Please explain your answer. Thank you!!

Answer:

x = - 6

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x² = 24 ( multiply both sides by 3 )

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = ± [tex]\sqrt{36}[/tex] ← note plus or minus

x = ± 6

solutions are x = - 6, x = + 6

The smallest solution is x = - 6

ANSWER

The minimum value is -0.8

EXPLANATION

The given

[tex]f(x)=x^2+4.2x+3.6[/tex]

The minimum value is the y-value of the vertex (minimum point).

To find the minimum value of the function, we substitute x=-2 into the function to get;

[tex]f( - 2)=( - 2)^2+4.2( - 2)+3.6[/tex]

[tex]f( - 2)=4 - 8.4+3.6 = - 0.8[/tex]

The minimum value is -0.8

Answer: Observational study

observational studies

Answer:

y = [tex]\frac{1}{5}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{5}[/tex], hence

y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 10, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = [tex]\frac{1}{5}[/tex] x + 8

Tom takes 1 day to clear 1 acre.

To find out how many days it takes Tom to clear 1 acre, we can calculate the rate at which he clears brush in acres per day.

Let's use the given information:

[tex]\frac{2}{3}[/tex]​  acre cleared in 2 days,

​ [tex]1\frac{2}{3}[/tex] acres cleared in 5 days,

[tex]2 \frac{1}{3}[/tex]  acres cleared in 7 days.

First, let's find the rate in acres per day for each interval:

For the first interval:

​[tex]\frac{\frac{2}{3} }{2} = \frac{1}{3}[/tex] acre per day.

For the second interval:

[tex]\frac{1\frac{2}{3} }{5} = \frac{5}{3} \times \frac{1}{5} = \frac{1}{3}[/tex]  acre per day.

For the third interval:

[tex]\frac{2\frac{1}{3} }{7} = \frac{7}{3} \times \frac{1}{7} = \frac{1}{3}[/tex] acre per day.

It appears that the rate at which Tom is clearing brush is consistent at

[tex]\frac{1}{3}[/tex]  acre per day.

Therefore, Tom takes 1 day to clear 1 acre.

Answer:

If you are talk about a line segment, it would contain two points.

If your talking about a ray, it would contain 1 point.

If your talking about just the line, it would contain no points.

Step-by-step explanation:

[tex]\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{\textit{figure A}}{\textit{figure B}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{512}}{\sqrt[3]{343}}\qquad \begin{cases} 512=&2^9\\ &2^{3\cdot 3}\\ &(2^3)^3\\ 343=&7^3 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{(2^3)^3}}{\sqrt[3]{7^3}} \\\\\\ \cfrac{s}{s}=\cfrac{2^3}{7}\implies \cfrac{s}{s}=\cfrac{8}{7}\implies s:s = 8:7\impliedby \textit{ratio of the }\stackrel{sides~and}{perimeters}[/tex]

Answer:

0.67

Step-by-step explanation:

Multiply by .88, he paid $792

Answer:

$792

Step-by-step explanation:

Answer:

Step-by-step explanation:

the day is going to be one because you can't covert hours to days. If it said 24 hours only many days? then the answer will be one because a new day has started.

(if you don't understand then comment)

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The rectangles that make up the net for a prism are six rectangles

two rectangles are L by W ----> 12 cm by 9 cm

two rectangles are L by H ----> 12 cm by 5 cm

two rectangles are W by H ---> 9 cm by 5 cm

Final answer:

The rectangular prism net Darren is painting consists of two 12x5 cm rectangles for the top and bottom, two 9x5 cm rectangles for the front and back, and two 12x9 cm rectangles for the sides.

Explanation:

Darren is working on an art project involving painting a wooden block that is in the shape of a rectangular prism. To understand the net for this prism, we need to describe the rectangles that would make it up when the prism is unfolded into a flat shape.

The net of a rectangular prism is made up of six rectangles, each corresponding to a face of the prism. For Darren's block, which has dimensions of 12 cm in length, 9 cm in width, and 5 cm in height, we can determine the rectangles as follows:

When painting, Darren would treat each of these rectangles as separate sections to ensure complete coverage.

Answer:

See Explanation Below :)

Step-by-step explanation:

To solve a pair linear equations by graphing, you would first need to find the slope and y-intercept of each of the equation and then graph it in a coordinate plane. Then, you would see where the two lines intersect, and the coressponding coordinates for that point will be your solution.

Example:

y = 2x +2

y = x -1

For the first equation we know the slope (m) is 2 becuase y = mx + b, and m is 2. We know that the y intercept (b) is also 2 becuase y = mx + b, and b is 2.

Similarly, for the second equation the slope (m) is 1 and the y-intercept (b) is -1.

When you use this data and plot the two lines, we can see that they intersect on the 3rd quadrant at (-3,-4) which will be your solution. See the attached graph for this example.

