Two-thirds of a number subtracted from nine is seven. Find the number.

Answer:

y = 5.60x + 35.80

Step-by-step explanation:

trust

Answer: f(4) = -171

Step-by-step explanation:

      To answer this question, we will solve the function for 4. In other words, we will input 4 into the function and simplify. Don't forget the order of PEMDAS when simplifying.

Given:

     f(x) = -11x² + 5

Input of 4:

     f(4) = -11(4)² + 5

Raise to the power of 2:

     f(4) = -11(16) + 5

Multiply:

     f(4) = -176 + 5

Add:

     f(4) = -171

Answer:

550.4 square units.

Step-by-step explanation:

This problem is easier than it seems.

To find the area of the parallelogram, multiply 11 and 32 to get 352 sq. units

The two semicircles must be equal because the sides of a parallelogram must be equal.

So if you add the semicircles together, you get a circle.

So we're really finding parallelogram+circle.

The area of a circle is [tex]\pi[/tex]x[tex]r^{2}[/tex], and the circle's radius is 8 because the radius is half of the diameter.

[tex]\pi[/tex]≈3.1 because you're rounding to the nearest tenth.

3.1x64=198.4 sq. units

198.4+352=550.4 square units.

The value of f(7) is 9 given that f(x) = |19 - 4x|

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given: f(x) = |19 - 4x|

To find f(7), substitute  x = 7 into f(x) = |19 - 4x|:

f(7) = |19 - 4(7)| = |19-28| = |-9|  = 9

Note: The sign |  | means absolute, the sign of any value inside it will be discarded and only the number is written

Therefore, f(7) is 9

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Answer:

As a product of prime numbers:

420 = 2 × 2 × 3 × 5 × 7

The range of values for the rectangle  length is  20 ≤ y ≤ 30 .

What is a rectangle made of?

The garden is to be rectangular shape.

Let x = width

Let y = length

Set the equations for perimeter and area.

2(x + y) = 100  -----> perimeter

x + y = 50   ------> perimeter

xy = 600   ---->  area

We have two equations to work with.

x + y = 50                eq1

xy = 600                   eq2

Substitute eq1 into eq2.  We can get eq2 in terms of x.

x(50 - x) = 600

-x2 + 50x = 600

-x2 + 50x - 600 = 0

Divide both sides of the equation by -1, so that we have a positive x2.  The goal is to try to use FOIL to factor.

x2 - 50x + 600 = 0

(x - 30)(x - 20) = 0

x = 30         and           x = 20

Next, we plug in these values of x into eq1 to solve for y.

y = 50 - x                     and                y = 50 - x

y = 50 - 30                                        y = 50 - 20

y = 20                                               y = 30

Based on this, the range of values for the length is

20 ≤ y ≤ 30

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Answer:

1/100 or just 1

Step-by-step explanation:

$$$$$$$$$$$$$$$$$$$$$$$$

By simplifying each expression:

−6(3i) (−2i) = -36

2(3 − i)(−2 + 4i) = -4+28i

2i(4 − 5i) = 10+8i

Simplifying each expression step by step:

1. −6(3i)(−2i) =  -6 (-6i²)

= 36 (-1)

= -36

2. 2(3 − i)(−2 + 4i)

= 2 x (-6+12i+2i-4i²)

= -12 +24i +4i - 8i²

= -12 - 8i² +28i

=-12 - 8 (-1) + 28i

= -4+28i

3. 2i(4 − 5i)

= 8i - 10i²

= 8i -10(-1)

= 10+8i

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The values of a and b are 8 and - 9.

Given that:

f(x) = x + a/x + b ........ (1)

f(1) = 0, f(2) = - 3

Putting the value of x = 1 in equation (1). We get,

f(1) = 1 + a/1 + b

f(1) = 1 + a + b ....... (2)

Putting the value of x = 2 in equation (1). We get,

f(2) = 2 + a/2 + b

f(2) = (4 + a + 2b)/2 ........ (3)

Putting the value of f(1) = 0 in equation (2). We get,

a + b = - 1 ......... (4)

Putting the value of f(2) = -3 in equation (3). We get,

=> -3 = (4 + a + 2b)/2

=> -6 = (4 + a + 2b)

=> a + 2b = - 10 ......... (5)

To find the value of a and b we have to solve equations (4) and (5) by elimination method.

