3. What is the best description of the function in Item 2?

Answer:

=28

Step-by-step explanation:

Have a great day :)

Answer:

32 - 4 = 28

Step-by-step explanation:

just replace the plus sign since there is a negative

⇒ 32% of the people who prefer French fries also prefer pizza

⇒ 60% of the people surveyed prefer burgers, and 40% prefer pizza.

To find out what percentage of people who prefer French fries also prefer pizza,

According to the given information.

60% of the people surveyed prefer burgers over pizza, and of those people, 48 prefer french fries over salad.

This means that 40% of the people surveyed prefer pizza over burgers.

Now, we have to find out what percentage of the people who prefer French fries also prefer pizza.

We know that 48 people prefer French fries over salad,

But we don't know how many of those people prefer burgers or pizza. However, we do know that all of the people surveyed fall into one of these categories:

They either prefer pizza or burgers.

Therefore,

Assume that the remaining 52% of the people surveyed prefer burgers over pizza.

To find the percentage of people who prefer French fries and pizza,

Use a proportion:

⇒ 48 / (40% of 75) = x / 100%

Solving for x, we get:

⇒ x = (48 / (40% of 75 ) x 100%

      = 32%

Therefore,

32% of the people who prefer French fries also prefer pizza.

To find out what percentage of people prefer pizza,

We know that 40% of the people surveyed prefer pizza over burgers, and we know that 28 of the people who prefer pizza also prefer salad.

To find the percentage of people who prefer pizza,

Use a proportion:

⇒ (40% of 75) = y / 100%

Solving for y, we get:

⇒ y = (40% of 75) x 100% = 30

Therefore,

30 people prefer pizza.

To find the percentage of people who prefer pizza, we can use another proportion:

⇒ 30 = (100% - z) / 100% x 75

Solving for z, we get:

z = 60%

Therefore, 60% of the people surveyed prefer burgers, and 40% prefer pizza.

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Answer:

P = 3300 Watts

Step-by-step explanation:

The question says "An electric shower with any of our houses consumes 30A and is powered at 110V. what is the power consumed by the shower".

Current, I = 30 A

Voltage, V = 110 V

We need to find the power consumed by the shower. We know that power is given by the formula.

P = VI

So,

\(P=110\times 30\\\\P=3300\ W\)

So, the required power is 3300 Watts.

Answer:

14

Step-by-step explanation:

1 hour = 60 minutes

5*60=300 minutes

300+15 minutes

315/45

7*2=14

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

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of complementary angles comes out to be x = 55° and y =125°.

A pair of angles is considered to be complementary if their sum equals 90 degrees. Two angles are referred to as submissive if their sums total 180 degrees. Follow-up pain Utilizing fresh gruesome milk, as usual Prior to, before, ahead of The angles of thirty and sixty degrees, for example, are supplementary. In contrast to a supplemental angle, which is two angles joined to create a 90 degree angle, a supplementary triangle tilt is two possible approaches combined to create a 180 degree angle. If the sum of two angles is 90 degrees, they are said to be complementary. A straight angle, to put it another way

Here,

Given :  complementary angle one of the angle is 35°

=>  x+ 35° = 90°

=> x = 55°

Let y be the supplement of angle x

=> x+ y = 180°

=>55° + y =180°

=>y =125°

Therefore , the solution of the given problem of angle comes out to be

x = 55° and y =125°.

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Answer:

Step-by-step explanation:

10x+y=10y+x-18 multiply the tens digit by 10 and leave the one's digit alone

9x=9y-18 divide by 9

x=y-2

x-y=-2

x+y=10

add above two equations

2x=8 divide by 2

x=4

y=10-4=6

numbers are 46 and 64

64=46+18 4+6=10

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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perdon ese fue mi error jaja señorita lee algunos números

Answer:

4x(3+2) = 12x + 8x = 20x

4x(3+2) = 4x(5) = 20x

Hope this helps!

Mark as brainliest plz

Answer:

20x

Step-by-step explanation:

Way 1: Simplify parentheses first:

4x (5)=20x

Way 2: Open parentheses:

4x (3+2) = 4x*3 + 4x*2= 12x+ 8x= 20x

The inequality is 3y-2x=13

As shown in the attached graph, the shadow area is the inequality includes points (-2,3), (1,5) and not containing the points (-1,2)(4,4).

