Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x Jorge verifies his solution by substituting Negative StartFraction 8 Over 3 EndFraction into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error? Jorge distributed incorrectly. Jorge incorrectly combined like terms. Jorge incorrectly applied the addition and subtraction properties of equality. Jorge incorrectly applied the multiplication and division properties of equality.

Answer:

[tex] \boxed{z = 3} [/tex]

Step-by-step explanation:

[tex] = > - 8z + 17 = - 13 + 2z \\ \\ = > - 8z - 2z + 17 = - 13 \\ \\ = > - 10z + 17 = - 13 \\ \\ = > - 10z = - 13 - 17 \\ \\ = > \cancel{-} 10z = \cancel{-} 30 \\ \\ = > 10z = 30 \\ \\ = > z = \frac{30}{10} \\ \\ = > z = 3[/tex]

Answer:

z = 3

Step-by-step explanation:

→Add 8z to both sides:

-8z + 17 = -13 + 2z

17 = -13 + 10z

→Add 13 to both sides:

30 = 10z

→Divide both sides by 10:

3 = z

Answer:

Step-by-step explanation:

Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 64

σ = 8

n = 35

the probability that the sample mean will be less than 65.5 pounds is expressed as

P(x < 65.5)

For x = 65.5,

z = (65.5 - 64)/(8/√35) = 1.11

Looking at the normal distribution table, the probability corresponding to the z score is 0.8665

Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665

Answer:

XY = 7.3

Step-by-step explanation:

             ?                        5.2

X ------------------------Y---------------Z

|<----------------12.5------------------->|

XZ = 12.5

YZ = 5.2

XY + 5.2 = 12.5

XY = 12.5 - 5.2

XY = 7.3

Answer:   last choice

In general if we have first term a[1] and common difference d, such that

a[n] = a[n-1] + d

then the explicit formula is

a[n] = a[1] + d(n-1)

First choice has d=-4 so needs a minus sign in the explicit formula.

Second choice has a=-100 so needs a negative sign for the 100.

Third choice swaps a[1] and d, oops.

IT IS D!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

The answer to your question is the first option.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + c

y = 5x - 7

Slope m = 5

y-intercept c = -7

Answer:

m = 5

c = -7

Step-by-step explanation:

the formula for a line is mx+c where m is the gradient and c is the intercept.

In this case:

m = 5

c = -7

Hope this helps

Good Luck

Answer:

Joel rolls two fair number cubes at the same time.

Each cube has six sides 1, 2, 3, 4, 5, 6

=> There are 6 x 6 = 36 possible pairs (or 36 possible sums)

The collection of pairs that have sum less than 4 includes (1, 2), (2, 1) and (1, 1) => 3 cases (*)

The sum that is odd when two cubes show one odd number and one even number. Therefore each side of first cube has 3 options from second cube to form an odd sum. => The total number of cases: 6 x 3 = 18  cases

In these 18 cases, there are two cases (1, 2) and (2, 1) which have been counted already at (*) => Total case that the sum of the numbers will be odd or less than 4: T = 3 + 18 - 2 = 19 cases

=> Probability that the sum of the numbers will be odd or less than 4:

P = 19/36 = 0.53

Hope this helps!

:)

Answer:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

Answer:

20+r +r = 256

Step-by-step explanation:

Let r = rabbits

c = chickens

c = 20 +r  since there are 20 more chickens than rabbits

Together there are 256

c+r = 256

Replacing c with 20+r

20+r +r = 256

Answer:The triangle is dilated by a factor of 1/2

Step-by-step explanation:

Answer:

a scale factor of 2

Step-by-step explanation:

Answer: yes 3/5 equal to 60/100

Step-by-step explanation:

The answer is it is because if you do

5 times 20 its 100

and 3 times 20 is 60

so what you do to the bottom you do to the top

so the answer is yes 3/5 equal to 60/100

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

[tex]\frac{3}{5} and \frac{60}{100}[/tex] are equivalent fractions. Equivalent fractions are fractions that have the same value of decimal. so when you simplify 60/100 you will definitely get 3/5. And both of their's decimal is equal which is 0.6.

Answer:

Piano, guitars, drum set, and voices

Step-by-step explanation:

Answer:

A closed cone has 0 verticals.. but 1 vertice

Step-by-step explanation:

Answer:

You need 14 cups of water for 6 scoops of drink mix  since it is simply double the amount of scoops

Step-by-step explanation:

(1) 7 cups water/ 3 scoops mix=7/3

(2) x cups water/6 scoops mix=x/6

(3) 7/3=x/6

(4) 42/3=x

Answer:

x = -8

Step-by-step explanation:

4( 3x +5 ) - 3 = 9x -7

Distribute

12x +20 -3 = 9x -7

Combine like terms

12x+17 = 9x-7

Subtract 9x from each side

12x-9x +17 = 9x-9x-7

3x +17 = -7

Subtract 17 from each side

3x+17-17 = -7-17

3x = -24

Divide each side by 3

3x/3 = -24/3

x = -8

Answer: x= -8

Step-by-step explanation:

4 ( 3x + 5 ) - 3 = 9x - 7

12x + 20 - 3 = 9x - 7

12x + 17 = 9x - 7

subtract 9x from both sides

12x + 17 - 9x = -7

3x + 17 = -7

subtract 17 from both sides

3x= -7-17

3x= -24

divide both sides by 3

x= -24/3

simplify

x= -8

Answer:

-7

Step-by-step explanation:

The equation is simplified so there are two possible answers here, -4 and -7

There is a root where y = 0 and x = a number

At -4 and -7 y = 0

However at -4 the function bounces since the (x+4) is raised to the 6th power.

