Show complete algebra steps on your paper to solve -1.2x = 11.3x + 13.75. type only the solution rounded to the nearest tenth. if your answer is negative, be sure to type the negative sign before the number.

The value of given expression for x=0 is 0, x=-2 is -1.25 and x=2 is -1.25.

Given the expression is -5x⁻².

Firstly, we will simplify the given expression -5x⁻² for x=0.

Substitute the value x=0 in given expression, we get

-5x⁻²=-5(0)⁻²

-5x⁻²=-5(0)

As we know that something multiply with 0 is zero.

So, we get

-5x⁻²=0

Now, we will simplify the given expression -5x⁻² for x=2.

Substitute the value x=2 in given expression, we get

-5x⁻²=-5(2)⁻²

Now, we will square the expression to simplify it, we get

-5x⁻²=-5(4)⁻¹

Further, we will divide it above expression by 1 to remove negative sign, we get

-5x⁻²=-5/4

-5x⁻²=-1.25

Furthermore, we will simplify the given expression for x=-2.

Substitute the value x=-2 in given expression, we get

-5x⁻²=-5(-2)⁻²

Now, we will square the given expression, we get

-5x⁻²=-5(4)⁻¹

Further, we will divide it above expression by 1 to remove negative sign, we get

-5x⁻²=-5/4

-5x⁻²=-1.25

Hence, the value of expression -5x⁻²  for x=0, 2 and -2 is 0, -1.25 and -1.25.

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The inverse of the function y= 10 - 2x² is y =√ (10 - x) / 2. .

Inverse Variation:

A connection between two variables is said to have inverse variation when one of the variables rises while the other falls.

When two variables, let's say X and Y, are coupled in such a way that raising X results in a drop in Y and vice versa, this is known as indirect or inverse variation.

All we have to do to find the inverse of a function is switch the variables x and y.

x = 10 - 2y²

Now, solve for y as follows:

2y² = 10 - x

y² = (10 - x)/2

y = √ (10 - x) / 2

Therefore,  the inverse of the function y=10 - 2x² is y = √ (10 - x) / 2.

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Answer:

4

Step-by-step explanation:

9 - 5 = 4

Answer:

p = 8

Step-by-step explanation:

3 + 1 + p = 12

Rearrange the equation so that you have integers on one side and algebra on the other.

3 + 1 + p = 12

p = 12 - 3 - 1

p = 8

Answer:

the 1st value represents x, the independent value

the 2nd value represents y, the dependent value

I think that is what it is asking

It is a vague question

Answer:

Step-by-step explanation:

You want to know the meaning of the first and second values in the ordered pairs that represent the relation shown in the diagram.

The ordered pairs representing a relation are understood to be ...

  (first value, second value) = (input value, output value)

  = (value at arrow tail, value at arrow head)

The diagram labels the ends of the arrows as "Grade" and "Hours Studied." That tells you the values mean ...

 first value: Grade

  second value: Hours Studied

The value of y is 1/ 2

The slope of a line can be defined as a number that describes;

Slope of a line is also called the gradient of a line.

It is also known as the ratio of the rise to the run, or the quotient of  the riser to the run.

The formula for slope is expressed as;

Slope = y2 - y1/ x2 - x1

Now, substitute the values

-2/ 7 = 4 - y/3 - 10

Find the ratio

-2/ 7 = 4 - y/-7

cross multiply

14 = 7(4 - y)

expand the bracket

14 = 28 - 7y

collect like terms

14 - 28 = -7y

-14 = -7y

Make 'y' the subject of formula

y = 1/2

Thus, the value of y is 1/ 2

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he started with 90 dollars and spent $3.50 each day

The distance, in miles, from Pine Gap to Turkey Trot is 48 miles.

Here, we are given that on a road map, the distance from Pine Gap to Turkey Trot is 2 inches. The scale of the maps shows that 1 inch is equal to 24 miles.

This simply means that 1 inch on the map is equal to 24 miles in reality. Usually maps use a scale factor to compare the distances as the map is a condensed version of the actual geographical area. Here, the scale factor is 1 inch : 24 yards.

Thus, a distance of 2 inches on the map will be equal to 24 × 2 = 48 miles.

Therefore, the distance, in miles, from Pine Gap to Turkey Trot is 48 miles.

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Answer:

1 and 1.50 or 1 and 2, but most likely the first one.

Step-by-step explanation:

Answer:solve for x

x>3

Step-by-step explanation: 12x<9(2x−3)+9

Use the distributive property to multiply 9 by 2x−3.

