7. Find x
(3x-21)
(2x+4)

First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

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The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

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Answer:

6y+4

Step-by-step explanation:

Let's simplify step-by-step.

−2x²+3y+2x²+2+3y+2

Combine Like Terms:

=−2x²+3y+2x²+2+3y+2

=(−2x²+2x²)+(3y+3y)+(2+2)

=6y+4

The range of the function f(x) = x2 is larger than or equal to zero, and its domain includes all real numbers (x can be any number).

What is domain in math?

The domain of f(x) = |x+2| -

Real numbers only

The range of the function f(x) = x2 is larger than or equal to zero, and its domain includes all real numbers (x can be any number).

The domain of f(x) = -2x²+5

All real numbers fall under the expression's domain, with the exception of cases where it is undefined. In this instance, the phrase is defined even if there is no real number.

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Answer:-8

Step-by-step explanation:hope it helps, brainliest? i could really use it

Using proportions, it is found that the garage is 14 millimeters wide in the drawing.

What is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The rule of three is:

7 millimeters - 4 meters

x millimeters - 8 meters

Applying cross multiplication

 4x = 7(8)

x = 56/4

x = 14

The garage is 14 millimeters wide in the drawing.

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the range of the function g(x) will be y ≤ 0.

We know that the absolute value function g(x) can be written as:

g(x) = a*|x|

Remember that the range of f(x) = |x| is y > 0, and a is a negative number, so the function is reflected over the horizontal axis.

Then the maximum value will be when x = 0, then:

g(0) = a*|0| = 0, that is the maximum.

And then the function opens downwards. Then the range will be y ≤ 0.

So the range of the absolute value function g(x) is the set of all real values equal to or smaller than zero.

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The single logarithm for the given expression (2 log₄6 - log₄9) is 1.

The given logarithmic expression is 2 log₄6 - log₄9.

Use the ability rule of the logarithm logₐ(Xⁿ) = n logₐ(X), to get 2

log₄6 - log₄9= log₄6² - log₄9

= log₄36 - log₄9          (Since 6² = 36)

Use the quotient rule of the logarithm logₐ(X/Y) = logₐ(X) - logₐ(Y), to get:

log₄36 - log₄9= log₄(36/9) = log₄(4)      

(Dividing 36 by 9, to get, 36 ÷ 9 = 4)

= 1                (Since logₐ(a) = 1)

Therefore, the one logarithm for the given logarithmic expression (2 log₄6 - log₄9) is 1

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well, a function will pretty much be some type of pattern.

something that doesn't behave in a quite predictable pattern

well, when it rains, the clouds come by and down you're wet, but is not as predicatable as we'd like.

the movement of stars.

eruption of volcanoes, very unpredictable.

downturns in the economy, check the 2008 market crash, many moving their heads both ways tried to see what happened, noone saw it coming, it just hit like a lightning.

there's another one, where a lightning strikes :).

Answer:

10 hours

Step-by-step explanation:

Unit rate   18 items / 15 hrs = 1.2 items pe hour

12 items / 1.2 items / hour    = 10 hours

Answer:

27

Step-by-step explanation:

Answer:

$2,750 = $200x + $750

10 cars to meet the goal

Step-by-step explanation:

We will pull details we need to solve out of the question:

     If her goal is to make 2,750 dollars, the money earned must equal at least $2,750.

     If she's already made $750, then we can subtract that from what is needed left to make (or add it to what needs to be made).

     Finally, she makes $200 per car. Let x equal the number of cars she sells.

Next, we will write an equation:

     $2,750 = $200x + $750

Lastly, we will solve this equation.

     $2,750 = $200x + $750

     $2,000 = $200x

     10 = x

           She needs to sell 10 cars to meet her goal.

If Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters. The area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.

First step is to determine the Area of triangle using this formula

Area of triangle= ½×breadth ×height

Where:

Breadth=9

Height of triangle= 11 - 8

Height of triangle = 3cm

Area of triangle= ½ × 9 × 3

Area of triangle = 13.5 cm²

Second step is to determine the area of rectangle

Area of rectangle= length × breadth

Area of rectangle= 8 × 7

Area of rectangle= 56 cm²

Third step is to determine the total area

Total area=Area of triangles+ Area of rectangle

Total area = 13.5 + 56

Total area= 69.5 cm²

Therefore the area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.

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Answer:

Step-by-step explanation:

When there are two negatives it equals a positive-

[tex]1.242-(-2.9) = 1.242+2.9\\ \\ =4.142[/tex]

Answer = 4.142

Answer:

c the number of employees is increasing by 50% every year

Answer:

c. number of employees is increasing by 50% every year

Solving for X: x=40+y2+x2-16y

------------------------

10

solving for X_2: x2= -(40+y2-16y-10x)

The most pieces of fabric that can be used is 144 pieces, making a quilt with 12 pieces on each side.

The square is a term to refer to a geometric figure that is characterized by being a type of parallelogram with four sides of equal length. A square is a regular polygon that has all its sides equal, and its interior angles measure 90º.

To identify the number of square pieces that I can use to make a square quilt, I must keep in mind that to create a square quilt I must put the same number of pieces on each side of the quilt so that it forms a perfect square.

To identify the maximum number of pieces needed, we can try taking the square root of 150, 149, 148, 147... until the result is a integer number (no decimals). In this case the first integer that appears is 12 by taking the square root of 144 as shown below.

[tex]\sqrt[2]{144} = 12[/tex]

This means that to make a square quilt we must use 144 pieces in total and place 12 pieces on each side of the square. Additionally we can state that the side length of this quilt is 48 inches because each piece measured 4 inches on a side.