When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.

Since you can only choose one answer, the logical answer would be -7.

At x = -7, y = 0 and the function crosses the x-axis.

At x = -4, y = 0 but the function bounces on the x-axis.

The logical answer here is -7.

The graph crosses the x-axis at x = -7

The roots of a function are the zeros of the function

The function of the graph is given as:

[tex]f(x) =(x+4)^6(x+7)^5[/tex]

In the above equation, the roots of the functions and their corresponding multiplicities are:

The graph will cross the x-axis, when the multiplicity is odd

The root, -7 has an odd multiplicity.

Hence, the graph crosses the x-axis at x = -7

Read more about roots and multiplicities at:

https://brainly.com/question/2833285

Answer:

a and b

Step-by-step explanation:

............. ...... ..

Answer:

The answer is B

Step-by-step explanation:

[tex]\frac{x}{4}=16\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4x}{4}=16\cdot \:4\\\mathrm{Simplify}\\x=64[/tex]

Answer:

alternate exterior angles

Step-by-step explanation:

so are 2 & 8

Answer:

13.6

Step-by-step explanation:

The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:

dilation factor = A'Q/AQ

AQ = A'Q/dilation factor

Replacing with data:

AQ = 2.4/0.15 = 16

Then, the distance between points A and A' is

x = 16 - 2.4 = 13.6

Answer:

cosΘ = [tex]\frac{9}{15}[/tex]

Step-by-step explanation:

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{9}{15}[/tex]

The exact of the trigonometric function associated with the right triangle is cos θ = 3 / 5.

In this question we have a right triangle, whose all side lengths are known and the exact value of a trigonometric function (cosine function) associated with an angle must be found:

cos θ = x / r

Where:

If we know that x = 9 and r = 15, then the exact value of the trigonometric function is:

cos θ = 9 / 15

cos θ = 3 / 5

To learn more on trigonometric functions: https://brainly.com/question/25618616

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Answer:

D

Step-by-step explanation:

cannot be determined without side lengths

Answer:

B. 2

Step-by-step explanation:

f(2) means the value of y when x = 2.

Look in the graph. Start at (0, 0), which is the point where the x-axis and the y-axis intersect. Now go 2 units to the right. That is where x = 2. Go up from there until you get to the red curve and stop. Now look to the left to see at what y-value you are. It is 2 on the y-axis. Since at x = 2, y = 2, then

f(2) = 2

Answer:

50j

Step-by-step explanation:

workdone = force x distance

workdone = 20x2.5

50j

Answer:

The variable, the number of golf balls, is modeled by an orange x tile.

Finding 8 more golf balls is modeled by 8 orange + tiles.

The expression that represents the situation is x + 8.

Answer:

x-1 tile

Step-by-step explanation: trust me

Answer:

The exponential function is that of decay

The percentage decrease is by 3%

Step-by-step explanation:

The exponential equation we are considering is;

y = 550(0.97)^x

Now to know if it’s decay or growth, we shall be considering what we have in the bracket

Mathematically, we can express 0.97 as follows

0.97 = 1-0.03

So what does this means? There is a decrease in subsequent values from one value of y to another.

This means that the equation is for decay as what the term raised to an exponent is less than 1.

Now we want to determine the percentage rate of increase or decrease

What we need to do is to represent the 0.03 difference in fraction

That would be 3/100

So this means that the percentage decrease is by 3%

Answer:

6

Step-by-step explanation:

It takes 6 hours to reach -18°C. Therefore, option A is the correct answer.

Given that, the temperature at noon=-3°C, every hour temperature decreased by -2.5°C.

Multiplying Decimals has the same procedure as that of multiplication of the whole numbers, except for the placement of the decimal point in the product.

Now, every hour temperature decreases by -2.5°C, we need to find how many hours it takes to -18°C.

So,  -2.5×6=-15°C

Then, final temperature=initial temperature+increased temperature.

=-3°C+(-15°C)=-18°C

Therefore, option A is the correct answer.

To learn more about the integers visit:

https://brainly.com/question/15276410.

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Answer: Option D: R = {3, 9, 12}

Step-by-step explanation:

The range of a function is the set of the possible outputs of a function:

if we have the function f(x) = y, the values of x are the domain, and the values of y are the range.

In the image, the set at the right is the output, so the set in the right is the range.

such that we have the pairs (-2,3) (2, 3) (3, 9) (4, 12)

So the range will be R = {3, 9, 12}

Answer:

8

Step-by-step explanation:

[tex] - 8 {x}^{2} + 24 \\ = 8( - {x}^{2} + 3) \\ [/tex]

Answer:

8

Step-by-step explanation:

-8(x^2-3)

Answer:

Opaca= 290kg   Llama=160kg

Step-by-step explanation:

x+y=450

3x=190+y