Answer:

y = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x - 3y = 4 into this form

Subtract 5x from both sides

- 3y = - 5x + 4 ( divide all terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{4}{3}[/tex] ← in slope- intercept form

with y- intercept c = - [tex]\frac{4}{3}[/tex]

Method 1: Plunging in 0 for x in the equation and solve for y

5(0) - 3y = 4

0 - 3y = 4

-3y= 4

y = [tex]\frac{-4}{3}[/tex]  <<< y - intercept

Method 2: Converting the equation to slope-intercept form ( y = mx + b) and see what b is (that is the y-intercept). Do do this isolate y

-3y = 4 - 5x

y = [tex]\frac{-4}{3} +\frac{5}{3} x[/tex]

[tex]y = \frac{5}{3} x- \frac{4}{3}[/tex]

b = [tex]\frac{-4}{3}[/tex]  <<< y - intercept

Y- intercept : (0, [tex]\frac{-4}{3}[/tex])

Hope this helped!

Answer:

answer is b

Step-by-step explanation:

The Scale factor is 2.

A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance to the space in Euclidean space.

Given

in pre -- image sides are 4, 5, 3

in the image, the sides are 4(2), 5(2), 3(2)

The scale factor is 2.

To know more about dilation refer to :

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Answer:

33 degrees

Step-by-step explanation

I used arcos, ∠A = arccos((a2 + b2 - c2)/2ab)

= 0.5795 rad = 33.203° = 33°12'11"

b, 33 degrees is correct

Your answer is B. 0.075 m

The answer is B I think

Answer:

D :If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

If 4x + 12 ≠ –4, then 3x + 7 ≠ −5. Then the correct option is D.

If the statement is: p ⇒ q

Then the Contrapositive statement will be: ~q ⇒ ~p

p: 3x + 7 = –5 q: 4x + 12 = –4

The value of x in both cases is the same. Then the p and q are converses with each other.

If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

Then the correct option is D.

More about the contrapositive link is given below.

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Answer:

73.92 miles

Step-by-step explanation:

Formula for calculating distance = speed × time

Rate/speed of cyclist from city A = ( x - 3 ) mph , Time Taken = 5 Hours

Rate/speed of cyclist from city B = x mph

If Cyclist from B had started moving 30 minutes later

Time Taken by cyclist from B = 4.5 Hours

If B had started 30 minutes later, then the two cyclist would have met 31.8 miles from A.

distance covered by cyclist from A = 31.8

Solution:

For city A:

distance = speed × time                                                

31.8  = ( x - 3 ) × 5     ⇒   [tex]\frac{31.8}{5}[/tex] = x - 3

6.36 = x - 3    ⇒   x = 6.36 + 3   ⇒    x = 9.36 mph

For city B:  

distance =  speed × time

              =  9.36 × 4.5

              =  42.12 miles

Distance between A and B = 31.8 + 42.12

                                             = 73.92 miles

Answer: x=8

Step-by-step explanation: Since we know that segment AB and BC are the same measure indicated by the black lines running perpendicular to the lines in triangle themselves, we know that angle A and angle C are the same measure. This means we know this equation... Solve this to complete step 1...

69°=(9y-3)°

If you solve for y, you should get 8. This means that y=8. In knowing that a triangle's interior angles add up to 180°, we know that Angle B must be... Solve this equation for step 2...

∠B=180°-(∠A+∠C)

If you solve to find angle B, you should get that ∠B=42°. Knowing this, we can set up another equation similar to that in step 1 (when we found y knowing the angle) to find x... Solve this equation for your third and final step...  

42°=(5x+2)°

If done step 1 through 3 correctly, you should get x to be equal to... and the final answer... x=8

5- 25

4- 20

2- 10

please give brainliest if correct

Answer:

{0, 4 and -3}

Step-by-step explanation:

f(x)=x^3-x^2-12x can be factored, starting by taking out the 'x' factor:

f(x)=x^3-x^2-12x = x(x^2 - x - 12), and then by factoring the quadratic:

f(x) = x(x - 4)(x + 3) = 0

Then the zeros are {0, 4 and -3}.

Answer:

The zeros are;

x=-3,x=0, and x=4

Step-by-step explanation:

The given polynomial is

[tex]f(x)=x^3-x^2-12x[/tex]

We equate the function to zero to obtain;

[tex]fx^3-x^2-12x=0[/tex]

We factor the GCF to get;

[tex]x(x^2-x-12)=0[/tex]

We split the quadratic trinomial to get;

[tex]x(x^2-4x+3x-12)=0[/tex]

Factor by grouping

[tex]x(x(x-4)+3(x-4))=0[/tex]

[tex]x(x-4)(x+3)=0[/tex]

The zeros are;

x=-3,x=0, and x=4

Answer:

The answer would be 74.

Step-by-step explanation:

g(-4)=-4(-4)+7

g(-4)=16+7

g(-4)=74

f(23)=3(23)+5

f(23)=74

(fog)(-4)=74

Answer:

The answer is 74.

here's how to solve the equation

g(-4)=-4(-4)+7

g(-4)=16+7

g(-4)=74

f(23)=3(23)+5

f(23)=74

(fog)(-4)=74

        hope this helps

Answer:

it is 2/3

Step-by-step explanation:

The correct option that represents the total area of the rectangle using the distributive property is B) (4 x 3) + (4 x 2) = 20 square units.

