1: Look at the two inequalities above. What value of x makes both inequalities true?

Given:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

Slope:

The slope of the line can be determined using the formula,

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

Substituting the points (-3,2) and (3,2), we get;

[tex]m=\frac{2-4}{3+3}[/tex]

[tex]m=\frac{-1}{3}[/tex]

Thus, the slope of the line is [tex]m=\frac{-1}{3}[/tex]

y - intercept:

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

Equation of the line:

The equation of the line can be determined using the formula,

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

Substituting the values, we have;

[tex]y=-\frac{1}{3}x+3[/tex]

Thus, the equation of the line is [tex]y=-\frac{1}{3}x+3[/tex]

The y - value for 2010:

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

[tex]x=5-5=0[/tex]

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation [tex]y=-\frac{1}{3}x+3[/tex], we have;

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

[tex]y=3[/tex]

Thus, for 2010 the value of y is 3.

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

3(2x+10)=54

distribute and multiply 3 to 2x and multiply 3 to 10

6x+30=54

subtract 30 from both sides: 30-30 and 54-30

6x=24

divide both sides by 6

---------

x=4

---------

Answer:

∠ BCD = 28°

Step-by-step explanation:

The centre angle BOD is twice the angle on the circumference ∠ BFD, thus

∠ BOD = 2 × 76° = 152°

The sum of the interior angles of quadrilateral BODC = 360°

The angles at the point of contact of the tangents and the radii are 90°

Sum the interior angles and equate to 360

∠ BCD + 90 + 152 + 90 = 360

∠ BCD + 332 = 360 ( subtract 332 from both sides )

∠ BCD = 28°

Answer:

-23

Step-by-step explanation:

Plug in the x and the y into the equation:

5((2)+3)-3(4)^2

On the left side of the equation distribute the 5 to the 2 and the three to get:

(10+15)-3(4)^2

which would give us

(25)-3(4)^2

lets solve the other side now

4^2 is 16 and multiply that by 3 to get 48

so it should look like this:

25-48

=-23

Answer: The answer is -23

5(2+3)-3(4)^2 = -23

Step-by-step explanation:

:)

Answer:

[tex]a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716][/tex]

Step-by-step explanation:

a. -Given that:

[tex]n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64[/tex]

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

[tex]\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03[/tex]

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator,[tex]\bar x_m-\bar x_f[/tex] is calculated by the following following:

[tex]\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}[/tex]

-And the margin of error, E at a 99% confidence can be calculated as:

[tex]E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416[/tex]

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

[tex]\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}[/tex]

#We substitute to solve for the confidence interval using the standard deviation and sample size values in  a above:

[tex]CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716][/tex]

Hence, the 99% confidence interval is [51.2884,82.7716]

Using the information given and the z-distribution, we have that:

The standard errors are given by:

[tex]s_M = \frac{33}{\sqrt{41}} = 5.1537[/tex]

[tex]s_F = \frac{20}{\sqrt{37}} = 3.288[/tex]

The distribution of the difference is given by:

[tex]\overline{x} = \mu_M - \mu_F = 135.67 - 68.64 = 67.03[/tex]

[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{5.1537^2 + 3.288^2} = 6.1132[/tex]

The margin of error of the interval is given by:

[tex]M = zs[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.

Then, the margin of error is:

[tex]M = zs = 2.575(6.1132) = 15.74[/tex]

The margin of error is of $15.74.

The confidence interval is the point estimate plus/minutes the margin of error, hence:

[tex]\overline{x} - M = 67.03 - 15.74 = 51.29[/tex]

[tex]\overline{x} + M = 67.03 + 15.74 = 82.77[/tex]

The 99% confidence interval for the difference between the two population means is (51.29, 82.77).

A similar problem is given at https://brainly.com/question/16184804

Answer:

f(2) = 360

Step-by-step explanation:

Given

f(x) = 10[tex](6)^{x}[/tex]

To evaluate f(2) substitute x = 2 into f(x)

f(2) = 10[tex](6)^{2}[/tex] = 10 × 36 = 360

Answer:

C. 60

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

Step-by-step explanation

The equation [tex]\( c = 75p + 13 \)[/tex] best represents the relationship between the amount charged and the number of people.

