Solve using substitution. y = 1
3x − 7y = 8

Answer:

37

Step-by-step explanation:

i just know

Answer:

Yes, because all integers without an infinite set of digits (e.g. Pi or Infinity) are rational.

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

-2

Step-by-step explanation:

using rise over run, we can see that the rise is two and the run is 1. that makes this 2/1 or 2. but since the line is deacreasing from left to right the slope is negative. this means that the slope is -2. hope this helped. :)

Answer:

Solution

here,

X=?

now,

X+90+42=180 (Sum of angles of Triangle)

or, X=180-132

or, X=48

Hence the value of X is 48 degrees

Answer:

#2: 26   #3:  68  #4) 19   #5) 23

Step-by-step explanation:

#2) So, 208 divided by 8 = 26

#3)  92 - 24 = 68

#4)   76(.75) = 57, 76-57 = 19

#5)   31 - 8 = 23

Hope i helped.

Using area of the rectangle, we can find that the new flower garden will be 13m in length (greater dimension).

The formula for calculating a rectangle's area can be used to determine how much space the rectangle takes up within its perimeter. Multiplying the length by the width yields the area of a rectangle (breadth).

As a result, the following formula can be used to determine the area of a rectangle whose length and breadth are "l" and "w," respectively. The rectangle's area is L × W. A rectangle's area is therefore equal to length * width.

Now here the dimensions of the rectangle are, l = 13m and b, = 9m.

Area of the rectangle is 13 × 9 = 117m².

Now the area of the rectangle is increased to 221m².

So, when we increase the length from 13 m to 17m and the breadth from 9m to 13m, we get area = 17 × 13 = 221m².

Therefore, length of the new garden will be 17m long.

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Answer:

A) \(1<x<\infty\)

Step-by-step explanation:

Given:

A graph of a function.

When we analyze the given graph, it is of a parabola.

To find:

The interval of values of \(x\) where the function is increasing.

Solution:

First of all, let us learn about the meaning of increasing and decreasing functions.

1. A function \(y=f(x)\) is known as increasing  in an interval \(a<x<b\) when

Value of y keeps on increasing when we move from the value of x from a to b.

2. A function \(y=f(x)\) is known as decreasing  in an interval \(a<x<b\) when

Value of y keeps on decreasing when we move from the value of x from a to b.

On analyzing the given graph , we can see that the graph is decreasing on the interval: \(-\infty<x<1\)

and is increasing on the interval: \(1<x<\infty\)

When we choose from the options,

The correct answer is option A) \(1<x<\infty\)

Answer:

Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

All apply values to the equation are:

0 ⇒ A

π/3 ⇒ B

5π/3 ⇒ E

What is an equation?

A formula known as an equation shows the equality of two expressions by joining them with the equals sign =.

Main Body:

∵ 0 ≤ x ≤ 2π is the domain for angle x

∴ 0 ≤x/2  ≤ π is the domain of angle

∵ sin(x/2) + cos(x) - 1 = 0

→ To solve the equation we should use the rule of cosine double angle

∵ cos(x) = 1 - 2 sin²(x/2)

→ Substitute it in the equation above

∴ sin(x/2) + (1 - 2 sin²(x/2) = 0

∴ sin(x/2) + 1 - 2 sin²(x/2) = 0

→ Add the like terms

∴ sin(x/2) + (1 - 1) - 2 sin²(x/2) = 0

∴ sin(x/2) - 2 sin²(x/2) = 0

→ Take sin(x/2) as a common factor

∴ sin(x/2) [1 - 2sin(x/2)] = 0

→ Equate each factor by 0

∵ sin(x/2) = 0

→ The value of sine equal zero on the x-axis

∴ x/2 = 0, π, 2π

∵ The domain of x/2  is 0 ≤ (x/2) ≤ π

∴  x/2 = 0 and π ⇒ 2π refused because ∉ the domain

→ Multiply both sides by 2 to find x

∴ x = 0 and 2π

∵ 1 - 2sin(x/2) = 0

→ Subtract 1 from both sides

∴ - 2sin(x/2) = -1

→ Divide both sides by -2

∴ sin(x/2) = 1/2

→ The sine is positive in the 1st and 2nd quadrants

∴ (x/2) lies on the 1st OR 2nd quadrants

∵ (x/2) = sin⁻¹(1/2)

