Solve using substitution

y=1/2x
x+4y=18

Answer:

During WWII, 120,000 Japanese-Americans were forced into camps, a government action that still haunts victims and their descendants. ... The roundups began quietly within 48 hours after the Japanese attacked Pearl Harbor, on December 7, 1941. The announced purpose was to protect the West Coast.

hope this helps.

Step-by-step explanation:

Answer:

7.49

Step-by-step explanation:

1.07x7=7.49

Answer: choice A

f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2

=======================================================

The coefficient in front of the x^2 term tells us how wide or narrow the parabola will be. It turns out that the further the coefficient value is from 0, in either direction, this will make the parabola more narrow.

Notice how 1/4 = 0.25 which is less than |-0.5| = 0.5 meaning that f(x) = (1/4)x^2 is wider than f(x) = -0.5x^2

Then comparing f(x) = -0.5x^2 to f(x) = 1x^2, we see that 0.5 is smaller than 1, so f(x) = -0.5x^2 is wider than f(x) = 1x^2

That is why the order from widest to narrowest is f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2

A graph shown below helps confirm the answer (note the color coding). In figure 1 is the graph of all three functions together. In figure 2, I reflect the second function help show the comparison of why it's the middle-most in terms of how wide it is (it is the orange parabola, which is the reflection of the red parabola)

Final answer:

The question hints at possible arithmetic or sign operation errors Lucia made while solving a system of equations. Pinpointing her exact mistake involves understanding common errors like incorrect handling of negative numbers or arithmetic operations.

Explanation:

The question involves identifying the mistake Lucia made when solving a system of equations. When solving for the value of x, there are various potential errors one could make, such as incorrect addition, subtraction, or misinterpretation of the operation sign. For instance, treating − 2( − 9) as 18 instead of − 18 is a common mistake due to misunderstanding how to handle double negatives in algebra. Similarly, when solving for the value of y, mistaking − 2y for 2y shifts the equation's balance, leading to incorrect solutions.

Lucia's error could stem from a few different places described in the question, but without the specific steps Lucia took, it's challenging to pinpoint the exact mistake. However, common errors to watch out for when solving for x and y in systems of equations include incorrect operations with negative numbers, improper handling of variables, or erroneous arithmetic operations.

Correctly solving a system of equations requires careful attention to each algebraic step, ensuring that operations on both sides of an equation are correctly applied and that signs are properly managed. Seeking to correct mistakes like treating negative signs improperly or misapplying arithmetic operations is essential for accurate solutions.

check the picture below.

The statement which best describes the graph of g(x) is:

                Option: A

    A.  g(x) stretches f(x) vertically by a factor of 2.

We are given a original function f(x) as:

          [tex]f(x)=2\ln x[/tex]

and a transformed function g(x) as:

               [tex]g(x)=4\ln x[/tex]

We know that any transformation of the type:

  f(x) to a f(x) is a vertical stretch by a factor of a if a>1

and a vertical compression if a<1

Here we have:

[tex]g(x)=2\times (2\ln x)\\\\i.e.\\\\g(x)=2f(x)[/tex]

i.e. g(x) is a vertical stretch of f(x) by a factor of 2.

Hi there!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{2-4}{3-(-4)}=\frac{-2}{7}[/tex]

Slope is -2/7

Final answer is -2/7.

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you! :)

:D

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 4) and (3, 2). Substitute:

[tex]m=\dfrac{2-4}{3-(-4)}=\dfrac{-2}{3+4}=-\dfrac{2}{7}[/tex]

Answer:

So, 36 completes perfect square

Step-by-step explanation:

we are given

trinomial as

[tex]x^2-12x+......[/tex]

we can square formula

[tex]a^2-2ab+b^2=(a-b)[/tex]

we can see that middle term is 2ab

so, we will factor middle term in 2ab form

[tex]12x=2\times x\times 6[/tex]

We can see that b is 6

so, if we could add 6^2 , then we will get perfect square

[tex]x^2-12x+6^2......[/tex]

[tex]x^2-12x+36......[/tex]

So, we should add 36

so, 36......Answer

Answer:  The correct option is

(C) 36.

Step-by-step explanation:  We are given to select the value that completes the square or creates a perfect square trinomial for the following incomplete expression :

[tex]E=x^2-12x+?[/tex]

We will be using the following square formula :

[tex]a^2-2ab+b^2=(a-b)^2.[/tex]

Let the required value be represented by c.

We have

[tex]E\\\\=x^2-12x+c\\\\=(x^2-2\times x\times 6+6^2)+c-6^2\\\\=(x-6)^2+c-36.[/tex]

So, for the given expression to be a perfect square trinomial, we must have

[tex]c-36=0\\\\\Rightarrow c=36.[/tex]

Thus, the required value is 36.

Option (C) is CORRECT.

Answer:

Exponential growth; percentage rate of growth is 4%.

Step-by-step explanation:

The function,

[tex]f(x)=3.6.(1.04)^x[/tex]

represents an exponential growth function because the growth factor is greater than 1.