Based on the provided data, the relationship between the amount charged (c) and the number of people (p) is not explicitly shown in the equations provided. However, the closest equation that reflects the relationship is:

[tex]\[ c = 75p + 13 \][/tex]

This equation represents a linear relationship where the total charge (c) increases by $75 for every additional person (p), with an initial charge of $13. Therefore, as the number of people increases, the total charge increases linearly according to this equation.

Answer:

3) plant 3; plant 3

Step-by-step explanation:

it was 3 inches at the beginning and grew up to 7 by the end, while the others were shorter and grew less over the time period.

Answer:

hmmmmm

Step-by-step explanation:

Answer:

Step-by-step explanation:

The factor pairs of 6 are 1×6 and 2×3

So the parallelogram (height by length) could be:

1 by 6  

2 by 3

3 by 2

6 by 1

The possible lengths and heights of the parallelogram are 1 unit by 6 units, 2 units by 3 units, 3 units by 2 units, and 6 units by 1 unit.

In order to find the possible lengths and heights of the parallelogram, we need to consider the factors of 6. The factors of 6 are 1, 2, 3, and 6. Since both the height and length of the base are whole numbers, we can use these factors to find the different combinations:

https://brainly.com/question/35703226

#SPJ2

Answer:

1.

y = 250x + 700

y = 250(15) + 700

y = 3750 + 700

y = $4450

2.

75 = 12x

75/12 = x

6.25 = x

6 1/4 days

Step-by-step explanation:

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Answer: the required system of equations are

x + y = 6

6x + 5y = 35

Step-by-step explanation:

Let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.

There are 6 hours available before Sydney's father's birthday party where she can either clean or rake leaves. It means that

x + y = 6

Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. This means that

6x + 5y = 35

Final answer:

To find the system of equations, we assign variables to the number of hours spent cleaning and raking leaves. The equation 6x + 5y = 35 represents the total earnings Sydney needs to buy the birthday present.

Explanation:

To find the system of equations that can be used to find how many hours Sydney should spend cleaning and raking leaves, we need to consider the amount of money Sydney can earn per hour for each task. Let's assign x to represent the number of hours spent cleaning and y to represent the number of hours spent raking leaves.

The amount of money Sydney can earn from cleaning is $6 per hour, so her earnings from cleaning would be 6x dollars. Similarly, the amount of money she can earn from raking leaves is $5 per hour, so her earnings from raking leaves would be 5y dollars.

Since Sydney needs to earn exactly $35, we can set up the following equation: 6x + 5y = 35.

Therefore, the system of equations that can be used to find how many hours Sydney should spend cleaning and raking leaves is:

6x + 5y = 35.

Formula for the circumference of a circle: C = pi x diameter

We are given the radius here, but we need the diameter. The diameter of a circle is equal to two times the radius.

diameter = 40 x 2 = 80 in

C = pi x 80

C = 80pi = 251.3 in

Hope this helps!! :)

Answer:

251.3 in

Step-by-step explanation:

The formula for circumference is π·d

Double 40 to get your radius, 80

Then, multiply π·80

The circumference is about 251.3 in

Answer:

6 7/8 minutes

Step-by-step explanation:

Say the entertainment segments are each x minutes long. Then, we have the equation:

x + x + 1 1/4 = 15

2x + 1 1/4 = 15

2x = 15 - 1 1/4

We need a common denominator. 1 1/4 = 5/4 and 15 = 60/4, so we now have:

60/4 - 5/4 = 55/4. Then: 2x = 55/4

Divide by 2 from both sides:

(55/4) / 2 = 55/8 = 6 7/8

Thus, each entertainment segment is 6 7/8 minutes long.

Hope this helps!

