step 2: divide both sides by 7

answer: x [tex]\geq[/tex] 5

interval notation: [5,∞)

Answer:

Is  part, share, or number considered in comparative relation to a whole: Step-by-step explanation: Please Mark Brainliest

Answer:

x < -1

Step-by-step explanation:

if he substituded 0 for x into the inequality, he gets 3>4. then he should notice it is incorrect so the riht way to solve is to use subtracting property of inequality and subtract 4 from both sides and get -1 > x

Answer:

the answer would actually be x< -1 then he should've checked his work by replacing the x with -1

Step-by-step explanation:

hope this helps sorry if it doesn't have a good night/day :) ❤

Answer:

$75

Step-by-step explanation:

If it costs $25 for two hours and we want 6 hours, we simply multiply it by 3 because 6/2 = 3.

$25 * 3 = $75

Answer:

The answer $75

Step-by-step explanation:

you add $25 each 2 hours and it would be $75 simple

Answer:

Let x be the width of the screen and

x + 30 be the length of the screen

Area of the screen = 10384 square feet

=>x(x+30) = 10384

x^2 + 30x = 10384

x^2 + 30x - 10384 = 0

Splitting-

x2+118x - 88x -10384 = 0

x(x+118) -88(x+118) = 0

(x+118)(x-88) = 0

x=-118,88

Since width should be positive,

width = 88 feet

length = 118 feet

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

The y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0) option (B) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a function:

[tex]\rm f(x) = x^2 - 4x-5[/tex]

The above function shows a parabola equation.

For y-intercept plug x = 0 in the function.

f(0) = -5

So the y-intercept is (0, -5)

For the vertex:

[tex]\rm f(x) = (x-2)^2-9[/tex]  (from perfect square trinomial)

[tex]\rm f(x) = (x-h)^2+k[/tex]

(h, k) is the vertex = (2, -9)

For x-intercept:

f(x) = 0

[tex]\rm x^2 - 4x-5=0[/tex]

After factorizing:

(x+1)(x-5) = 0

So the x-intercept will be:

(-1, 0) and (5, 0)

Thus, the y-intercept: (0,-5); vertex point: (2,-9); x-intercepts: (-1,0) and (5,0) option (B) is correct.

Know more about the parabola here:

brainly.com/question/8708520

#SPJ2

The arc length of [tex]y=2x^{\frac32}[/tex] over [0, 1] is given by the integral,

[tex]L=\displaystyle\int_0^1\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx[/tex]

Differentiate y with respect to x using the power rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac32\times2 x^{\frac32-1}=3x^{\frac12}[/tex]

Then the integral becomes

[tex]L=\displaystyle\int_0^1\sqrt{1+\left(3x^{\frac12}\right)^2}\,\mathrm dx=\int_0^1\sqrt{1+9x}\,\mathrm dx[/tex]

Substitute u = 1 + 9x and du = 9 dx :

[tex]L=\displaystyle\int_0^1\sqrt{1+9x}\,\mathrm dx=\frac19\int_1^{10}\sqrt u\,\mathrm du[/tex]

[tex]L=\displaystyle\frac19\left(\frac23u^{\frac32}\right)\bigg|_1^{10}[/tex]

[tex]L=\dfrac2{27}\left(10^{\frac32}-1^{\frac32}\right)[/tex]

[tex]L=\boxed{\dfrac2{27}\left(10^{\frac32}-1\right)}[/tex]