( The basic property of inequality :

when x = -1, y = 2, 3y-2x= 8 <13

when x=4, y=4, 3y-2x= 4 <13 )

Hope it helps

The number of freezers that can be shipped depends on the weight of an oven.

Total Weight: 42000 pounds

Weight of 90 ovens: 90w, where w is the weight of each oven.

Remaining weight to fill with freezers: 42000-90w

Weight of each freezer: 600 pounds

# of freezers that could be shipped: Remaining weight / freezer weight = (42000-90w)/600 = 70-3/20w

ANSWER: \(70-\frac{3}{20}w\), where \(w\) is the weight of each oven

Answer:

Los números naturales incluyen solo enteros positivos y comienzan desde 1 hasta infinito

Answer:

x=m2-67

Step-by-step explanation:

Answer:

x=m2-67

is the actual answer I

Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

Answer:

POSITIVE

Step-by-step explanation:

Because the product of 2 negative numbers is a positive number

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

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A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Answer:

210=85+125-x+25

x= 235-210

x=25 failled in both

Step-by-step explanation:

We write the linear function as f(x)=3.5x+1 for the graph.

Linear function means a linear equation. As per given statement, we need to write an equation for straight line. We are given four-point in the XY coordinate.

We use the formula line passes through two points. The required function

should be in the form f(x) =mx+b or y=mx+b

given points are (0,1) (1,4.5) , (-1,-2.5) (-2,-6)

slope of line passes through first two points is=m= (y₂-y₁)/(x₂-x₁)= 3.5

slop of last two points is = m= 3.5

hence, four points lies in the same straight line

the equation of line, y= 3.5x+b

as the line passes through (-2,-6)

                                  -6=3.5×(-2)+b

                                 b=1, b is a constant

         hence, the linear function is f(x)=y=3.5x+1

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Answer:

-5, -4

Step-by-step explanation:

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The domain and range of the graphed function

Domain; -5 ≤ x < 1

Range; -4 ≤ y < 7

Simply expressed, the domain is the collection of all potential input values. This means the values on the graph's x-axis. Meanwhile, the range is the collection of all output values, which in this case are the y-axis values.

Now, from the graph, we see that the line stopped at 2 points.

The bottom one is darkened, indicating that it contains the numbers at that point.

So, the domain as x ≥ -5

While the range will be as follows;  y ≥ -5

The location where it is not coloured on the graph for the second point above indicates that the coordinates at that point are not included in the range or domain.

Hence, the domain here is; x < 1

and, y < 7 is the range.

Now, combining the Domain and Range as

Domain = -5 ≤ x < 1

Range; -4 ≤ y < 7

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Answer:

(-6, -4).

Step-by-step explanation:

When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.

The original coordinates for F are (6, -4).

The new coordinates for F would be F' (-6, -4).

The proportional relationship that gives the cost of x tickets is:

\(y = 18x\)

\(y = kx\)

Two tickets to an ice skating performance costs $36, hence, when \(x = 2, y = 36\), then:

\(y = kx\)

\(36 = 2k\)

\(k = \frac{36}{2}\)

\(k = 18\)

Hence, the relationship is described by:

\(y = 18x\)

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the price of 10.75 ounces is 15.65 $

1-ounce price is 15.65/10.75 $

so 128 ounces or 1-gallon price is

thus after rounding off the price per gallons is 186. 34 $

Answer:

It is the first graph

Step-by-step explanation:

Just got it right on the test review :)

Inequalities help us to compare two unequal expressions. The graph shows that all the values of x that satisfies the given inequality are x>7. Thus, the correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as,

\(\dfrac29(x+3) > 4(\dfrac59)\\\\\dfrac{2x+6}{9} > \dfrac{20}{9}\\\\2x + 6 > 20\\\\2x > 20 - 6\\\\x > \dfrac{14}{2}\\\\x > 7\)

Hence, the graph shows that all the values of x that satisfies the given inequality are x>7. Thus, the correct option is A.

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