Given the functions f(x)=6x-3 and h(x)=10x+5, find the value of x for which f(x)=h(x)

Answer:

-37

Step-by-step explanation:

-24+(-65) /5

-24 + (-13)

-37

Answer:

-37

Step-by-step explanation:

-24+(-65)/5

-24+(-65/5)

-24 - 13

-37

Answer:

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Answer:

a) 2.4 b) 2, -3

Step-by-step explanation:

sorry I only know a and b since yea

Answer:

B. 2 and 4 es la respuesta correcta

The inequality that describes the problem is C. 8x ≤ 16

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:

8x ≤ 16

The correct option is C.

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Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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The number of pages in each section is 8 (1/8).

A fraction is a part of the whole represented by a/b, where a and b are any integers.

Given that, Mr. Stanford wrote 65 pages of a travel brochure, and he wants to divide it into 8 equal sections.

The number of pages in each section is given by:
65/8

= 8 (1/8)

Hence, the number of pages in each section is 8 (1/8).

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The calculated scale factor from ABC to A'B'C is 1/3

From the question, we have the following parameters that can be used in our computation:

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

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Answer:

D (-2,6)

x=y-8;5x+y=-4

Step: Solve x=y−8for x:

Step: Substitute y−8 for x in 5x+y=−4:

5x+y=−4

5(y−8)+y=−4

6y−40=−4(Simplify both sides of the equation)

6y−40+40=−4+40(Add 40 to both sides)

6y=36

6y /6 = 36/ 6  (Divide both sides by 6)

y=6

Step: Substitute6foryinx=y−8:

x=y−8

x=6−8

x=−2 (Simplify both sides of the equation)

x=−2 and y=6

I hope this helps:

Step-by-step explanation:

1. 35 + 65

2. y - 14

3. (6 x s) - 3

4. 10(x+8.5).. 6-p

Answer:

I will translate and will be right with you

Step-by-step explanation:

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

The required solutions of the functions are given as follows,

1. f(−7) = 35

2. f(−1) =  -1

3. f(0) =  1

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1 .
for x = -7
f(x) = x² + 2x
f(-7) = (-7)² + 2(-7) = 35

2.
for x = -1
f(x) = x² + 2x
f(−1) = (-1)² + 2(-1) = -1

3.
For x = 0
f(x) = x + 1

f(0) = 0 + 1 =  1

Thus, the required solutions are given as follows,

1. f(−7) = 35

2. f(−1) =  -1

3. f(0) =  1

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From the given list, we can choose the numbers 80 and 65 as potential values for the variable representing the height (in inches) of a bookcase.

Let's go through each number and reason why it could represent the height of a bookcase:

-80: It is highly unlikely for a bookcase to have a negative height as it implies being below ground or submerged. Negative heights do not make sense in this context, so we can eliminate -80 as a viable option.

10208: This number seems unreasonably high for the height of a bookcase. Most bookcases are not taller than a few feet or a couple of meters. A height of 10208 inches would be more than 850 feet, which is much larger than any standard bookcase. Therefore, we can eliminate 10208 as a realistic option.

80: This is a plausible height for a bookcase. Many bookcases range in height from a few feet to around six or seven feet, and 80 inches falls within this typical range.

65: Similarly, a height of 65 inches is also plausible for a bookcase. Smaller bookcases or shelves designed for specific purposes, such as children's bookcases or shorter units, often have heights around this range.

Based on these considerations, we can conclude that the numbers 80 and 65 are reasonable options for representing the height of a bookcase.

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Answer:

Christopher= 20 and Tiara= 55

Step-by-step explanation:

Christopher has 20

Tiara has 55

if I am not wrong those should be the right ages they have to form 75.

tell me if I am wrong.

The average rate of change of the temperature from 6 to 10 pm is given as -1.5. Option C is correct

From 6 pm to 10 pm we have a total of 4 hours that is in between this period of time.

From the table the temperature at 6 pm is 34, the temperature at 10 pm is 28 degrees

Such that we would have:

\(\frac{28-34}{4}\)

= -6 / 4

= - 1.5

Hence we would have that Negative 1.5 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from 6 PM to 10 PM.

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The statement made by Diego is correct.

In order to determine the number of groups of 5/6 that are in 1, 1 would be divided by 5/6.

1 ÷ 5/6

= 1 x 6/5 = 6/5

6/5 is called an improper fraction because the numerator is greater than the denominator.

6/5 can also be rewritten as a mixed fraction. If it is rewritten as a mixed fraction, it becomes 1 1/5.

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Given question is incomplete , the complete question is given below:

Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? Explain or show your reasoning.

Answer: sorry not sure but i'll work it out.

Step-by-step explanation:

Answer: 245

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Michael has made 3.21 batches of granola.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Michael has a granola recipe that requires 14 pounds of oats to make one batch of granola.

If Michael uses 45 pounds of oats while making granola,

then number of batches he made,

= 45 /14

= 3.21

Hence, he made 3.21 batches.

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From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer: the answer is definitely a



Step-by-step explanation:

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

\(4 \frac{1}{4}\)

Step-by-step explanation:

\(115 \frac{3}{5} = (27\frac{1}{5} ) (x)\\\\115 \frac{3}{5} / 27\frac{1}{5} = x\\\\x = 4.25... or... 4 \frac{1}{4}\)

The volume of the triangular prism that is given above would be = 6cm³. That is option B.

To calculate the volume of the triangular prism, the formula that should be used would be given below as follows;

Volume of triangle prism = ½×b×h×l

base length = 12 mm = 1.2cm

height = 2.5cm

length = 4cm

Volume = 1/2 × 1.2× 2.5× 4

= 6 cm³

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The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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