Use
f(x) = 2x − 3
and
g(x) = 4 − x2
to evaluate the expression.

Answer:

12

Step-by-step explanation:

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

To learn more about functions visit:

https://brainly.com/question/29051369?referrer=searchResults

#SPJ1

Answer: 0.39

Step-by-step explanation:

Given the following classification :

Heavy smokers (H) = 10%

Light smokers (L) = 20%

Non smokers (N) = 70%

Given that :

The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively

Let probability of death = D

P(D | N) = d

P(D | H) = 5d

P(D | L) = 3d

Hence,

P(D) = [P(H) * P(D | H) + P(L) * P(D | L) + P(N) * P(D | N)]

P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]

P(D) = [0.5d + 0.6d + 0.7d]

P(D) = 1.8d

A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.

P(N | D) = [P(N) * P(D | N)] / P(D)

P(N | D) = 0.7d / 1.8d

P(N | D) = 0.3888

= 0.39

Answer: Its quadrant 3

Step-by-step explanation:

Hope this helps!

Answer:

Quadrant 3

Step-by-step explanation:

Lets have an example

Lets say we are plotting the point (-4,-4)

so, we would go left on the x-axis, to -4. So we will be in either Quadrant 2 or Quadrant 3

Now we go down 4, so we end up in Quadrant 3

Hence, The answer is Quadrant 3

Hope this helps!^^

Answer:

It is D.

Step-by-step explanation:

proof I just took it

Answer:

3.99kg

Step-by-step explanation:

you can find it by 4kg minus 1 g that stills counts as rounding

Answer:

A: \(3\frac{1}{3}\)

B: \(3\frac{2}{3}\)

I hope this helps!

pls ❤ and mark brainliest pls!

Answer: (0,4), (6,0), (0, -6)

Step-by-step explanation:

Dilating at the origin means we can multiply each of the coordinates by the scale factor. In this case, this means we multiply each of the coordinates by 2.

Answer: 22 quarters

Step-by-step explanation:

Let N be the number of nickels.

Then the number of quarters is (55-N)

The nickels  contribute 5N cents to the total.

The quarters contribute 25*(55-N) cents to the total.

5N + 25*(55-N) = 715

5N + 1375 - 25N = 715

-20N = 715 - 1375 = -660

\(N=\frac{-660}{-20}\)

\(=33\)

\(55-33=22\)

So there is 22 quarters inside the jar.

Check to see if my answer is correct-

33*5 + 22*25 = 715 cents

Answer:

1

Step-by-step explanation:

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

=1

Hey!

Heres how i got the answer

4^(5)×4^(−7)÷4^(−2)

=4^(5+(-7)-(-2))

=4^(5-7+2)

=4^(0)

Hope this helps!

Answer: x = 2.

LN = MP = 2.

Solution in the photo, below.

To make the dough, he'll need 5 3/4 cups of floor.

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a portion or part of a whole. It symbolizes the equal parts of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.

Here,

10 1/4 cups of flour needed to make a batch=41/4 cups

4 1/2 cups of floor is there=9/2 cups

flour does he need to make the dough,

=41/4-9/2

=(41-18)/4

=23/4

=5 3/4 cups

He needs 5 3/4 cups of floor to make the dough.

To know more about fraction,

https://brainly.com/question/8969674

#SPJ1

Answer:

180 degrees, 120 degrees, 90 degrees

Step-by-step explanation:

each hour is 30 degrees.

at 6 o'clock the hands are straight, at 4 o'clock they make a 120 degree angle, and at 3 o'clock they make a right angle

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

300 feet an hour

Step-by-step explanation:

in three hours they went down 1200 feet so that means in 1 hour they will go down 300 feet if they take no break

Answer:

\(y=\dfrac49x\)

Step-by-step explanation:

Let \((x_1,y_1)\) = (45, 20)

Let \((x_2,y_2)\) = (72, 32)

using slope formula to find slope \(m\):

\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{32-20}{72-45}=\dfrac49\)

using point-slope formula:

 \(y-y_1=m(x-x_1)\)

\(\implies y-20=\dfrac49(x-45)\)

\(\implies y-20=\dfrac49x-20\)

\(\implies y=\dfrac49x\)

Answer:

No:

Step-by-step explanation:

No, there is no way to further simplify this equation, unless there is a value for x.

Answer:

No. x-2 can't.

Step-by-step explanation:

Its the same reason why you can't simplify 1+1. You could add them together, but in a case like this, where one number is unknown you can't. The number is already to its simplifiest form.

