if 3(2x+5)=90, what is the value of x

The image of the function after the translation is h(x) = 6x - 3

The given parameters are:

f(x) = 6x + 2

The transformation is given as

f(x) - 5

This implies that we translate the function f(x) 5 units down

Mathematically, this transformation can be represented as

(x, y) = (x, y - 5)

When represented as a function, we have

h(x) = f(x) - 5

Substitute the equation f(x) = 6x + 2 in the equation h(x) = f(x) - 5

So, we have the following equation

h(x) = 6x + 2 - 5

Evaluate the like terms

h(x) = 6x - 3

Hence, the equation of h(x) is h(x) = 6x - 3

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Possible question

Given that the equation of f(x) is f(x) = 6x + 2

Write the transformed equation for f(x) -5, calling it h(x)

The probability of selecting a junior who usually drinks bottled water is 0.0156. This is calculated by finding the probability of each separate event (being a junior and drinking bottled water) and multiplying them together.

To find the probability of selecting a junior who usually drinks bottled water, first calculate the probability of being a junior. There are 12 juniors out of a total of 30 students, so the probability of being a junior is 0.4. Then, calculate the probability of usually drinking bottled water. There are 10 students who usually drink bottled water out of a total of 30, so the probability of usually drinking bottled water is 0.3333. Finally, multiply the probabilities together to get the overall probability of 0.0156. This can be rounded to four decimal places to get the final answer of 0.0156.

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By using proportionality theorem, the equation that expresses the statement is written as

1) T = kx

2) w = kyz

3) x = ks/t

4) A = kt²/y³

Proportionality

In math, a proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Given,

Here we have to find the equation that expresses the statement by using the k as the constant of proportionality.

Here we know that the value of the constant of proportionality is k.

Then the equation for the statement are,

1- T varies directly as x. And it can be written based on the constant proportionality,

=> T = kx

2- w is jointly proportional to y and z

Then the statement is written as,

=> w = k x y x z

=> w = kyz

3- x is proportional to s and inversely proportional to t.

Here we have to use the inverse proportional to write the statement,

=> x = k x s x 1/t

=> x = ks/t

4- A is proportional to the square of t and inversely proportional to the cube of y

Here first we have to take the square on t, then we get t² and then have to take cube on y, then we get y³,

then the equation is written as,

=> A = kt²/y³

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Answer:

???

Notes:

Hi, sorry, but I can't really do this if I don't know what 15 shirts cost, or if there isn't an equation of some sort. (Sorry again...)

Answer:

Method 1: factors of 72: 1, 2, 3, 4, 6, 8, 12, 24, 9, 18, 36, 72 factors of 48: 1, 2, 3, 4, 6, 8, 12, 24, 16, 48 Therefore, the greatest common factor of 48 and 72 is 24.

Answer:

N=394

97+23= 120

514-120= 394

N=394

Step-by-step explanation:

Answer:

\(0.455\)

Step-by-step explanation:

Divide the number of round blue blocks in the box from the total number of round blocks in the box. Remember that only the round blocks are in the box.

\(\dfrac{\# \textrm{ of blue blocks}}{\textrm{total }\# \textrm{ of blocks}} = \dfrac{5}{5 + 2 + 4}\)

\(= \dfrac{5}{11}\)

\(\approx 0.455\)

Answer:

z

Step-by-step explanation:

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2)   +   3 * (4x-2)

First we distribute the 2x

2x * 4x  =  8x^2        and        2x * -2  =  -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x  =  12x        and        3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

Answer:

or,180=3x

or,x=180+3

or,x=183 answer

Answer:

54

Step-by-step explanation:

there are 2 ways

(180 - 18) ÷ 3 = 54

(360-18-18) ÷ 6 = 54

same answer

Answer:

x = 5

Step-by-step explanation:

Given g(x) = - x + 5 and g(x) = 0 , then equate the right sides

- x + 5 = 0 ( subtract 5 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Answer:

what's the question? I don't know

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

The answer is 15 because that is what it is.

Answer:

the coordinates of the reflected point are (-85, -40).

answer 5,852

              76    

_           ___

7,700    100

76 times 7700 is 585200

divide 585200 by 100 and you get 5,852

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Answer:

10 Minutes

Step-by-step explanation:

To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

  48 sq in

Step-by-step explanation:

Given ∆ABC ~ ∆DEF, DE = 60, AB = 12, and the area of ∆DEF is 1200 square inches, you want the area of ∆ABC.

For similar figures, the ratio of areas is equal to the square of the ratio of their linear dimensions:

  (Area ∆ABC)/(Area ∆DEF) = (AB/DE)²

  Area ∆ABC = (1200 sq in) × (12/60)² = 1200/25 sq in

  Area ∆ABC = 48 sq in

Numbers greater than zero but less than one have squares that are smaller.

Consider the number one-half (1/2); half of a half is a quarter (1/4 < 1/2)!

Of course, the square of a negative number is greater (since a negative squared is positive).

Only the numbers zero and one are equal to their squares.

another explanation:

Yes .

In fact there is an infinite number of numbers that have that condition. For example (1/2)² = 1/4.

In fact any positive number ’n’ such that 0<n<1 is a number which has a smaller number when squared.

For the inequality  -5 < 4x + 3 ≤ 7 the  combined solution are x < -2 and x ≤ 1.

To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:

Solve the inequality -5 < 4x + 3:

-5 < 4x + 3

Subtract 3 from both sides:

-5 - 3 < 4x

-8 < 4x

Divide both sides by 4

-8/4 > x

-2 > x

x < -2.

Now let's solve the inequality 4x + 3 ≤ 7:

4x + 3 ≤ 7

Subtract 3 from both sides:

4x ≤ 7 - 3

4x ≤ 4

Divide both sides by 4:

x ≤ 1

Therefore, the combined solution is x < -2 and x ≤ 1.

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The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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Answer:

The park owners should take into account the population of children in the community, if there are a good number of kids living in that area and the towns nearby - there would be a great demand for another roller coaster. They should consider the safety measures on the particular roller coaster they intend to add and check for the available space where they plan to fit the ride in the park.

Hope that answers the question, have a great day!