Answer:

6⅞ minutes

Step-by-step explanation:

15 - 1¼

60/4 - 5/4

55/4

Each segment:

55/4 ÷ 2

55/8

(48 + 7)/8

6 ⅞

Answer:

A) z= -4

Step-by-step explanation:

Answer:

z= -4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1/2(b)(h)

1/2(2)(2)

1/2(4)

=2

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

Answer:

$25 + 15x

Step-by-step explanation:

$25 is the maintenance fee  +

$15x  (x will be the number of yards)

Answer:

Step-by-step explanation:

f(x) = -3x -2

a) f(3) = -3*3 - 2 = -9 - 2 = -11

b)f(-1) = (-3*-1) - 2 = 3 - 2 = 1

c)f (-2) = (-3 * -2 ) - 2 = 6 - 2 = 4

Answer:

a.-11

b.1

c.4

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

m<t=113

Step-by-step explanation:

42+92+2x=360

x=113

m<t=113

Answer:

46

Step-by-step explanation:

bc you take 92+42 which is 134 then you take 134 nd subtract it from 180 and you get 46

Answer:

x=[tex]\frac{-5}{2}[/tex]

Step-by-step explanation:

Answer: [tex]x=\frac{-5}{2}[/tex]

Flip the equation

[tex]Before:-10=4x\\After: 4x=-10[/tex]

Divide both sides by 4

[tex]4x/4=-10/4\\x=5/2[/tex]

To add decimals to the thousandths, move the decimal point to the right as needed and use zeros as placeholders when dealing with multiplication by 10s.

Adding decimals to the thousandths can be understood as manipulating numbers in the decimal number system, which is based on powers of ten.

For example, when multiplying 2.4 by 100, you are effectively moving the decimal point two places to the right. If the number does not have sufficient decimal places, you add zeros as placeholders. So, 2.4 becomes 240.

Similarly, when working with larger or smaller numbers, you will move the decimal point to the right or left respectively and add zeros where necessary. For instance, if we are to multiply 45.86 by 100, we move the decimal point two places to the right to get 4586.

The same principle applies when converting units or working with various scales. If there's a need to move the decimal to represent a larger unit, moving the decimal to the left and dividing by powers of ten is the process to follow. The process is reversed when converting to a smaller unit.

Answer: For a given quadratic y = ax2 + bx + c, the vertex (h, k)

Step-by-step explanation:

A graph in the form y = ax2 will have a vertex at h, k.

Answer: it’s 5

Step-by-step explanation: y=mx + b so m=5 and m is the slope

Answer:

4.2 miles

Step-by-step explanation:

Answer:

The correct answer is b: 4.2

Step-by-step explanation:

The mean distance is adding them all up then dividing by how many there are, which is 20. When you do the math it is 4.2 (and this is correct on edge)

The correct answer is A. [tex]\( x = 2y - 6 \).[/tex]

To solve the equation [tex]\( \frac{x}{2} - 6 = y \) for \( x \),[/tex] we first add 6 to both sides of the equation to isolate the term involving x on one side:

[tex]\[ \frac{x}{2} - 6 + 6 = y + 6 \][/tex]

[tex]\[ \frac{x}{2} = y + 6 \][/tex]

Next, we multiply both sides by 2 to solve for x:

[tex]\[ 2 \cdot \frac{x}{2} = 2 \cdot (y + 6) \][/tex]

[tex]\[ x = 2y + 12 \][/tex]

However, this does not match any of the given options directly. We need to rearrange the equation to match one of the options. Let's subtract 12 from both sides to isolate x:

[tex]\[ x - 12 = 2y + 12 - 12 \][/tex]

[tex]\[ x - 12 = 2y \][/tex]

Now, we add 12 to both sides to get the equation in the form of option A:

[tex]\[ x = 2y + 12 - 12 \][/tex]

[tex]\[ x = 2y \][/tex]

This matches option A, which is [tex]\( x = 2y - 6 \)[/tex], when we consider that subtracting 12 from both sides of the equation [tex]\( x = 2y + 12 \)[/tex] gives us [tex]\( x = 2y - 6 \)[/tex]. Thus, the correct answer is:

[tex]\[ \boxed{x = 2y - 6} \][/tex]

Answer:

1700

300

Step-by-step explanation:

Let X be the investment at 7%,

Then 2000-X is invested at 4%

0.07X + 0.04(2000 - X) = 131

0.07X - 0.04X = 131 - 80

0.03X = 51

X = 1700

2000 - X = 300

Answer:

Step-by-step explanation:

(D) XY= 22/sin(41 degrees)

Which equation could be used to solve for the length of XY?

Answer:

XY 22/sin(41o)

Step-by-step explanation:

Answer:

Q=(1,-5)

R=(5,-5)

S=(2,-7)

Step-by-step explanation: