The function graphed below is increasing over the interval x = ∈ (-∞,∞)

True ******
False

Answer:

5/3

Step-by-step explanation:

on both sides we can see that the orginal length of 3 increased to five

therfore if we multiply 3 by 3/5 we get five which means the scale factor is 5/3

Answer:

6

Step-by-step explanation:

-36/-6 = 6

Answer:

The answer is positive 6.

Step-by-step explanation:

Hope this helps!

\(y \geq -3x + 2\\\\y \leq x + 3\)

is the equation of the given system.

Equation of the line using the coordinates (-3, 0) and (0, 3), we get:

slope = (3 - 0) / (0 - (-3)) = 1

Now we have the slope of the line. Next, we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Using the point (-3, 0) and the slope we just found (which is also the slope of the line passing through the point (0, 3)), we get:

y - 0 = 1(x - (-3))

Simplifying, we get:

y = x + 3

Therefore, the equation of the line passing through (-3, 0) and (0, 3) is y=x+3.

Similarly, the equation of the line passing through (1, -1) and (0, -4) is y = -3x + 2.

Thus, from the graph the equation of the system is,

\(y \geq -3x + 2\\\\y \leq x + 3\)

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Answer:

6x^2-17x+12

Step-by-step explanation:

took the test

Answer:

y = 3x + 3

slope = 3 y-intercept = 3

Step-by-step explanation:

check:

y = 3(2) + 3

y = 6 + 3

y = 9

(2,9)

A function assigns the values. The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).

A function assigns the value of each element of one set to the other specific element of another set.

The interval for which the given function will be decreasing is from point A to point B, and then from point C to point D. Therefore, the interval will be (-∞, -1) and (0,∞). Hence, The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).

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Answer:

The volume will be 64 times larger.

Explanation:

When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.

TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.

In case I explained it badly, here is a more mathematical method to find the answer:

The formula for volume:

V = l * w * h

When you multiply each dimension by 4:

V = (4 * l) * (4 * w) * (4 * h)

Rearrange with the Commutative Property of Multiplication:

V = (4 * 4 * 4) * (l * w * h)

Simplify:

V = 64 * l * w * h

Therefore, the volume is 64 times greater.

Answer:

the ways customers could get in financial trouble with thier credit cards are:

The Allure of Excessive Spending Interst Makes Paying Off the Balance Difficult. There's a chance you'll end up in debt.

You run the risk of damaging your credit score.

Minimum payments can give the impression of safety.

Credit Card Terms Can Be Confusing.

It's more difficult to keep track of spending, especially 

when using multiple credit cards.

Step-by-step explanation:

-

The expression which represents the number of pieces of cargo is c/162.68 = x, where c is the weight of the cargo in pounds, and x is the number of pieces of cargo.

Given that the space shuttle carries c pounds of cargo, and each piece of cargo weighs 162.68 pounds. We have to determine which of the following expressions represents the number of pieces of cargo.

Let's assume that the number of pieces of cargo be x.

Therefore, the weight of x pieces of cargo will be 162.68x = weight of cargo. The expression which represents the number of pieces of cargo can be written as: c/162.68 = x

This is because the total weight of the cargo is c pounds, and we know that each piece weighs 162.68 pounds.

Therefore, to find the number of pieces, we can divide the total weight by the weight of each piece, which gives us the expression c/162.68 = x, where x is the number of pieces of cargo.

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Answer:

Square

Step-by-step explanation:

Probably square

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Accordingly, the screw can have a maximum length of   \(68.00 mm\) plus \(0.03 mm, or 68.03 mm\), and still pass inspection. This indicates that \(68.00 mm\) minus \(0.03 mm\)  , or  \(67.97 mm,\) is the smallest length the screw can have and still pass inspection.

Upper Limit: \(68.00 mm + 0.03 mm\)

This represents the upper bound of the allowable length variation for the screws. The nominal length of the screw is 68.00 mm, and the allowable tolerance is +0.03 mm.

Lower Limit: \(68.00 mm - 0.03 mm\)

This represents the lower bound of the allowable length variation for the screws. The nominal length of the screw is 68.00 mm, and the allowable tolerance is -\(0.03 mm.\)

Therefore, This means that the maximum length the screw can have and still pass inspection is \(68.00 mm + 0.03 mm\), which equals \(68.03 mm\). This means that the minimum length the screw can have and still pass inspection is \(68.00\) mm - 0.03 mm, which equals  \(67.97\) mm.