4 inches × 12 = 48 inches.

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According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1).

Logarithms are another technique to express exponents. An integer's baseline logarithm matches another number. A logarithm is the inverse of exponentiation.

Given : 4 e x⁻¹=64

STEPS USING DEFINITION OF LOGARITHM

4e ^(x−1) =64

To resolve the equation, use exponents and logarithms laws.

4e^x−1 =64

Divide both sides by 4.

e^x−1 =16

Take the logarithm of something like the equation's two sides.

loge^x−1 = log16

Divide both sides by log(e).

[tex]x-1=\frac{\log (16)}{\log (e)}\\[/tex]

By the change-of-base formula [tex]\frac{\log (a)}{\log (b)}=\log _b(a)[/tex]

x−1=log e(16)

add1 from both components of the equation.

According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1)

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Answer:

Let's solve your equation step-by-step.

x3=27

Step 1: Take cube root.

x=(27)  (1 )

           (3)

x=3

Answer:

x=3

hope it helped!

Step-by-step explanation:

√10 is greater than √2 + √3 .

First we assume that  √10 is greater than √2 + √3. Then we check if this relation is true.

So suppose that  √10 > √2 + √3

On squaring both sides and using the algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex],

⇒ 10 > 2 + 3 + 2√6

⇒ 10 > 5 + 2√6

Subtracting 5 from both sides, we get,

⇒ 5 > 2√6

Again squaring on both sides,

⇒ 25 > 4 x 6

⇒ 25 > 24

This is a true relation. So our assumption that √10 is greater than √2 + √3 was right.

Therefore, √10 > √2 + √3

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Answer:

130

Step-by-step explanation:

18+4(28)

18+112

130

Answer:

-5 ≤ x ≤ 3

Interval notation : [-5 , 3]

Step-by-step explanation:

The probabilities of all possible outcomes must sum to 1. So the missing probability is

1 - 1/2 - 3/10 - 1/20 = (20 - 10 - 6 - 1)/20 = 3/20

The translation of the polygon 3 units down and 4 units left is;

A''(-2, -4)

B"(-3, -7)

C"(-1, -8)

D"(1, -6)

We are given the coordinates of the polygon as;

A(2, -1), B(1, -4), C(3, -5), D(5, -3)

Now, we are told that all points are translated 3 units down and 4 units left. Thus, the new coordinates are;

A'(2, -1 - 3) = A'(2, -4)

B(1, -4 - 3) = B'(1, -7)

C(3, -5 - 3) = C'(3, -8)

D(5 , -3 - 3) = D'(5, -6)

Translation of 4 units left is now;

A''(2 - 4, -4) = A''(-2, -4)

B"(1 - 4, -7) = B"(-3, -7)

C"(3 - 4, -8) = C"(-1, -8)

D"(5 - 4, -6) = D"(1, -6)

The translation of the polygon 3 units down and 4 units left is;

A''(-2, -4)

B"(-3, -7)

C"(-1, -8)

D"(1, -6)

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Answer:

c.  21, 85

Step-by-step explanation:

Define the variables:

Let the two numbers be x and y, where x > y.

Given information:

Create two equations from the given information and defined variables:

[tex]\begin{cases}x = 4y + 1\\x + y = 106\end{cases}[/tex]

Substitute Equation 1 into Equation 2 and solve for y:

[tex]\implies (4y+1)+y=106[/tex]

[tex]\implies 4y+1+y=106[/tex]

[tex]\implies 5y+1=106[/tex]

[tex]\implies 5y+1-1=106-1[/tex]

[tex]\implies 5y=105[/tex]

[tex]\implies \dfrac{5y}{5}=\dfrac{105}{5}[/tex]

[tex]\implies y=21[/tex]

Substitute the found value of y into the second equation and solve for x:

[tex]\implies x+21=106[/tex]

[tex]\implies x+21-21=106-21[/tex]

[tex]\implies x=85[/tex]

Therefore, the two numbers are 21 and 85.

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The measure of the z value from the given figure is 6 2/3.

We need to find the unknown value for the given figure.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short. Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.

Using trigonometric ratios we can find the z value.

From the given figure, tan θ = 4/6 ----(I) and also tan θ = z/10 ----(II)

Now, equation (I) = (II)

⇒ 4/6 = z/10

⇒ 4 × 10 = z × 6

⇒ 6z = 40

⇒ z = 40/6

⇒ z = 20/3

⇒ z = 6 2/3

Therefore, the measure of the z value from the given figure is 6 2/3.

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Answer:

x=4 that is it i believe and bc i did it

The value of the greatest of the three is -16

Let the smallest of the integers be x - 2

So, the other integers are x - 1 and x

The sum of the integers is given as

Sum = -51

So, we have the following equation

x - 2 + x - 1 + x = -51

Evaluate the like terms in the above equation

So, we have the following equation

3x = -48

Divide both sides of the equation by 3

So, we have the following equation

x = -16

Hence, the value of the greatest of the three is -16

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juanita should use 0.625 to update her report.

given that the pitcher threw 384 pitches  and used fastball 240 times.

according to the information

240÷ 384

To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

How do you divide decimals step by step?

The step-wise procedure for dividing decimals by a whole number is given below:

Step 1: Write the given division expression in the standard form.

Step 2: Now, we have to divide the decimal number's whole number part by the divisor.

Step 3: Place the decimal point in the quotient above the dividend's decimal point and then bring down the tenths' digit.

Step 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenths' digit. Otherwise, proceed with the division process.

Step 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.

240 ÷ 384

⇒ 0.625

so juanita should use 0.625 to update her report

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Answer: You can use Math apps to help you easily

Step-by-step explanation: