The points (7, 3) and (7, 5) are both in the solution region of the inequality x – 2y < 3. Compute x – 2y for both of these points.Which point comes closest to satisfying the equation x – 2y = 3? That is, for which (x, y) pair is x – 2y closest to 3?

Answer:

599, 123.72 but am not really sure from that answer

Answer:

599,000

Hope this is also a correct answer...

Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

\(\sqrt[3]{x^2}\)

Step-by-step explanation:

The rule of exponents says that we must use subtraction for \(\frac{5}{6}\) and \(\frac{1}{6}\) since we are dividing.  

Thus, we have \(\frac{x^\frac{5}{6} }{x^\frac{1}{6} }\\\\\frac{5}{6}-\frac{1}{6}=x^\frac{4}{6}=x^\frac{2}{3}\)

When dealing with fractions and radicals, we can find the simplest radical form by using the saying \(\frac{exponent}{index}\)

Thus we have \(\sqrt[3]{x^2}\)

Answer:

y = 1/3x + 2

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

y - intercept = b = 2 (point of intersection of the y-axis)

m = slope

Slope = Change in Y/Change In X

You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3

Equation : y = mx + b

Equation : y = 1/3x + 2

-Chetan K

Answer:

Step-by-step explanation:

Equation : y = mx + b

Equation : y = 1/3x + 2

Answer:

3.94

Step-by-step explanation:

3.944     rounded to nearest hundredth  = 3.94    becuase the thousandth digit is <5  you do not change the hundredth

Answer:

Step-by-step explanation:

The first two questions are answered here

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:

Complementary angles means sum of angles must to 90 degrees.

Supplementary angles means sum of angles must be 180 degrees.

1.

10 degree + 65 degree = 75 degree

   10 degree + 65 degree ≠ 90 degree

So, 10-degree angle and a 65-degree angle are

not complementary angles.

2.

40 degree + 50 degree = 90 degree

So, 40-degree angle and a 50-degree angle are

complementary angles.

3.

140 degree + 40 degree = 180 degree

So, 140-degree angle and a 40-degree angle are

supplementary angles.

4.

120 degree + 60 degree = 180 degree

120 degree + 60 degree ≠ 90 degree

So,120-degree angle and a 60-degree angle are

not complementary angles

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

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

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Answer:

I dont knowiwdjdhkjwdhjkahdkjsa

Step-by-step explanation:

dhjddgcjkgjkjv

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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Answer:

\(y=-\frac{2}{3}x+2\)

Step-by-step explanation:

The formula for equation of a line is \(y=mx+b\) where m is the slope, b is the y-intercept, and (x,y) can represent any point on the line. We calculate the slope using \(\frac{y_2-y_1}{x_2-x_1}\). We are subtracting the y-coordinates in the numerator and the x-coordinates in the denominator.

\(\frac{0-2}{3-0} = -\frac{2}{3}\)

You can subtract the coordinates of your second point from your first point and you will get the same slope. Just be sure not to mix up the order.

Now that we have our slope, we can either pull the y-intercept off the graph; the line crosses the y-axis as y = 2, or we can solve our equation for the value of b.

We can pick any point on the line to solve for b. It is recommended to use one of the intercepts because either the x or y component will be zeroed out. I will use the point (0,2)

\(y = mx + b\\y = -\frac{2}{3}x +b\\2 = (-\frac{2}{3})(0) + b\\b = 2\)

Now we have all the parts of our equation in slope-intercept form.

\(y = -\frac{2}{3}x +2\)

ANSWER

EXPLANATION

We want to rewrite the expression in simpler exponent form.

To do this, first, separate the numerical terms from the algebraic terms:

Now, apply the following law of exponents:

Therefore, the expression becomes:

That is the answer.

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

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Answer:

the volume of a sphere with a 9m radius is approximately 3053.63 cubic meters.

Step-by-step explanation:

The formula for the volume of a sphere is:

V = (4/3)πr^3

where r is the radius of the sphere and π is a constant approximately equal to 3.14.

Substituting the given radius of 9m into the formula, we get:

V = (4/3)π(9^3)

V = (4/3)π(729)

V = 3053.63 cubic meters (rounded to two decimal places)

Therefore, the volume of a sphere with a 9m radius is approximately 3053.63 cubic meters.

(a) There are 10 units must be sold to maximize profit.

(b) The maximum profit is 480.

what is profit?

A profit is an income that is given to the owner in an efficient market production process in accounting. The owner's primary interest in the income-formation process of market production is profit, which is a measure of profitability. Different profit metrics are frequently employed.

Given:

A company sales x units of a product, its profits P can be determined

using the profit function P(x) = -2x² + 40x + 280       ..(1)

We have to find the maximum profit.

Differentiate equation (1) w.r.t x

     P'(x) = -4x +40            ..(2)

-4x + 40 = 0

        4x = 40

          x = 10

Again differentiate equation (2) w.r.t x

P''(x) = -4 which is negative.

Hence, there are 10 units must be sold to maximize profit.

Now, to find the maximum profit.