12x<18x−27+9

Add −27 and 9 to get −18.

12x<18x−18

Subtract 18x from both sides.

12x−18x<−18

Combine 12x and −18x to get −6x.

−6x<−18

Divide both sides by −6. Since −6 is negative, the inequality direction is changed.

x>

−6

−18

​

Divide −18 by −6 to get 3.

x>3

Answer:

40 cm^2

Step-by-step explanation:

Area of rectangle = length * width.
Area of square = length^2

To find the area of the given shape, we must subtract the area of the square from the area of the rectangle.

Area of the given rectangle = 8 * 7 = 56 cm^2
Area of the given square = 4^2 = 16 cm^2

56 - 16 = 40 cm^2

Answer:

SQUARE 1:

100% ; 75%

Step-by-step explanation:

I'm pretty sure this is right i hope this help

Answer: The adult height of a girl who was 34 inches tall at age 2 is = 64.98 inches.

The adult height of a boy who was 33 inches tall at age 2 is = 67.91 inches.

Step-by-step explanation:

Given data,

PHYSIOLOGY If you know how tall you were at the age of 2, you can estimate your adult height (in inches).

Girls can use the expression 25+ 1.17h

where, h is the height (in inches) at the age of 2.

and, Boys can use the expression 22.7 + 1.37h.

So,

Let adult height of boys is represented by = y and

Let adult height of girls is represented by = x

From the equation,

adult height of girls expression is x = 25+ 1.17h

adult height of boys expression is y = 22.7 + 1.37h

First we can solve option a,

We have been asked to find the adult height of a girl who was 34 inches tall at age 2.

                         x = 25+ 1.17h

where, h = 34 inches

                          x = 25 + 1.17 (34)

                          x = 25 + 39.78

                          x = 64.98 inches

Therefore,

The adult height of a girl who was 34 inches tall at age 2 is = 64.98 inches.

First we can solve option b,

We have been asked to find the adult height of a boy who was 33 inches tall at age 2.

                        y = 22.7 + 1.37h

where, h = 33 inches

                        y = 22.7 + 1.37(33)

                          y = 22.7 + 45.21

                          y = 67.91 inches

Therefore,

The adult height of a boy who was 33 inches tall at age 2 is = 67.91 inches.

So,

The adult height of a girl who was 34 inches tall at age 2 is = 64.98 inches.

The adult height of a boy who was 33 inches tall at age 2 is = 67.91 inches.

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Answer:

-55

Step-by-step explanation:

The pattern here is subtracting by 2 higher than the previous term.

As you can see

1 -2 = -1

-1 - 4= -5

-5 - 6 = -11

etc.

Continuing until the eighth term gets you   - 41 - 14 = -55

We conclude that the percent error in Terry's reading is 8.3 percent.

If you did a reading on a value V, and your reading is another value V', the percent error in your reading is given by the formula:

P = 100%*|V - V'|/V

In this case, Terry's reading of the volume of the liquid is V' = 33.0, while the actual value is V = 36.0

Replacing that in the formula for the percent error we get:

P = 100%*|36.0 - 33.0|/36.0 = (3.0/36.0)*100% = 8.3%

We conclude that the percent error in Terry's reading is 8.3 percent.

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The value of x for log₉3=x is 1/2 or 0.5.

An exponent is a logarithm. You may convert any exponential expression to logarithmic form. As an illustration, if 8 = 23, the base is 2, the exponent is 3, and the outcome is 8. This may be represented as 3 = log2 8 in logarithmic notation.

The equation y=logb(x+h)+k shifts the logarithmic function, y=logbx, by k units vertically and h units horizontally.

The equation given is -

log₉3=x

It can be expressed in the form -

3 = 9ˣ

3 = 3²ˣ

As base is same,

1 = 2x

x = 1/2 = 0.5

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When y= 105 then x= 15.

A proportion is an equation in which two ratios are set equal to each other.

given:

At x=3, y=21

at y= 105 , x=?

So, creating proportionality

105/x= 21/3

105/x = 7

x= 105/7

x=15

Hence, when y= 105 then x= 15.

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The question attached here is incomplete.

The complete question is

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

The  values of for which the rocket's height is 29 meters are 0.75 and -0.67.