The general form of an exponential growth function is,

[tex]y=a(1+r)^t=(a).(ar)^t[/tex], where 'r' is the percentage rate of growth.

If we compare the given equation with the standard form of the equation we can see that, we have,

[tex]f(x)=3.6(1+0.04)^x[/tex]

Therefore, the percentage rate of growth is = [tex]0.04 \times 100=4\%[/tex] .

Answer:

20/9 sq.feet

Step-by-step explanation:

The width is 4/3 ft because 1/3 times 4 is 4/3 and the length is 5/3 because 1/3 times 5 is 5/3.

Then to find the area you do length times width.

5/3 ×4/3= 20/9 sq. feet

I hope this helps! :)

Answer: 35

Step-by-step explanation: 48 - 13 = 35

Answer:

35 ants left

Step-by-step explanation:

Final answer:

To divide 65.2 by 26, you perform the division to find that 26 goes into 65.2 exactly 2.5 times. Therefore, the answer, when rounded to the nearest tenth, is 2.5.

Explanation:

To divide 65.2 by 26, start with the division process. Place a decimal point directly above the decimal point in the dividend within the answer area. Since 26 does not go into 6, but goes into 65 twice, write 2 above the 5 in the dividend. Multiply 2 by 26 to get 52, and subtract this from 65, which leaves a remainder of 13. Bring down the 2 from the dividend to get 132.

Now, divide 26 into 132, which goes exactly 5 times. Multiplying 5 by 26 gives 130, subtract this from 132 to get a remainder of 2. Because we are left with no more numbers to bring down and our remainder is less than 26, we stop. The answer to 65.2 divided by 26 when rounded to the nearest tenth is 2.5.

Answer:

There is one solution

Step-by-step explanation:

You can tell by looking at it that 2x and 3x are different. Both are obtained once the brackets have been removed. So you will get just one answer.

2(x -1) = 3(x - 4)                  Remove the brackets.

2x - 2 = 3x - 12                  Subtract 2x from both sides.

2x - 2x - 2 = 3x - 2x - 12   Combine

-2 = x -12                           Add 12 to both sides.

-2 + 12 = x -12 +12             Combine

10 = x

Answer:

slope = [tex]\frac{9}{7}[/tex]

Step-by-step explanation:

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (1,6) ← 2 points on the line

m = [tex]\frac{6+3}{1+6}[/tex] = [tex]\frac{9}{7}[/tex]

[tex]3\times9^{x+1}=27^{x-1}\\\\3\times(3^2)^{x+1}=(3^3)^{x-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\3\times3^{2(x+1)}=3^{3(x-1)}\\\\3\times3^{2x+2}=3^{3x-3}\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\3^{1+2x+2}=3^{3x-3}\\\\3^{2x+3}=3^{3x-3}\iff2x+3=3x-3\qquad\text{subtract 3 from both sides}\\\\2x=3x-6\qquad\text{subtract 3x from both sides}\\\\-x=-6\to\boxed{x=6}[/tex]

Answer:

The percent increase is 34.48276%

Step-by-step explanation:

we are given

original price =$2900

new price =$3900

now, we can find change in price

change in price = (new price)-(original price)

change in price =3900-2900

change in price =1000

percent increase = (change in price)/(original price) *100

percent increase is

[tex]=\frac{1000}{2900}\times 100[/tex]

[tex]=34.48276[/tex]

Answer:

x=49

Step-by-step explanation:

First multiply 4 on both sides

(4) x/4+7=14(4)

the fours cross out leaving x by itself

x+17=14(4)

x+7=56

subtract 7 on both sides leaving:

x=49

Hi There!

Step-by-step explanation:

Solve: x/4 + 7 = 14 (x/4 = 1/4x)

Simplify: 1/4x + 7 = 14

Subtract 7 to both sides of the equation: 1/4x + 7 - 7 = 14 - 7

Simplify: 1/4x = 7

Multiply 4 to both sides of the equation: 1/4x * 4 = 7 * 4

Answer:

x = 28

Hope This helps :)

Answer:

Match the following:

1. An angle that measures more than 0° but less than 90°:

Acute angle.

2. Two angles that have a common vertex and side but are not overlapping:

Adjacent angles.

3. Two angles whose sum is 90°

Complementary angles.

4. An angle that measures more than 90° but less than 180°:

Obtuse angle.

5. An angle that measures exactly 90°:

Right angle.

6. An angle that measures exactly 180°:

Straight angle.

7. Two angles whose sum is 180°:

Supplementary angles.

8. The point where two line segments, lines, or rays meet to form an angle:

Vertex.

9. Angles that are opposite from one another at the intersection of two lines:

Vertical angles.

Step-by-step explanation:

Match the following:

1. An angle that measures more than 0° but less than 90°:

Acute angle.

2. Two angles that have a common vertex and side but are not overlapping:

Adjacent angles.

3. Two angles whose sum is 90°

Complementary angles.