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Answer:

x=15

Step-by-step explanation:

3*5=15

Answer:

x = 15

Step-by-step explanation:

x/3 = 5

3* x/3 = 3*5

x=15

In simplified form... multiply both sides by 3 to get x by itself and you should get, x = 15

Because in the first expression 4 was factored out to make it 4(2y-6). Before 4 was factored out the expressions were the same.

The probability that a randomly selected student takes both computer science and statistics courses is 26%.

Let's call the event that a student takes a computer science course "C" and the event that a student takes a statistics course "S". We want to find the probability that a student takes both C and S, which can be written as P(C ∩ S).

The probability that a student takes at least one of these two courses can be written as P(C ∪ S), which is equal to 63%. This means that 63% of the students take either computer science or statistics, or both.

To find the probability that a student takes both courses, we can use the formula for the intersection of two events:

P(C ∩ S) = P(C | S) × P(S)

where P(C | S) is the probability that a student takes a computer science course given that they also take a statistics course. To find this value, we can use the formula:

P(C | S) = P(C ∩ S) ÷ P(S)

Substituting this into the first equation, we get:

P(C ∩ S) = P(C ∩ S) ÷ P(S) × P(S)

P(C ∩ S) = P(C ∩ S) × P(S)

We know that P(S) = 48% and we can use the formula for the union of two events to find P(C ∪ S):

P(C ∪ S) = P(C) + P(S) - P(C ∩ S)

Substituting in the values we know:

63% = 41% + 48% - P(C ∩ S)

P(C ∩ S) = 41% + 48% - 63% = 26%

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Answer:

117

Step-by-step explanation:

Answer: 129-12=117

Step-by-step explanation: 117 apples would be left.

The amount going to her savings accounts is $192

The given parameters are:

Drawings = 24

Rate = $12

The total amount earned from selling the drawings is:

Total = 24 * $12

Evaluate

Total = $288

She buys books with 1/3.

This means that she saved 2/3

So, we have:

Savings = 2/3 * $288

Evaluate

Savings = $192

Hence, the amount going to her savings accounts is $192

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The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Answer:

a) 27
b) 19

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: \(V = \pi r^{2} h\)

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches (\(in^3\)).
You're given diameter, so use equation \(d/2 = r\) to find radius.
Substituting these equations will give you: \(V = \pi (d/2)^2 h\)
However, the given volume of the sink is 3000/3\(\pi\) or 1000\(\pi\), meaning that you should modify your results to match this value. Do not substitute \(\pi\) for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 \(\pi\)
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
\(Vsink / V cup =\) # of cups.
Note the the \(\pi\) will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

F

Step-by-step explanation:

Simplify then graph it, find the x-intercept.

y = 3.75 + 1.5 (x - 1)

y = 1.5x + 2.25

When graphed, the x-intercept is 1.5

So it is, $1.50 per mile

Answer:

F. $1.50 per mile

Step-by-step explanation:

In order to solve this, you can first change it to slope-intercept form to find the slope, or rate of change, easier:

y = 3.75 + 1.5(x - 1) (given)

y = 3.75 + 1.5x - 1.5 (multiply 1.5 by each term in the parenthesis)

y = 2.25 + 1.5x (subtract 1.5 from 2.25)

y = 1.5x + 2.25 (order the terms by exponent value)

In slope-intercept form, the m (slope) of this equation is 1.5, so the rate of change is $1.50 per mile (with an initial fee of $2.25).

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Given:

A number line.

To find:

The correct values for points A, B, C and D.

Solution:

From the given number line is it clear that there are three marks between any two consecutive integers which divide the number line between those integers in 4 equal parts.

It means, one mark = \(\dfrac{1}{4}\).

In the number line, point A is at -2. So,

\(A=-2\)

D is 1 mark below 0.

\(D=-\dfrac{1}{4}\)

C is mark below -1.

\(C=-1-\dfrac{1}{4}\)

\(C=-(1+\dfrac{1}{4})\)

\(C=-1\dfrac{1}{4}\)

B is 3 units below -1.

\(B=-1-3(\dfrac{1}{4})\)

\(C=-1-\dfrac{3}{4}\)

\(B=-(1+\dfrac{3}{4})\)

\(B=-1\dfrac{3}{4}\)

So, \(A=-2,B=-1\dfrac{3}{4},C=-1\dfrac{1}{4},D=-\dfrac{1}{4}\)

Therefore, the correct option is A.

Answer:

3x = 6y

Step-by-step explanation:

8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.

Answer:

Diameter = 53.41 m

Step-by-step explanation:

2517/15 = 167.8 (circumference)

D=(C/pi)

C/pi = 53.41

D= 53.41