The slope-intercept form of a line is y = mx + b. Using that equation for a line of best fit, you can substitute an input value to find the output for that point. With this method it is possible to make predictions for data points that may not be shown on a graph.

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

Answer:

$1475.40

Step-by-step explanation:

Since the interest is two times per year for 5 years, do this 10 times:

1) 750*0.07=52.5

750+52.5=802.5

2) 802.5*0.07=56.18

802.5+56.18=858.69

3) 858.69*0.07=60.11

858.69+60.11=918.79

4) 918.79*0.07=64.32

918.79+64.32=983.11

5) 983.11*0.07=68.82

983.11+68.82=1051.93

6) 1051.93*0.07=73.64

1051.93+73.64=1125.57

7) 1125.57*0.07=78.79

1125.57+78.79=1204.36

8) 1204.36*0.07=84.31

1204.36+84.31=1288.67

9) 1288.67*0.07=90.21

1288.67+90.21=1378.88

10) 1378.88*0.07=96.52

1378.88+96.52=1475.40

Answer:

-15

Step-by-step explanation:

g(-1) = -2(-1)^2 -4 = -2 *1 -4 = -6

f(-2) = (-2)^2 -3 = 4 -3 = 1

3* [g(-1)+ f(-2) ]

3( -6+1)

3 ( -5)

-15

[tex]answer \\ = £59.25 \\ please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps[/tex]

Answer:

0.2924

Step-by-step explanation:

Use a calculator.

cos 73 deg = 0.2924

Answer: m=-4

Step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

Answer: m= -4

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.

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Answer: (12+3x)x

Explanation: When you distribute the x in the first option you'll get 12x+3x, which you can simplify to 15x (combine like-terms). Having this information, you know that the first one is equivalent to the third one and the fourth option. When you distribute the x in the second you you get (3x^2)+12x. This is not equal to any other option.

Answer:

  b.  4.0 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:

  Cos = Adjacent/Hypotenuse

  cos(35°) = NL/NK

  NL = NK·cos(35°)

__

Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:

  Sin = Opposite/Hypotenuse

  sin(53°) = NM/NL

  NM = NL·sin(53°)

Substituting from the first triangle, we have ...

  NM = NK·cos(35°)·sin(53°)

  NM = (6.1 cm)(0.81915)(0.79864)

  NM ≈ 3.991 cm

  MN ≈ 4.0 cm

Answer:

3 acute angles with different measures and 1 right angle and 2 acute angles with same measures

Answer:

115

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:

x+65=180

x=180-65=115 degrees

Hope this helps!

Answer:

None of them

Step-by-step explanation:

Supplementary angles have 180 degrees

50+65=115

40+65=105

130+65=185

310+65=375

Answer:

[tex]25.1cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3[/tex]

Answer:

22

Step-by-step explanation:

[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]

Hope this helps!

Answer:

19.75.

Expression: 4.50pp - 2.75

(pp is the variable, pretend)

Answer:

b

Step-by-step explanation:

Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.

Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.

The exponential equation has the following format:

[tex]y = ab^x[/tex]

Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:

[tex]ab = 10[/tex]

Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:

[tex]ab^2 = 20[/tex]

From the first equation:

[tex]a = \frac{10}{b}[/tex]

Replacing on the second:

[tex]\frac{10}{b}b^2 = 20[/tex]

[tex]10b = 20[/tex]

[tex]b = \frac{20}{10}[/tex]

[tex]b = 2[/tex]

So

[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]

Then, the equation is:

[tex]y = 5(2)^x[/tex]

When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.

A similar problem is given at https://brainly.com/question/14773454

Answer:

b= 1/2

c = 1

Step-by-step explanation:

10b = 5

You want to leave the variable b on it's own so you divide both sides by 10

10b/10 = 5/10  --> b = 5/10 or 1/2

Since you have the value of b now, plug it in to solve for the value of c

c = (2 (1/2) - 2)^2

  = (1 - 2)^2    Half of 2 is 1, of course

  = (-1)^2  (-1 * -1)

c = 1  (a negative times a negative is a positive

So the value of be is 1/2 and c is 1

Hope this helps!

Answer:

The slope is 5/3

Step-by-step explanation:

5x - 3y = 4

Solve for y

Subtract 5x from each side

5x-5x - 3y =-5x+ 4

-3y = -5x+4

Divide each side by -3

-3y/-3 = -5x/-3 +4/-3

y = 5/3x -4/3

This is in the form

y =mx+b

The slope is m and the y intercept is b

The slope is 5/3

Answer:

840cm^2

Step-by-step explanation:

Volume: Area of cross section x length

Area of cross section:(15 x 8 + 4x 5 )

length: 6

So volume:

(15 x 8 + 4x 5 ) x 6 = 120 + 20 X 6 = 140x6 = 840cm^2.

Hope this helps.

Good Luck

Answer: 0.6763 cm∧2

Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.

The sample variance would be calculated as follows:

Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)

Mean: Sum of samples / population size ;

(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67

Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2

Answer:

you are assuming that everyone in the class took the test. 33 people took the test but there could be more in the class but they were just not there for the test.

Answer: -4

Step-by-step explanation:

Do -6 x 2 to get -12, then divide by 3 to get -4

Thats assuming this is a fraction and not an actual division sign

Answer:

D

Step-by-step explanation:

Answer:

8.5 units

Step-by-step explanation:

first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.

15² + 8² = c²

225 + 64 = c²

289 = c²

17 = c

so now we know that the length of the diameter is 17 units, so the radius would be half of that.

17 ÷ 2 = 8.5

so the radius is 8.5

The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

A circle which has diameter AOB,

Two chords are, AC & BC their lengths are respectively, 15 and 8 units

According to theorem of circle,

Angle made by end-points of diameter at any point on a circle is 90

Pythagoras theorem can be used here,

AB² = AC² + BC²

AB² = 12² + 5²

AB² =  169

AB = 13

Radius = AB/2

           =  13/2

Hence, the radius is 13/2 units

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Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

50 quarts

Step-by-step explanation:

64oz*25=1600oz

1600oz/32=50q

(32oz in each quart)

Answer:

a = 43

Step-by-step explanation:

If PQ = PR, then P = R

The sum of the angles of a triangle is 180

P+Q+R = 180

47+2a + 47 = 180

Combine like terms

94 + 2a = 180

Subtract 94 from each side

2a = 180-94

2a = 86

Divide by 2

2a/2 = 86/2

a = 43

Answer:

43

Step-by-step explanation:

PQ = PR, so P = R

P + Q + R = 180

47+2a + 47 = 180

2a = 180 - 47 - 47

2a = 86

= 43

Hope this helps!

Answer:

1

Step-by-step explanation:

The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

Answer:

the set of all the real values which are strictly greater than zero which is all positive real numbers

Step-by-step explanation:

In interval notation: (0, ∞)

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x)

the set of all the real values which are strictly greater than zero

x > 0

please mark me brainliest :)

Answer:

[tex]1+6i[/tex]

Step-by-step explanation:

The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.

Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.