The correct option that represents the total area of the rectangle using the distributive property is B) (4 x 3) + (4 x 2) = 20 square units.

The distributive property states that when you multiply a number by a sum or difference of numbers, you can multiply each number individually and then add or subtract the products.

In this case, the rectangle has a length of 4 units and a width of 3 units.

So, the area of the rectangle can be found by multiplying the length by the width, which is 4 multiplied by 3. Then, you add the product of the length multiplied by the width, which is 4 multiplied by 2. This gives us a total area of 20 square units.

Answer:

[tex]\boxed{1) V = 40 000(0.89)^{n}, \text{\$15 746; }\text{2) C) f(x) = 15x - 50 ; 3) }a_{n} = -2^{n}}[/tex]

Step-by-step explanation:

1) Depreciation

The formula for the value V of an asset after depreciation by an annual percentage rate is  

V = P(1 - r)ⁿ

where

P = present value

r = annual percentage rate

n = number of years

Data:

V = 40 000

r = 11 % = 0.11

n = 8 yr

Calculations:

(a) Function model

V= 40 000(1 - 0.11)ⁿ = 40 000(0.89)ⁿ

The function model is [tex]\boxed{ V= 40 000(0.89)^{n} }[/tex]

(b) Future value

V = 40 000(0.89)ⁿ = 40 000 × 0.393 659 = $15 746

In eight years, the truck will be worth [tex]\boxed{ \text{\$15 476}}.[/tex]

2) Profit function

Income from 1 lawn = $15

  Income from x lawns =  15x

Less gas and supplies =         -50        

                 Net income = 15x – 50

The function is [tex]\boxed{f(x) = 15x - 50}[/tex].

3) Geometric series

(a) Calculate the common ratio

a₁ = -2

a₂ = -4

a₃ = -8

a₄ = =16

The ratios of consecutive pairs are

a₄/a₃ = -16/(-8)  = 2

a₃/a₂ =   -8/(-4)  = 2

a₂/a₁ =   -4/(-2)  = 2

All adjacent pairs have the same common ratio r = 2.

(b) Write the formula for the series

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

If a₁ = -2, the formula for the series is

aₙ = -2(2)ⁿ⁻¹ = -2ⁿ

The formula for the series is [tex]\boxed{a_{n} = -2^{n}}[/tex].

Answer:

51200 people

Step-by-step explanation:

Multiply the total number by the corresponding decimal to the percentage desired.

64000*.8=51200

Answer:

Hi,

The correct answer option is C. capital gain.

Step-by-step explanation:

Divided is the money a company pays to its shareholders every year after calculating the profits. A company can decided to distribute its earnings to the shareholders from the stock owned by the members.This income is called the divided income.When this income is specifically from stock divided, its called equity income.When Cassie sold the shares for a higher profit, she obtained a capital gain.The two main ways investors can get returns from stock are through divided and capital gains.

Best of Luck!

Answer:

Step-by-step explanation:

Answer:

-18b^8.

Step-by-step explanation:

To simplify an expression, we combine the elements that are similar (look the same).

So, it we have -20b^8 + 2b^8, we see that there are 2 terms with b^8.  We need to simplify them.

So, we have -20b^8 + 2b^8, that addition leaves -18b^8.

-18b^8 cannot be simplified more.

Answer:

0.25, 25%, or 1/4

Step-by-step explanation:

There are two possibilities for each coin: heads or tails. So the chance of getting heads for the first flip is 50%, or 1/2. To find the probability for both, you multiply 1/2*1/2 and get 1/4.

The probability that both of the coins land on heads up when two coins are flipped is 1/4. This can be obtained by obtaining the possible outcomes and using formula for probability.

The formula of Probability is,

P= number of favorable outcomes/ total number of outcomes

(H,H), (H,T), (T,H), (T,T), that is, the total number of outcome is 4.

that is, the number of favorable outcome is 1.

Hence the probability that both of the coins land on heads up when two coins are flipped is 1/4.

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Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-3y=x-5&\text{subtract x from both sides}\\x+5y=7\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-3y=-5\\x+5y=7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=2\qquad\text{divide both sides by 2}\\.\qquad\qquad y=1\\\\\text{Put the value of y to the second equation:}\\x+5(1)=7\\x+5=7\qquad\text{subtract 5 from both sides}\\x=2[/tex]

The solution of the system of equations is (2, 1).

The elimination method is a process that uses elimination to reduce the simultaneous equations into one equation with a single variable.

The given system of equations  are;

[tex]\rm -3y=x-5\\\\x+5y=7[/tex]

From equation 1

[tex]\rm -3y=x-5\\\\x = -3y+5[/tex]

Substitute the value of x in the equation 2

[tex]\rm x+5y=7\\\\-3y+5+5y=7\\\\2y =7-5\\\\2y=2\\\\y=\dfrac{2}{2}\\\\y=1[/tex]

Substitute the value of y in the equation 1

[tex]\rm -3y=x-5\\\\-3(1)=x-5\\\\-3=x-5\\\\x=5-3\\\\x=2[/tex]

Hence, the solution of the system of equations is (2, 1).

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