Answer:

151

Step-by-step explanation:

Answer:

152 miles

Step-by-step explanation:

There are 2 Xs above 20 1/2, so she rode that distance twice. There are 3 Xs above 22 1/2, so she rode that distance three times. The other distances with Xs she only did once. We add up the distances for each X to get the total:

20.5 + 20.5 + 21.5 + 22 + 22.5 + 22.5 + 22.5 = 152 miles

Answer:

4) a=35°

Step-by-step explanation:

I can't explain its too complicated

The algebraic expressions, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) and \(5x + 3\) are equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)

To determine whether each expression is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\), apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify \(2x + 4y - 5 + 3x + 8 - 4y\) as follows:

Add like terms

\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3\)

Next, compare or simplify where necessary each of the given algebraic expressions with \(5x + 3\)

First Option

\(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\)

Add like terms together

\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3\)

Therefore, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)

Second Option:

\(6xy + 3 - 4y\) (cannot be simplified further)

\(6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y\)

Therefore:

Third Option:

\(-8y + 5x - 3\) (cannot be simplified further)

\(-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y\)

Therefore:

Fourth Option:

\(5x + 3\)

\(5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y\)

Therefore:

Thus, the algebraic expressions that are equivalent to  \(2x + 4y - 5 + 3x + 8 - 4y\) are:

Learn more about algebraic expressions here:

https://brainly.com/question/15122459

Answer:

4k+11=4011

Step-by-step explanation:

7k - 3k=4k

4k+11=4011

If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side​ are:  17, 20, and 21.

To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:

   9 + 12 > x

   9 + x > 12

   12 + x > 9

Simplifying these inequalities, we get:

   x > -3 (always true)

   x > -9 (always true)

   x > -3 (always true)

Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).

The possible lengths for the third side are:

   9 + 12 > x, so x < 21

   9 + x > 12, so x > -3

   12 + x > 9, so x > -3

Therefore, the possible lengths for the third side of the triangle are:

   17 (9 + 12 = 21, which is greater than 17)

   20 (9 + 12 = 21, which is greater than 20)

   21 (9 + 12 = 21, which is equal to 21)

So, the three possible lengths for the third side of the triangle are 17, 20, and 21.

Learn more about length here:https://brainly.com/question/2217700

#SPJ1

The complete question is:

A triangle has one side length of 9

centimeters (cm) and another side length of 12

cm.

Which answers are possible lengths for the third side?

Select three that apply

17

22

9

21

20

3

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

For more such questions on angle

https://brainly.com/question/31615777

#SPJ8

SOLUTION

The figure in the question is a cuboid with

length = 7 cm, width = 3cm and height = 4cm

Surface area of a cuboid is given as

Hence the answer is 122 square-centimeters

Answer:

Yes. At a significance level of 0.05, there is enough evidence to support the claim that the fish in all Florida lakes have different mercury than the allowable amount.

The random variable is the sample mean amount of mercury in the bass fish from the lakes of Florida.

The population parameter is the mean amount of mercury in the bass fish of Florida lakes.

The alternative hypothesis (Ha) states that the amount of mercury significantly differs from 1 mg/kg.

The null hypothesis (H0) states that the amount of mercury is not significantly different from 1 mg/kg.

\(H_0: \mu=1\\\\H_a:\mu\neq 1\)

Step-by-step explanation:

The question is incomplete.

There is no data provided.

We will work with a sample mean of 0.95 mg/kg and sample standard deviation of 0.15 mg/kg to show the procedure.

This is a hypothesis test for the population mean.

The claim is that the fish in all Florida lakes have different mercury than the allowable amount (1 mg of mercury per kg of fish).

Then, the null and alternative hypothesis are:

\(H_0: \mu=1\\\\H_a:\mu\neq 1\)

The significance level is assumed to be 0.05.

The sample has a size n=53.

The sample mean is M=0.95.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.15.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.15}{\sqrt{53}}=0.0206\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{0.95-1}{0.0206}=\dfrac{-0.05}{0.0206}=-2.427\)

The degrees of freedom for this sample size are:

\(df=n-1=53-1=52\)

This test is a two-tailed test, with 52 degrees of freedom and t=-2.427, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=2\cdot P(t<-2.427)=0.019\)

As the P-value (0.019) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the fish in all Florida lakes have different mercury than the allowable amount.

Answer:

Step-by-step explanation:

The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is

y = 10x + 300

The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is

y = 30x + 100

We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.

10x + 300 = 30x + 100 and

200 = 20x so

x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.

Answer:

A. -0.02

Step-by-step explanation:

-\(\frac{5}{25}\)=-\(\frac{1}{5}\)

1/5 is 20%

-1/5 is -20%

-.02% is greater because it's closer to zero

Answer:

0.0625

Step-by-step explanation:

hope this helps :)

Answer:

I'm confused. Is there more to the question?

Answer:

40

Step-by-step explanation: just subtract