Gabrielles age is three times Mikes age. The sum of their age is 88 what is Mikes age?

Answer:

6x + 8 = 32

6(x + 8) = 32

Step-by-step explanation:

Hope this helps

Answer:

Among the four choices, [tex](x + 5)[/tex] is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let [tex]a[/tex] denote some constant. A linear factor of the form [tex](x - a)[/tex] is a factor of a polynomial [tex]f(x)[/tex] if and only if [tex]f(a) = 0[/tex] (that is: replacing all [tex]x[/tex] in the polynomial [tex]f(x) \![/tex] with the constant [tex]a\![/tex] would give this polynomial a value of [tex]0[/tex].)

For example, in the second linear factor [tex](x - 2)[/tex], the value of the constant is [tex]a = 2[/tex]. Verify that the value of [tex]f(2)[/tex] is indeed [tex]0[/tex]. (In other words, replacing all [tex]x[/tex] in the polynomial [tex]f(x) \![/tex] with the constant [tex]2[/tex] should give this polynomial a value of [tex]0\![/tex].)

[tex]\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}[/tex].

Hence, [tex](x - 2)[/tex] is indeed a linear factor of polynomial [tex]f(x)[/tex].

Similarly, it could be verified that [tex](x - 5)[/tex] and [tex](x + 2)[/tex] are also linear factors of this polynomial function.

Rewrite the first linear factor [tex](x + 5)[/tex] in the form [tex](x - a)[/tex] for some constant [tex]a[/tex]: [tex](x + 5) = (x - (-5))[/tex], where [tex]a = -5[/tex].

Calculate the value of [tex]f(5)[/tex].

[tex]\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}[/tex].

[tex]f(5) \ne 0[/tex] implies that [tex](x - (-5))[/tex] (which is equivalent to [tex](x + 5)[/tex]) isn't a linear factor of this polynomial function.

Answer:

question incomplete.

Step-by-step explanation:

[tex](2^{\frac{1}{2}})^n=\frac{2^x}{2^{3y}}\\2^{\frac{1}{2}n}=2^{x-3y}\\\frac{n}{2}=x-3y\\n=2x-6y[/tex]

Answer:

The variable of interest is the proportion of flips that land the correct way when flipped randomly.

The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Step-by-step explanation:

Variable of Interest:

Proportion of flips that land the correct way when flipped randomly.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Necessary conditions:

The necessary conditions are:

[tex]n\pi \geq 10[/tex]

[tex]n(1-\pi) \geq 10[/tex]

You observe 2180 random, independent flips, and 325 land the correct way.

This means that [tex]n = 2180, \pi = \frac{325}{2180} = 0.149[/tex]

Necessary conditions

[tex]n\pi = 2180*0.149 = 325 \geq 10[/tex]

[tex]n(1-\pi) = 2180*0.851 = 1855 \geq 10[/tex]

The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167[/tex]

The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).

Answer:

(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)

Answer:

22 gallons

Step-by-step explanation:

280 miles / 56 gallons = 5 miles per gallon

110 miles/5 mpg = 22 gallons

Answer:

B

Step-by-step explanation:

B because the number line goes from negative 6, -2, and x must be greater than negative 6 but less than or equal to 2

Answer:

WHAT ARE THE STATEMENTS??????????????

Step-by-step explanation:

Answer:

In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.

Step-by-step explanation:

you always subtract or add first and i got it right on edge 2021

Answer:

Option B, y = 2 Superscript x + 2 Baseline + 3

Step-by-step explanation:

I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.

Hope this helps Bye =)

The exponential function is given by [tex]y=(\frac{1}{2})^{x-3} +1[/tex]

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

The exponential function is given by [tex]y=(\frac{1}{2})^{x-3} +1[/tex]

From the point (0, 9):

[tex]y=(\frac{1}{2})^{0-3} +1=9[/tex]

Also at point (3, 2):

[tex]y=(\frac{1}{2})^{3-3} +1=2[/tex]

Find out more on Exponential function at: https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

It’s 20

Answer:

Revenue = 1020x  +  118y

Step-by-step explanation:

Revenue = 1020x  +  118y

This is an important question to understand. You will use it very shortly when you try and solve 2 equations with 2 unknown. Just to show you what that means, Suppose the revenue is

Revenue = 5808

and 11 items total were sold

x + y = 11                          Total number of items sold

1020x + 118y= 5808        Revenue

is the kind of problem you will be solving.

