To solve x2−8x=10 by completing the square, what should be added to both sides?

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

f⁻¹(7) = 3/3

f⁻¹(7) = 1

Answer: Guy above me is right

Step-by-step explanation:

Answer:

Rational. the square root of 3600 is a real, rational number, 60.

Step-by-step explanation:

Answer: Rational

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is an integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

----------------------------------------------------------

Square root of 3600=60

60

It is an integer, which fits the first point

Hope this helps!! :)

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Step-by-step explanation:

For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).

1) y = -0.5t² + 2t + 38

The maximum is at:

t = -2 / (2 × -0.5)

t = 2

The maximum height is:

y = -0.5(2)² + 2(2) + 38

y = 40

The coordinates of the vertex are (2, 40).  That means the missile reaches a maximum height of 40 km after 2 minutes.

2) y = -4.9t² + 12t + 1.6

The maximum is at:

t = -12 / (2 × -4.9)

t = 1.22

The maximum height is:

y = -4.9(1.22)² + 12(1.22) + 1.6

y = 8.95

The coordinates of the vertex are (1.22, 8.95).  That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.

3) y = -0.04x² + 0.88x

The maximum is at:

x = -0.88 / (2 × -0.04)

x = 11

The maximum height is:

y = -0.04(11)² + 0.88(11)

y = 4.84

The maximum height of the tunnel is 4.84 meters.

The maximum width is when y = 0.

0 = -0.04x² + 0.88x

0 = -0.04x (x − 22)

x = 22

The maximum width is 22 feet.

Answer:

15 games

Step-by-step explanation:

9 divided by 0.75 = 12

12 + 3 free games = 15

Answer:

x=3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Answer:

I hope you understood it.

Divide first number by second number:

29 /53 = 0.54716981

Multiply by 100 to get percent:

0.54716981 x 100 = 54.716981%

Round the answer as needed.

Answer:

B

0.388 centigrams :)

Answer:

a. [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

The formula for rate of change is:

[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex]   =  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Your points are (1000, 310) and (3500, 460)

So

[tex]x_{1}[/tex] = 1000

[tex]y_{1}[/tex] = 310

[tex]x_{2}[/tex] = 3500

[tex]y_{2}[/tex] = 460

Plug into the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50

150/50 = 3     2500/50 = 50

so:

[tex]\frac{3}{50}[/tex]

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5= 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

90° im pretty sure is the correct answer

Answer:

D

Step-by-step explanation:

Yw UVU

Answer:

(5.23x + 3.76) - (3.67x - 6.39)

K C C

(5.23x + 3.76) + (-3.67x + 6.39)

1.56x + 10.15

Step-by-step explanation:

Answer:

0 is a rational, whole, integer and real number.

Step-by-step explanation:

0 is a rational, whole, integer and real number.

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]

[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]

Step-by-step explanation:

[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]

[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

2890

Step-by-step explanation:

g(-4) means that we are solving for y when x = 20

y = 8(20)² - 16(20) + 10

y = 8(400) - 320 + 10

y = 3200 - 320 + 10

y = 2880 + 10

y = 2890

Best of Luck!

Answer:

I do not see anything that matches what I got. I got x=14.2

Step-by-step explanation:

5x+9=80

5x=71

x=14.2

Answer:

10.29 meters per second and 10.26 meters per second

Step-by-step explanation:

200/ 19.44 = 10.29

100/ 9.75 = 10.26

Answer:

Option no. 1

Step-by-step explanation:

For the 200 meter race:

his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds

For the 100 meter race:

his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds

Answer:

x⁴ - 3x² - 2x - 2

Step-by-step explanation:

Step 1: Write out expression

(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)

Step 2: Distribute negative

-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2

Step 3: Combine like terms (x⁴)

x⁴ - 3x² - 8x + 6x - 2

Step 4: Combine like terms (x)

x⁴ - 3x² - 2x - 2

Answer:

Darnell is incorrect because negative numbers are different than positive numbers. -4 is greater than -6 because it is closer to 0. Which means that it is closer to the positives. :) The biggest negative number is always going to be less than the smaller negative number. :)

Step-by-step explanation:

Answer:

Darnell is incorrect because she is thinking about positive numbers instead of negative numbers.

Step-by-step:

-6  -5  -4  -3  -2  -1  0  1  2  3  4  5  6

Answer:

Then it's probably D. Right-Skewed

If the jeans aren't bought at all, or as much as the other brands, then the store owners would have no choice but to lower prices. It's either that option or they would return the merchandise (if possible) or simply throw away the jeans. Setting the right price is more or less trial and error. There are mathematical ways to make an educated guess, but to be fair, there are a lot of factors in play that make trial and error more effective.

For example, if the jeans start at $100 and no one buys them for a week, then the owner may reduce the cost to $75 and see if the 25% discount is effective or not. If people buy, then the price may stay there. If not, then the price may come down even further. The process is continued indefinitely. On the flip side, if demand skyrockets, then prices would likely go up.

the price of the jeans is likely to be affected by the low demand resulting from the high cost.

Based on the given information, it can be inferred that the price of the jeans is not aligned with the market demand due to its high cost relative to other brands. In this scenario, several outcomes are possible:

1. Decrease in Price: If the jeans are not selling well due to their high cost, the brand might experience a decrease in demand. To stimulate sales, the brand may need to lower the price of the jeans to make them more affordable and competitive. This price adjustment aims to attract customers who were previously deterred by the high cost.

2. No Change in Price: The brand may choose to maintain the current price despite the low demand. This decision can stem from factors such as maintaining the brand image or relying on a niche market that is willing to pay a premium for the product. However, in such a situation, the brand may need to focus on marketing and branding efforts to emphasize the unique qualities or benefits of the jeans to justify their higher price.

3. Increase in Price: It is less likely that the brand would increase the price of the jeans if they are not selling well due to their high cost. Increasing the price further would likely deter even more customers and exacerbate the issue. However, if the brand has a particularly strong brand image or a highly loyal customer base that is willing to pay a premium, a price increase may be feasible in rare cases.

In summary, the price of the jeans is likely to be affected by the low demand resulting from the high cost. The brand may choose to decrease the price to boost sales or maintain the current price while focusing on marketing efforts to highlight the unique value proposition of the jeans. An increase in price is less probable given the low demand.

Learn more about price here

https://brainly.com/question/32388846

#SPJ2

Correct clear question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5

Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed

What parameter is being used? A population proportion B population mean C standard deviation

Answer:

A) C - Two tailed hypothesis

B) B - Population mean

Step-by-step explanation:

We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5

Alternative hypothesis; H_1: μ ≠ 5

From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.

From the hypothesis, we see that the symbol μ is being used.

In statistics, μ is generally used as a symbol to denote population mean.

Thus, parameter being used/tested is population mean

Given :

A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.

On day zero the population consists of five members.

Differential equation : [tex]\dfrac{dP}{dt}=0.4142P[/tex]

To Find :

The population size after eight days.

Solution :

Rate of growth , R = 0.4142 .

Now ,

Differential equation is :

[tex]\dfrac{dP}{dt}=0.4142P\\\\P_n=Ce^{0.4142n}[/tex]

For n = 0 .

[tex]5=C(1)\\C=5[/tex]

So ,the relation is [tex]P_n=5e^{0.4142n}[/tex] .

Putting n = 8 .

[tex]P_8=5e^{0.4142\times 8}\\\\P_8=137.42[/tex]

Hence , this is the required solution .

Answer:

C

Step-by-step explanation:

The slope-point formula is  y-y₁=m(x-x₁). So if you plug in your information you get C.