The rocket's height h (in meters) after t seconds is given by the following.

h=57t-5t^2

Then the equation after the height is 29 meters was given will be

[tex]h=57t-5t^2[/tex]

29=57t-5t^2

then we will have  [tex]57t-5t^2-29=0[/tex]

Then this is a quadratic equation, which can be solved, to find t, then after using the quadratic formular the values of t are:

0.75 and -0.67

Then we can chose 0.75 seconds

Therefore, from the question, we can see that after the quadratic equation has been performed  0.75 and -0.67 serves as the values for the height of 29 metres.

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Step-by-step explanation:

It sounds like you need to find your slope. The equation is y2-y1/x2-x1

Say you have two points, and those two points make a line.

Say those points are (0,0), and (5,5).

To find the slope, we need which is equal to x2-x1/y2-y1 (the two coordinates for the points) which in this case, equals one. That means the constant rate of going up is, 1 each time it moves to the left once.

I hope this answers your problems. If you don't understand anything, I can try to help in the comments!

If the expression is log₃(2 x)², then the expansion of this looks like

2 (log 2+log x)/log 3.

Given that the expression is log₃(2 x)².

We are required to expand the expression by using the properties of logarithmic function.

The change of base formula is basically the formula that will give you the answer of a log with a different base by using only log calculations with a base of 10.

The expression is log₃(2 x)².

log₃(2 x)²=2 [tex]log_{3}[/tex] 2x

=2 (log 2+log x)/log 3

Hence if the expression is log₃(2 x)², then the expansion of this looks like 2 (log 2+log x)/log 3.

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Answer:

-a^2*(a^2+21a+22)

best I can do

Answer:

Solution:

Total 94 vehicles

Washed on saturday:

34+27=61

94-61=33

So 33 vehicles are washed on Saturday.

x = -4 is the extraneous solution of the equation.

The equation is

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

To find the extraneous solution first we need to find the value of x.

So we need to square on both sides of the equation

[tex](\sqrt{5- x})^{2}[/tex] = [tex](x + 1)^{2}[/tex]

5 - x = [tex]x^{2}[/tex] +2x + 1

[tex]x^{2}[/tex] + 3x - 4= 0

[tex]x^{2}[/tex] + 4x - x - 4 = 0

x( x + 4 ) - 1 ( x + 4) = 0

( x + 4)( x - 1) =0

x = -4, 1

Now put both the value of x in the solution in the equation.

x = -4

[tex]\sqrt{5 - (-4)}[/tex] = -4 + 1

[tex]\sqrt{9}[/tex] = -3

3≠ -3

Now put

x = 1

[tex]\sqrt{5 -1}[/tex] = 1 +1

[tex]\sqrt{4}[/tex] = 2

2 = 2

Therefore we get that x = -4 is the extraneous solution of the equation and x = 1 is the solution of the equation.

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The probability that the first student selected is a psychology major and the second student is an art major is 0.057.

Probability for psychology = 4/21

Probability for art major = 6/21

Therefore, the probability that the first student selected is a psychology major and the second student is an art major will be:

= P(Psychology) × P(art)

= 4/21 × 6/20

= 24/420

= 0.057

Therefore, the probability that the first student selected is a psychology major and the second student is an art major is 0.057.

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The inverse of the function f(x) = y = 2x² - 8 is [tex]y=\pm\sqrt{\frac{x+8}{2} }[/tex].

A function's inverse is a function that reverses the action of a function, say [tex]f[/tex]. If the inverse of f exists, it is denoted by f ⁻¹ and exists only if f is a bijective function.

The domain of a relation's inverse corresponds to the original relation's range. In other words, the inverse's x values are the relation's y values.

Consider the function,

f(x) = y = 2x² - 8

Swapping x and y, to find the inverse.

x = 2y² - 8

Adding 8 on both sides of the equation.

x + 8 = 2y² - 8 + 8

2y² = x + 8

Dividing each side of the equation by 2.

y² = ( x + 8 )/ 2

Taking the square root of the equation.

[tex]\sqrt{y^{2}}=\pm\sqrt{\frac{x+8}{2} }[/tex]

[tex]y=\pm\sqrt{\frac{x+8}{2} }[/tex]

The inverse of the function f(x) = y = 2x² - 8 is [tex]y=\pm\sqrt{\frac{x+8}{2} }[/tex].

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The diagonal of the given brick using the Pythagorean Theorem is 5√2.

So, let the diagonal be 'x'.

Pythagorean formula: x² = b² + h²

Now,

Therefore, the diagonal of the given brick using the Pythagorean Theorem is 5√2.

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