∴ (x/2) =  π/6 =  ⇒ 1st quadrant

→ Multiply both sides by 2

∴ x = π/3

∵ (x/2) = π -π/6  = 5π/6 ⇒ 2nd quadrant

→ Multiply both sides by 2

∴ x = 5π/3

∴ The values of x are 0,π/3 , 5π/3 , 2π

Hence  apply values are:

0 ⇒ A

π/3⇒ B

5π/3⇒ E

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Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

as u can see the pattern is going up by 7.

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

the second one i think sorry if im wrong

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Slope is rise over run or the change in y over change in x. So to find the slope count the difference from one point to the next, for example (0,4) and (1,1). In this case, the y-value decreases by 3, so -3, and the x-value increases by 1, so +1. Which would be -3/1 or just -3. One way to visually check is to remember that slopes less than -1 or greater than 1 make the line steeper and negative slopes make the graph decrease from left to right.

The area in square inches of triangle is 36.75.

Given,

∠A ≅ ∠P

Tan A = tan P

6/8 = x/14

X= 21/2

Area = 1/2 * 7*21/2

= 36.75 square

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base. Heron's formula, formula credited to Heron of Alexandria (c. 62 ce) for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Hence, the area in square inches of triangle will be 36.75

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Answer:

he shortest distance from the point E to a side of square ABCD is 0.293

Step-by-step explanation:

The question parameters are

Shape of figure ABCD = Square

Point E lies on the diagonal line AC

The length of the segment AE = 1

Therefore, we have;

Length of AC = √(AB² + CD²) = √(1² + 1²) = √2

Hence, the point E is closer to the point C and the closest distance to a side   from E is the perpendicular from the point E to BC at point E' or to CD at poit E'' which is found as follows;

AC is a bisector of ∠DAB, hence;

∠DAC = 45° = ∠CAE'

EE' = EC × cos(45°)

EC = AC - AE = √2 - 1

Therefore;

EE' = (√2 - 1) × cos(45°) = (√2 - 1) × (√2)/2 = 1 - (√2)/2 = 0.293

Hence, the shortest distance from the point E to a side of square ABCD = 0.293.

Answer:

both yes

Step-by-step explanation:

from my understanding an order pair means the x values from all must never match so

Answer:

no is not pairs function

The percent of decrease in the number of gallons of water will be: 20.

Suppose the value of which a thing is expressed in percentage is "a'

Let the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), therefore we will first divide the whole part in 100 parts then; we multiply it with b so we collect b items per 100 items(that is exactly what b per cent means).

Given that Tanique used 1,500 gallons of water to fill the swimming pool. He uses 1,200 gallons of water to fill his pool.

Therefore, the percent of decrease in the number of gallons of water will be;

1,500 - 1,200 = 300

Since; 300 = 20%.

Hence, the percent of decrease in the number of gallons of water will be: 20.

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Step-by-step explanation:

lookup-G Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 4/5 and center of dilation (0, 0)

Answer:

Total net earnings = 80+15(x-8)

If Daisy works 13 hours, she will be paid $155.

Step-by-step explanation:

Let Daisy works for x hours a day

She is paid $10 per hour for the first 8 hours she works in a day.

So, pay for the first 8 hours =10\times8=80 dollars

For every extra hour she works, she is paid 1.5 times her hourly wage.

The number of hours worked over 8 hours is given by = x-8

So, pay for the hours worked over 8 hours = 15(x-8) dollars

Total net earnings = 80+15(x-8)

And when x = 13

The pay is : 80+15(13-8)

= 80+15(5)

= 80+75 = 155 dollars

Answer:

1) y = 15(x-8) + 80

2) $155

Step-by-step explanation:

First blank:

use the linear expression form: y = mx + b

If Daisy is working more than 8 hours, (since the problem says x > 8), then she is getting $10 per hour guaranteed, which is $80 overall. So 80 will be our constant term, b

for every hour after 8, she is being paid 1.5 x 10, which is $15. This is our slope term, m.