So, for that subtract equation (4) from (5).

We got the value of b = - 9.

Then put the value of b in equation (4).

We got the value of a = 8.

Checking the value of a and b satisfies the value of the function's output and input.  

Hence,  the values of a and b are 8 and - 9 respectively.

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The calculation for the plumber's total number of hours worked is 190 = 35 + 50x, where the result is 3.1 hours.

A linear equation is what?

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

It follows that:

Jerald chooses to call a plumber after discovering a problem with his home's drains.

The plumber bills him $35 to visit his home and $50 per hour of work.

Suppose there are x hours in a day:

190 = 35 + 50x

50x = 155

x=3.1 hours

As a result, the answer to the question of how many hours the plumber worked is 190 = 35 + 50x, which is 3.1 hours.

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The number of ribbons needed is 73

The number of ribbons to buy is 109. 5

A function can be described as an expression or rule that explains the relationship between two main variables in an equation.

These variables are called;

We have the expression;

N = 10p + 3

Where 'p' represents the number of presents

N is the number of ribbons

Now, let's substitute the value of p as 7

N = 10(7) + 3

N = 70 + 3

N = 73 ribbons

If 10 feet = 73 packages

15 feet = x

cross multiply

x = 73(15)/10

x = 109. 5 ribbons

Hence, the value is 73

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The correlation coefficient of points is a negative correlation.

The given coordinates are (1, 9), (2, 7), (3, 6), (4, 1), (7, -2),(8, -5) and (10, -8).

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

• A scatter plot with increasing values of both variables can be said to have a positive correlation.

• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.

The given coordinate points are plotted on graph.

From the graph (scatter plot) we can see that, the points have a negative correlation.

Therefore, the correlation coefficient of points is a negative correlation.

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Answer: b

Step-by-step explanation:

Answer:

He will save 1 cent per pound if he buys the Sweet Sugar brand

The sides of the triangle are 150m, 200m and 250m.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: The sides of a triangle are in the ratio of 3:4:5. A man jogged around it 5 times and cover a distance of 3000m.

As man jogged around triangle  5 times and cover a distance of 3000m.

So, the distance for one round is 3000/5 = 600m.

The covered distance is nothing but the perimeter of the triangle.

So, the perimeter of the triangle is 600m.

Let, 3x, 4x, 5x are the sides of the triangle.

⇒ 3x + 4x + 5x = 600

                 12 x = 600

                      x = 50

Therefore,

3x = 3(50) = 150

4x = 4(50) = 200

5x = 5(50) = 250

Hence, the sides of the triangle are, 150m, 200m and 250m.

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Answer:

L

Step-by-step explanation:

Answer:

100 meters every minute

Step-by-step explanation:

d=100(1)

d=100

Hopes this helps please mark brainliest

VZW=64

Step-by-step explanation:

Since the lines are straight the angles are equal. 2x+32=3x+16

Solve this for x.

32=x+16

16=x

Put the value for x (16) in to one of the angle equations

2(16) + 32 = 32 + 32 = 64

Answer:

Let the width be x feet. As length is 3 feet longer, it is x+3 feet. As perimeter is twice of te sum of length and width, it is 2×(x+3+x)=2×(2x+3)=4x+6 feet.

Step-by-step explanation:

Answer:

y = [tex]\frac{2}{3}[/tex] x - 6

Step-by-step explanation:

y - [tex]\frac{2}{3}[/tex] x = - 6 ( isolate y by adding [tex]\frac{2}{3}[/tex] x to both sides )

y = [tex]\frac{2}{3}[/tex] x - 6

Answer:

-7/5 or -1.4

Step-by-step explanation:

The original coordinates are R= (-6,-6) and S = (-4,0)

What is translation?

