Billy was asked to solve 5(x + 3) = 2x + 6 and explain his steps. Fill in the missing step.

Answer:

8

Step-by-step explanation:

Answer:

[tex]{ \rm{f(x) = - x - 1}} \\ \\{ \rm{f(6) = - 6 - 1}} \\ \\ { \rm{f(6) = - 7}}[/tex]

Answer:

f(6) = -7

Step-by-step explanation:

It is given that x = 6. Plug in 6 for x in the given equation:

f(x) = -x - 1

f(6) = -(6) - 1

Note that when you are subtracting two negative numbers, you are really adding the two numbers:

f(6) = -(6) - 1

f(6) = -7

When x = 6, f(x) = -7

~

Answer:

d) (6, 0)

Step-by-step explanation:

y = -2/12 = -1/6x - 4 = y

New line = y = -1/6x + 6

Plug and test!

0 = -1/6(6) + 6

0 does indeed equal 0

Answer:

2m - 5/4 ≤ -7/8

The given inequality can be written as 2m - 5/4 ≤ -7/8.

Inequality is of four types they are

a<b ⇒ a is less than b.

a≤b ⇒ a is less than or equal to b.

a>b ⇒ a is greater than b.

a≥b ⇒ a is greater than or equal to b.

According to the given question

An inequality -7/8 is at most the difference of twice a number m and 5/4 which is 2m - 5/4 ≤ -7/8.

Difference of twice a number 'm' and 5/4 is 2m - 5/4 and this is at most -7/8 means less than or equal to.

∴ The given statement can be written as 2m - 5/4 ≤ -7/8

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Answer:

Step-by-step explanation:

1 =0.408

2=−30.004

3=−9.522

4= 33.54 pounds of soil are needed

5= b -2.76

1. Multiply (-6.8) * (-0.06) = 0.408

2. Multiply 11.54 * (-2.6) = -30.004

3. Multiply (-2.07) * (4.6) = -9.502

4. The garden needs 33.54 pounds of soil.

5. Multiply a). -27.6

When we multiply two numbers, we are essentially adding one of them multiple times based on the value of the other number. Let's go through each problem step by step.

1. To multiply -6.8 and -0.06, multiply their absolute values

  (ignoring signs): 6.8 * 0.06 = 0.408.

Since both numbers are negative, the product is positive:

(-6.8) * (-0.06) = 0.408.

2. For 11.54 * (-2.6), multiply their absolute values:

11.54 * 2.6 = 30.004.

One number is negative, so the product is negative:

11.54 * (-2.6) = -30.004.

3. Multiply the absolute values of -2.07 and 4.6: 2.07 * 4.6 = 9.502.

The numbers have different signs, so the product is negative: (-2.07) * (4.6) = -9.502.

4. The area of the garden is 12.9 square feet, and each square foot requires 2.6 pounds of soil.

To find the total soil needed, multiply: 12.9 * 2.6 = 33.54. Therefore, the garden needs 33.54 pounds of soil.

5. To multiply 2.3 and -1.2, multiply their absolute values: 2.3 * 1.2 = 2.76. Since one number is negative, the product is negative: 2.3 * (-1.2) = -2.76, which matches option a.)

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Answer:

[tex]log_{4}(\frac{2x}{6y})[/tex]

Step-by-step explanation:

According to the Quotient Rule (Logarithmic Property):

[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]

Therefore, you could combine the logarithmic expressions as:

[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]

Optional:

If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:

[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]

Answer:

Yes

Step-by-step explanation:

First off, let's use an example with the same equivalence:

[tex]\frac{12}{36} =\frac{16}{48}[/tex]

If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.

The constant of proportionality between the denominator and the numerator, if we use x and y, is:

[tex]y=3x[/tex]

So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.

Answer:

Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.

Step-by-step explanation:

The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.

Another example of this could be:

In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.

Answer:

c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The answer is 5

because 3 - 5 = -2

and -2 + 7 = 5

so the answer is 5

Answer:

x,y,x = 2,4, -3

Step-by-step explanation:

Answer:

He would have received $33 if he exchanged 22 dinars

Step-by-step explanation:

Answer:

you can always use sin or cos or tan in these situations

Answer:

Diana said that "the sandwich cost $9

Step-by-step explanation:

3x - 5 = 22

3x = 22 + 5

3x = 27

x = 27 / 3

x = 9

Answer:

3 3/47

Step-by-step explanation:

94/288 reduced and simplified

94( ÷2)

------

288( ÷2)

=

47/144

now convert this to a mixed number which is

3 3/47

Hope this helped you- have a good day bro cya)

Answer:

if you have an equation already C. if you don't have a equation you should make one B.

Answer:

the answer is 145°

Step-by-step explanation:

seeing as the two largest angles are 50° and 95° we add them and the answer is 145°

that's what I think :)

Here's the solution in attachment :

Step-by-step explanation:

I think you are missing the square root signs or so in the answer options.

the distance between 2 points is calculated by using Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse of the triangle and the distance between the points, which are the end points of the Hypotenuse.

a and b are the legs and enclose the 90 degree angle. they are the differences of the x and y coordinates between the 2 points.

so,

distance² = (1 - -7)² + (6 - 3)² = 8² + 3² = 64+9 = 73

=>

distance = sqrt(73)

Answer:

5 g

Step-by-step explanation:

it's really that easy

Answer:

5g

Step-by-step explanation:

Its so easy

Answer:

Domain my guy is 8

Step-by-step explanation:

why? because I just 8 that answer, OOOOHHHHHHHHHHH!!!!!!!!!

Answer:

JL = √38.

a = 1 and b = 38.

Step-by-step explanation:

Using Pythagoras:

(JL)^2 = (√8)^2 + (√30)^2

(JL)^2 = 8 + 30 = 38.

JL = √38.

Answer:

Here we will show you step-by-step with detailed explanation how to calculate 35 divided by 10 using long division.

Before you continue, note that in the problem 35 divided by 10, the numbers are defined as follows:

35 = dividend

10 = divisor

Step-by-step explanation:

ywy

The solution to the expression 35 divided by 10 is 3.5

Given data:

The first number is represented as p.

The value of p = 35

The second number is represented as q.

The value of q = 10

Now, the expression is 35 divided by 10

So, [tex]A=\frac{p}{q}[/tex]

To solve 35 divided by 10, yu perform the division operation as follows:

Divide 35 by 10:

35 ÷ 10 = 3.5

Hence, 35 divided by 10 equals 3.5.

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Answer:

[tex] \sqrt{97} \div 6[/tex]

1. find equation of line with given data :

b) from the given table, we get y - intercept (c) = -4

now let's find slope (m) :

so, the required equation will be :

c) from the given graph we can see that y - intercept (c) = 3

now, let's find the slope (m) :

the equation will be :

d) From this graph we get y - intercept (c) = -4

slope :

so, required equation will be :

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}[/tex]

Answer:

x=-2 or x=3

Step-by-step explanation:

2(-2)+4=0

3-3=0

Answer: False

Step-by-step explanation:

A cup with a hole in it loses 2 ounces of water in the first minute. This mathematically means

Add -2 (loses ⇒ means getting less)

Then the cup loses 2 ounces of water in the second minute. This mathematically means

Add -2 (loses ⇒ means getting less)

In total,  and means loses 4 ounces in two minutes.

Thus, the statement below does not describe a situation in which opposite quantities combine to make zero, so this statement is false

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]