Plug x = 10 in equation (1)

P(10) = -2(10)^2 + 40(10) + 280

        = -200 + 400 + 280

P(10) = 480

Hence, the maximum profit is 480.

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Answer:

54.07 inches

Step-by-step explanation:

Given the regression equation :

y = 18.5 + 0.890x

y = pulse rate in beats per minute

x = height

The best predicted pulse rate of a woman who is 65 inches

Put y = 65 in the regression equation :

65 = 18.5 + 0.890x

65 - 18.5 = 0.890x

46.5 = 0.890x

Divide both sides by 0.890

46.5 / 0.890 = 0.890x / 0.890

54.0697 = x

The best predicted pulse rate for a woman wo is 65 inches tall is 54.07 inches

Answer:

\(49\frac{3}{5}\)

Step-by-step explanation:

Answer:

49 3/5

Step-by-step explanation:

First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.

Hope this helps

Answer:

Step-by-step explanation:

To check whether both equations are balanced, we will simplify

6+6 -n =12 - n

Add n to both sides of the equation using additive property

6+6-n+n = 12-n+n

6+6 +0 = 12+0

6+6 = 12 (This gives the other equation)

Since they are both equal, this shows that the equations are balanced

Answer:

7 7/8.

Step-by-step explanation:

o add mixed numbers like these, we first need to convert them to improper fractions, and then add them. Here are the steps to add 5 3/8 and 2 1/2:

Convert the mixed numbers to improper fractions:

5 3/8 = (5 x 8 + 3)/8 = 43/8

2 1/2 = (2 x 2 + 1)/2 = 5/2

Find a common denominator for the two fractions. The least common multiple of 8 and 2 is 8, so we can convert both fractions to have a denominator of 8:

43/8 + 5/2 = (43/8) + (5/2 x 4/4) = 43/8 + 20/8

Add the two fractions with the same denominator:

43/8 + 20/8 = 63/8

Convert the result back to a mixed number:

63/8 = 7 7/8

Answer:

El tanque tardará aproximadamente 48 minutos en llenarse.

Step-by-step explanation:

Podemos encontrar la tasa de llenado del depósito sumando las tasas de flujo de los tres grifos:

Tasa de llenado = 60 + 70 + 80 = 210 litros/minuto

Luego, podemos usar la fórmula:

Tiempo = Volumen / Tasa de llenado

Donde el volumen es 10.080 litros y la tasa de llenado es 210 litros/minuto. Sustituyendo estos valores, obtenemos:

Tiempo = 10.080 / 210 ≈ 48 minutos

Por lo tanto, tardará alrededor de 48 minutos en llenarse el depósito de capacidad 10.080 litros si recibe agua por tres grifos diferentes que arrojan 60 litros, 70 litros, 80 litros cada minuto.

¡Espero que esto ayude! Lo siento si no es así. ¡Si necesitas más ayuda, pregúntame! :]

Answer:

No Solutions

Step-by-step explanation:

Hello!

No matter what number goes into an absolute value bracket, the number always turns into its positive form.

Since this absolute value bracket produces a negative number, there will be no solutions for any values of x.

Therefore, the solution set is No Solutions.

Answer:

-6

Step-by-step explanation:

2 x -3 = -6

1 positive and a negative integer multiplied will get a negative answer

Answer:

y +x and the answer will be xy

Answer:

ohh easy, u commin home yet

Step-by-step explanation:

dad this u?

Step-by-step explanation:

For 1A

2y + 98° = 9y + 7° < being vertically opposite angles >

9y - 2y = 98° - 7°

7y = 91°

y = 13°

For 1B

9y + 7° = 9 * 13° + 7° = 124°

2y + 98° = 2 * 13° + 98° = 124°

The angles which are unknown are also vertically opposite angles so let unknown angles be x then

124° + 124 ° + x +x = 360° { being complete turn }

248° + 2x = 360°

2x = 112°

x = 56°

so all angles are 124° , 124° , 56°, 56°

For 2A

6y - 10 + 6y + 10 = 180° ( being linear pair)

12y = 180°

y= 15°

For 2B

6y - 10 = 6 * 15 - 10 = 80°

6y + 10 = 6 * 15 + 10 = 100°

Hope it will help :)

Step-by-step explanation:

10 points

3

4

Solve the

problem.

What is the

difference?

1

2

=

Your answer

This is a required question

There exists two solutions to the absolute value function |0.5x + 1| = 5.

The absolute value function in this problem is defined as follows:

|0.5x + 1| = 5.

The first solution is obtained as follows:

0.5x + 1 = -5

0.5x = -6

x = -6/0.5

x = -12.

The second solution is obtained as follows:

0.5x + 1 = 5

0.5x = 4

x = 4/0.5

x = 8.

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Answer:

look at the picture i have sent

Answer:

36 - 4c and 2c + 2c - 18 - 18

Step-by-step explanation:

Add all of the 9's Up together and then add all the C's up together and you have your answer. for the second one, just take away half from one answer and make it 4 numbers.