Translation in mathematics is a property in which we shift each coordinate on a line by a constant value.

We are given that we originally had a segment RS which is reflected over the line y = x and then translated by (x+3, y+4) after this the segment we get the coordinates are R'' (-1,4) and S( -3,-2)

We are asked to find the coordinates of R and S

To find the coordinates we first reverse the process we subtract 3 from both x coordinate and 4 from both y coordinate

Hence we get,

R' = (-1,4)-(3,4)

R' = (-4,0)

And

S' = (-3,-2)-(3,4)

S' = (-6,-6)

Now to find the original coordinates we reverse the coordinates

Hence we get,

R= (-6,-6) and S = (-4,0)

Therefore the coordinates are R= (-6,-6) and S = (-4,0)

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When the statement is rewritten as a conditional statement in if-then form, the option that best describes the hypothesis is B. Two lines intersect at a point

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.

There is a conditional statement. We will not play if it is raining. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), then the statement A implies B is false.

If the original sentence is restated as an if-then conditional statement, the hypothesis is best described as two lines intersecting at a point. As a result, the statement "Two lines intersect at a point" is the correct option (B) and the best option.

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Complete question

If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?

Two lines in a plane intersect at a point

A. Two lines in a plane intersect

B. Two lines intersect at a point

C. A point exists

D. Points are in a plane

From the information, observe that the food and drug Administration is a US government agency that regulates food and drugs for customer safety.

One thing the FDA regulates is the allowable insect parts in various foods.

When wheat is ground into the flour, insects that were in the wheat are ground up as well.

The mean number of insect parts allowed in 100 grams of wheat flour is 75

The FDA takes a random sample of 35 bags of floor for evaluation and finds that their average of 80 insect parts per 100 grams with a standard deviation of 6.3

In this situation use t test for population mean because the population standard deviation is not known.

Hence, the correct option is (2).

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Answer:

Step-by-step explanation: add 4 to cancel out, dive both sides by 3, y=1.3 repeating

Answer:

Step-by-step explanation: You want to figure out how much it costs per ounce. You’ll divide $4.50/18 ounces to get $0.25 per ounce for the 18 ounce bag and $8.80/40 ounces to get $0.22 per ounce for the 40 ounce bag. The 40 ounce bag is cheaper per ounce.

Answer:

x + 1

Step-by-step explanation:

75+n2+n3...+..77..+..n99++

Difference = 76-75=1

x + 1

Where x is the chosen/inital number.

Answer:

Step-by-step explanation:

2427

The percentage decrease of the population of a city is 19%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, the population of a city was 325,000 and several years later it was 263,250.

The percentage decrease will be:

= Decrease in population / Original population × 100

= (325000 - 263250) / 325000 × 100

= 61750 / 325000 × 100

= 19%

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The equation of the line in fully simplified slope - intercept form is 5x + y = 8 .

In the question ,

a graph of the line is given , we need to find the equation of the given line in the simplified slope - intercept form .

to find the equation , we need minimum two points ,

So , from the graph

we can see that

when x [tex]=[/tex] 0 , the value of y [tex]=[/tex] 8 ,

the first point is (0 [tex],[/tex] 8) .

when x [tex]=[/tex] 2 , the value of y [tex]=[/tex] -2 ,

the second point is (2 [tex],[/tex] -2) .

the slope can be calculated by

slope = (-2-8)/(2-0)

= -10/2

= -5

So , the equation of the line passing through point (2,-2) with slope -5 , in the slope intercept form is

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

y + 2 = -5x + 10

Simplifying further , we get

5x + y = 10 - 2

5x + y = 8

Therefore , The equation  line in fully simplified slope - intercept form is 5x + y = 8 .

The given question is incomplete , the complete question is

Write the equation of the line in fully simplified slope-intercept form, the line graph is shown below .

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