4. An angle that measures more than 90° but less than 180°:

Obtuse angle.

5. An angle that measures exactly 90°:

Right angle.

6. An angle that measures exactly 180°:

Straight angle.

7. Two angles whose sum is 180°:

Supplementary angles.

8. The point where two line segments, lines, or rays meet to form an angle:

Vertex.

9. Angles that are opposite from one another at the intersection of two lines:

Vertical angles.

The terms such as acute angle, adjacent angles, complementary angles, obtuse angle, right angle, straight angle, supplementary angles, vertex, and vertical angles are correctly matched with their respective definitions.

The correct matching for the provided terms are as follows:

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The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation in standard form.

[tex]2x-3y=6[/tex]      subtract 2x from both sides

[tex]-3y=-2x+6[/tex]      divide both sides by (-3)

[tex]y=\dfrac{2}{3}x-2[/tex]

Answer:

The correct answer is A. 1.6

Step-by-step explanation:

1.6x50= 80 minutes per song.

1.6x106= 169.6 minutes per song.

If you don't believe me, then grab yourself a calculator, punch the #'s  (above^) in, and you'll get the answer.

Hope this helped ya out! (:

Answer:

ans is C. 0.8 of a minute per song

Step-by-step explanation:

x represents the number of songs he wants to download to his music player,

and y represents the total amount of time, in minutes, it will take him to download the songs.

(100, 80) and (212, 169.6)

subtracting: he DL 212-100=112 songs in 169.6-80=89.6 minutes

so the rate of change = 89.6/112 = 0.8 minute per song

Answer:

- 2      -2.5 and neither.    For the left Panel

A or 40.5 for the right panel

Step-by-step explanation:

Slope AB

Givens

(3,5) (2,7)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

Slope CD

Givens

(10,5) (6,15)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

What are they?

Answer: Neither.

Right Panel

The best way to start this is to plot the triangle. I use Desmos for this. See diagram below

The base is between (-6,8) and (3,8)

The 8s are the same for both points. The distance between -6 and 3 is abs(-6) + abs(3) = 9

That is the base of the triangle.

The height is between (-6,17) and (-6,8)

17 - 8 = 9    

Notice I did not have to use the absolute values. Why not?

Answer: x = 45

====================================

Work Shown

x/y = 10/4

x/18 = 10/4 ... replace y with 18

x*4 = 18*10 ... cross multiply

4x = 180

4x/4 = 180/4 ... divide both sides by 4

x = 45

Final answer:

By cross-multiplying the given proportion x/y=10/4 with y=18, we determine that the value of x is 45.

Explanation:

To find the value of x given that x/y=10/4 and y = 18, we can use the method of cross-multiplication. This method involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other. So, we set up the equation:

[tex]\(\frac{x}{y} = \frac{10}{4}\)[/tex]

Let's substitute y with 18:

[tex]\(\frac{x}{18} = \frac{10}{4}\)[/tex]

We then cross-multiply and solve for x:

[tex]4x = 10 \times 18[/tex]

4x = 180

[tex]x = \frac{180}{4}[/tex]

x = 45

Therefore, the value of x is 45 when y is 18.

The answer is composed of the following two equations

[tex]t_1 = 1[/tex] and [tex]t_n = 6*t_{n-1}[/tex]

both of these two equations combine to help form the full recursive definition

=================================================

Further explanation:

The terms are represented by the letter 't' for short. Since we have more than one term, and because we have only so many letters, this means we stick a number onto the 't' to help label multiple terms. We have t1 as the first term, t2 as the second, etc. The numbers are often show as subscripts like so [tex]t_1, t_2, t_3, \ldots[/tex]

The first term of the list of numbers is 1, so [tex]t_1 = 1[/tex] is what we start with to help set up the recursive definition.

Once we have this starting point, we use it to get to the next term which is 6. This value is 6 times the first value. Therefore, the recursive step is [tex]t_n = 6*t_{n-1}[/tex] basically saying "multiply the (n-1)st term by 6 to get the nth term. Translation:  "whatever the current term is, multiply by 6 to get the next term".

Answer:

-3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Arrange them from smallest x value to largest x value, but keep the values the same.

To calculate the cost of the vegetable oil used by Lucy in three weeks, we need to determine the cost per ounce and then multiply it by the quantity used. In this case, the approximate cost of the oil used is $5.00.

To find out the approximate cost of the amount of vegetable oil Lucy used in three weeks, we first need to figure out how much of the 40-ounce bottle she used. As the question states that she used 65% of it, we can calculate it as follows:

So, the approximate cost for the amount of vegetable oil Lucy used in three weeks is $5.00, rounded to the nearest cent.

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To find the approximate cost for the amount of vegetable oil Lucy used in three weeks, calculate 65% of the total cost of the 40-ounce bottle of vegetable oil, and the approximate cost is $4.99.

To find the approximate cost for the amount of vegetable oil Lucy used in three weeks, we need to calculate 65% of the total cost of the 40-ounce bottle of vegetable oil.

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