So our expression is: y = 15(x-8) + 80

The reason we use x-8 instead of just x, is because x is the number of hours she works, but she will only be paid 15 bucks/hour when she works after 8 hours. So we need to subtract 8 from x to get the number of hours she works after the minimum 8.

Second Blank:

If Daisy works 13 hours, just replace x with 13 in our formula:

y = 15(x-8) + 80

y = 15(13-8) + 80

y = 15(5) + 80

y = 75 + 80

y = $155

If she works for 13 hours, she gets paid $85

Hare Krishna! :)

Answer: y=-3x-5

Step-by-step explanation:

(0,-5)   (-1,-2)

\(\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}\)

x₁=0     x₂=-1     y₁=-5    y₂=-2

\(\displaystyle\\\frac{x-0}{-1-0}=\frac{y-(-5)}{-2-(-5)} \\\\\frac{x}{-1} =\frac{y+5}{-2+5} \\\\-x=\frac{y+5}{3}\)

Multiply both parts of the equation by 3:

\(-3x=y+5\\\\-3x-5=y+5-5\\\\-3x-5=y\)

\(Thus,\ y=-3x-5\)

a)11cm

b)25cm

you do 44cm divide by 4 which equals to 11

To answer this question, we need to follow the steps given to us. First, we need to draw the graph of the function f(x) = 2^x+3.

To do this, we can start by making a table of values and plotting points on the coordinate plane.

x | f(x)
--|-----
-2 | 1/8
-1 | 1/4
0 | 1
1 | 8
2 | 11
3 | 16

Once we have a few points plotted, we can connect them with a smooth curve to get the graph of f(x) = 2^x+3.

Next, we need to translate the graph down 4 units and draw the new graph. To do this, we simply subtract 4 from the function. So the new function is g(x) = 2^x-1.

We can repeat the process of making a table of values and plotting points to get the new graph.

x | g(x)
--|-----
-2 | 1/8 - 1
-1 | 1/4 - 1
0 | 1 - 1
1 | 8 - 1
2 | 11 - 1
3 | 16 - 1

Again, we can connect the points with a smooth curve to get the new graph.

Finally, we need to find the equation of the new graph. We already know that the new function is g(x) = 2^x-1, so that is the equation of the new graph.

In summary, we first drew the graph of f(x) = 2^x+3, then translated it down 4 units to get the new graph of g(x) = 2^x-1. The equation of the new graph is g(x) = 2^x-1.

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The linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)

6x + 2y = 60 (the equation representing the total cost of Rew)

and the solution would be x = 8, y = 6.

What is a system of linear equations?

A system of linear equations is a set of two or more linear equations that describe a relationship between multiple variables. The variables in each equation are related to each other, and the solution of a system of linear equations is the set of values that satisfy all of the equations in the system.

In this case, since Kent and Rew each bought the same amount of boondins and hopts, we can use the same variable names (x for boondins and y for hopts) for both of them. We can use this information to write two equations to model the relationship between the amounts of boondins and hopts that Kent and Rew bought:

4x + 5y = 62 (the equation representing the total cost of Kent)

6x + 2y = 60 (the equation representing the total cost of Rew)

This system of linear equations is called a system of two equations in two variables.

Hence, the linear equations would be
4x + 5y = 62 (the equation representing the total cost of Kent)

6x + 2y = 60 (the equation representing the total cost of Rew)

and the solution would be x = 8, y = 6.

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The words that correctly match these definitions are X-coordinate, Y-coordinate, coordinate plane, quadrant, X-axes, Y-axes, ordered pair, and origin.

All the concepts presented are related to coordinate planes, which are used to visually represent lines, points, etc. by considering a vertical (y-position) and a horizontal position (x-position).

These are numbers that tell you how to move on an axis, this includes the x and y coordinates.

This refers to one out of the four sections a coordinate plane is usually divided into.

A plane that results from the intersection of a y and x-axis.

This describes a horizontal (x) or vertical (y) line that intersect to form a coordinate plane.

Two numbers, one from each axis that describe a specific location in the plane.

This refers to the position 0,0 in a coordinate plane.

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Answer: D

Step-by-step explanation:

A seems complicated and doesn’t make an sense while D is simple