Step-by-step explanation:

a computer sell for $1020

x computer will sell for $1020x

a hard drive sell for $118

y hard drive will sell for $118y

The revenue equals $1020x + $118y

Answer:

8.31

8.3

8.301

8.03

8.031

I think that's the answer.. not sure th

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

Answer:

Graph using a table of values.

x      y

-2    -6

-1      -1

0       4

1         9

2       14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hey niy

Answer:

m∠4 = m∠1 + m∠3

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of its two opposite interior angles

Now, examining the given triangle, we can note that:

∠4 is an exterior angle

∠1 and ∠3 are its two opposite interior angles

Based on the givens and the above theorem, we can conclude that:

m∠4 = m∠1 + m∠3

Hope this helps :)

Answer:

her answer is correct please

Answer:

x > -20

Step-by-step explanation:

-x < 20

When dividing by negative numbers, flip the inequality.

x > -20

inclusive -> open circle

greater than -> to the right

open circle at -20 going to the right

Answer:

2x+6y=-2 x is -3y-1 and 5x-3y=31 x is 3y+31/5

Step-by-step explanation:

5x−3y=31

Add 3y to both sides.

5x=31+3y

The equation is in standard form.

5x=3y+31

Divide both sides by 5.

5

5x =  5

3y+31

​Dividing by 5 undoes the multiplication by 5.

x=  5

3y+31

​

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that [tex]n = 17[/tex]

She feels that there is a 50% chance of selling any one property during a week.

This means that [tex]p = 0.5[/tex]

Compute the probability of selling less than 3 properties in one week.

This is

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]

[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]

[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]

0.0011 = 0.11% probability of selling less than 3 properties in one week.

The next point she plots on the graph is (2,9)

The function is given as:

f(x) = 25(Three-fifths)^x

Rewrite properly as:

f(x) = 25(3/5)^x

The first point has an x value of 1.

So, the next would be x = 2

This gives

f(2) = 25(3/5)^2

Evaluate the product

f(2) = 9

So, we have:

(2, 9)

Hence, the next point she plots on the graph is (2,9)

Read more about exponential functions at:

https://brainly.com/question/11464095

#SPJ9

Answer:

15/22

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Hey There!

So remember opposite the sides given are corresponding with its opposite angle

So the corresponding angle of segment QO is angle P and the corresponding angle of segment PQ is angle O

Thus meaning that angle P and angle O are equal to 34

Now we want to find angle Q

So remember all of the angles in a triangle add up to equal 180

so we subtract the given angles (34 and 34) from 180 to find the missing angle (angle Q)

180-34-34=112

So we can conclude that angle Q = 112

~TheMathWiz

Answer:

Your answer is in the Step by Step

Step-by-step explanation:

4=32x

We move all terms to the left:

4-(32x)=0

We move all terms containing x to the left, all other terms to the right

-32x=-4 x=-4/-32 x=1/8

Answer:

the answer is x=1/8

in the decimal form, it's x=0.125

Step-by-step explanation:

isolate the variable by dividing each side by a factor that doesn't contain the variable

hope this helps.

may I  please get a brainliest:)

Answer:

Step-by-step explanation:

perimeter = 4(10x) = 40x units

if x = 12, perimeter = 480x units

Answer:-257.8

Step-by-step explanation:

Answer:

The answer is "78.25%"

Step-by-step explanation:

Given:

[tex]\mu =20\\\\\sigma=1.4[/tex]

[tex]p(18.48<x<22.63)=p(\frac{18.48-20}{1.7}<\frac{\bar{x}-\mu}{\sigma}<\frac{22.63-20}{1.4})\\\\[/tex]

                                 [tex]=p(\frac{-1.52}{1.7}<Z<\frac{2.63}{1.4})\\\\=p(-0.89<Z<1.87)\\\\[/tex]

                                 [tex]=p(Z<1.87)-p(Z<-0.89)\\\\[/tex]

                                 [tex]=0.969258-0.1867329\\\\=0.7825251\\\\=78.25 \%[/tex]