Mathematics College

Can anyone answer this? Thanks for help :)

Answers

Answer 1

Answer:

$y = - \frac{1}{7} x - \frac{5}{2}$ so the 4th option

Step-by-step explanation:

So we know the link will be in slope-intercept form which is y=mx+b

It gives us the slope ("m") so we can fill in that part of the equation:

y = $-\frac{1}{7}$x + b

The line has to pass through a certain point, so to find our b (the y-intercept of the line) we will plug in that point and solve for b:

$\frac{1}{2} = -\frac{1}{7}(-21) + b$

Now we solve:

$\frac{1}{2} = -\frac{1}{7}(-21) + b \\\\ \frac{1}{2} = 3 + b\\\\\\-\frac{5}{2} = b$

Now we have our b, we will plug it into the part of the equation we have, and bam, there is our answer!

$y = - \frac{1}{7} x - \frac{5}{2}$

Related Questions

A catering company charges a flat fee of 120$ to cater an event...

Answers

The set of numbers greater than 20

A 0.60-kg basketball is dropped out of a window that is 6.1mabove the ground. The ball is caught by a person whose handsare 1.5m above the gound.1. How much work is done on e the ball by its weight?What is the gravitational potential energy of the basketball,relative to the ground, when it is ... 2. released and 3. caught?4. How is the change (PEf- PE0) in the ball'sgravitational potential energy related to the workdone by its weight?

Answers

work is done on ball by its weight; Wg = 27 Jgravitational potential energy; Ug0 = +36 Jgravitational potential energy relative to the ground; Ugf = +8.8Jchange (PEf- PE0) = -27 J.Explain the term gravitational potential energy?The energy that an object has or acquires when its position changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

The work that gravity does;

W = F.S = mgΔh

In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.

W = mgΔh

g = 9.8 m/s²

Δh = 4.6 m

m = 0.60 kg

W = 0.60 x 9.80 x 4.6

W = 2.7 J

The source of gravitational potential energy in relation to the ground is;

U = mgh

The release point therefore

Ug = mgh(0)

U0 = 0.60 x 9.8 x 6.1

U0 = 35.87 J

At the point of release

U(gf) = mgh(f)

U(gf) = 0.60 x 9.80 x 1.5

U(gf) = 8.820 J

Gravitational potential energy changes are;

ΔU(g) = U(gf) - U0

ΔU(g) = 8.820 J - 35.87 J

ΔU(g) = -27.05 J

Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.

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A 0.60-kg basketball is dropped out of a window that is 6.1mabove the ground. The ball is caught by a

Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1 1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!

Answers

f(-3)

-3≤-1, so we must use the 7/2+2x function.

Insert x into the function that has a true domain statement:

f(-3)=7/2+2(-3)

Evaluate:

f(-3)=7/2-6

Obtain a common denominator to subtract fractions:

f(-3)=7/2-(6•2/1•2)

Remember, -6 is equivalent to -6/1, so we multiply the numerator and denominator by 2 to get a common denominator.

Simplify:

f(-3)=7/2-12/2

Subtract the numerators only; denominators stay as 2:

f(-3)=(7-12)/2

Answer: f(-3)=-5/2

—————————————————————

f(-1)

-1≤-1, so we must use the 7/2+2x function again. We must always check x in all domain piecewise cases.

Let’s evaluate f(-1):

f(-1)=7/2+2(-1)

f(-1)=7/2-2

Obtain a common denominator; -2=-2/1:

f(-1)=7/2-(2•2/1•2)

f(-1)=7/2-4/2

f(-1)=(7-4)/2

Answer: f(-1)=3/2
—————————————————————

f(3)

Let’s check all domain cases. We see the only true statement is: 3≥3, so we must use the 1/4x function.

f(3)=1/4(3)

Answer: f(3)=3/4

Hope this helps! Please give Brainliest

There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = .4, P(F) = .2 and P(E intersect F) = .15.
(a) What is the probability that the individual must stop at at least one light; that is, what is the probability of the event P(E union F)?

Answers

The probability that the individual must stop at at least one light that is 0.45.

What is Probability?

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

P(E) = 0.4P(F) = 0.2 P(E ∩ F) = 0.15.

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. Nash's test. Which student has the higher standardized score

Answers

Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$, the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So $X = 52, \mu = 70, \sigma = 11$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{52 - 70}{11}$

$Z = -1.64$

Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So $X = 52, \mu = 64, \sigma = 6$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{52 - 64}{6}$

$Z = -2$

Due to the higher z-score, David has the higher standardized score

Is (2, 10) a solution to this system of inequalities? y 7 X 1 y > 4x + 2

Answers

yes it is, 700 is greater than 10.

Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Let n represent the measure of angle DBC. Then determine the measure of n

Answers

An equation that can be used to determine the angle measure, in degrees, of angle DBC is 67 + n = 90.

The measure of n is equal to 23 degrees.

What is a complementary angle?

In Mathematics and Geometry, a complementary angle refers to two (2) angles or arc whose sum is equal to 90 degrees (90°).

By substituting the given parameters into the complementary angle formula, the sum of the angles is given by the following mathematical equation;

∠ABD + ∠DBC = 90

∠ABD + n = 90

67 + n = 90.

n = 90 - 67

n = 23°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Let n represent

-1+2-3+4-5+6...-99+100
Can someone pls help

Answers

-1 +

2 -

3 +

4 -

5 +

6 -

...

-99 +

100

= -1 + 2 - 3 + 4 - 5 + 6 - ... - 99 + 100

= 1

The series -1+2-3+4-5+6...-99+100 is an example of an arithmetic series.

To find the sum of an arithmetic series, we can use the formula:

S = (n/2)(a + l)

where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.

In this case, the first term is -1, the last term is 100, and there are 100 terms in the series.

Plugging these values into the formula, we get:

S = (100/2)(-1 + 100)
S = 50(-1 + 100)
S = 50(99)
S = 4950

Therefore, the sum of the series -1+2-3+4-5+6...-99+100 is 4950.

Plz help ASAP need help on this

Answers

Answer:

I might be wrong, but most likely diameter

Answer: The answer is the second one. Therefore, is RADIUS.

Please tell me what 26 x 2 1/2 is.

Answers

Step-by-step explanation:

26*2 1/2

26*3/2

13*3

39 is answer

make mae brain liest

a sum of money is divided in the ratio 5 : 7 . If the larger sum is Rs 196, find the smaller sum

Answers

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

Triangle ABC has the vertices A(2, 0), B(4, 2), and C(3, 4).
Name the ordered pair of C' after a reflection across the
x-axis.

Answers

Answer: C’(3,-4)

Step-by-step explanation: All you have to do is count how many blocks away is the point from the x axis and then count down the x axis where you stop counting and that is how you get your point.

pls help image is below

Answers

Answer: B

Step-by-step explanation: If you solve the problem on the left it will give you the same thing as the right numbers.

PLEASE HELP!!!!!!!!!

Answers

According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

How to create the scale drawing?

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Length: 50mWidth: 90m

Converting to centimeters:

Length: 50m * 100cm/m = 5000cmWidth: 90m * 100cm/m = 9000cm

Applying the scale of 1:2000:

Length on the drawing: 5000cm / 2000 = 2.5cmWidth on the drawing: 9000cm / 2000 = 4.5cm

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

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give two ways to write the expression as a phase for n+6

Answers

Answer:

1. N plus 6

2. A number n is added to 6

An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.
z = p - p/underroot pq/n
Using the formula and data provided, what is the value of the z-test statistic?

Answers

Answer:

0.68

Step-by-step explanation:

The formula for z test is given above as:

z = p' - p/√(pq/n)

p' = sample proportion

= Number of infested samples(trees)/ Number of samples

p' = 127/1000 = 0.127

p = 12% = 0.12

q= 1 - 0.12 = 0.88

n = number of samples = 1000

z = 0.127 - 0.12/√(0.88 × 0.12/1000)

z = 0.007/√0.0001056

z = 0.007 /0.0102761861

z = 0.6811865737

Therefore, the z test statistic is approximately ≈ 0.68

Colton likes to see how quickly he can finish the crossword puzzle in his local newspaper. After glancing at today's puzzle, Colton predicted he could complete it in 14 minutes. It actually took him 16 minutes to finish the puzzle. What is the percent error for Colton's prediction?

Answers

The percent error for Colton's prediction is 0.02%.

What is percent error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute mistake or a relative error might be used to describe this error. It is possible for measurement mistake or computation machine precision to generate an approximation error.

The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error is multiplied by 100 to calculate the percent error.

16-14/100= 0.02%

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Answer: 12.5

Step-by-step explanation: IXL said so

Find the domain and range

Answers

Answer:

domain is 4.

range is 4...

Rodrigo is a lawyer who used to charge his clients $450 per hour. Rodrigo recently reconsidered his rates and ultimately decided to charge $540 per hour. What was the percent of increase in the billing rate?

Answers

Answer:

20% increase

Step-by-step explanation:

((540 - 450) / 450) * 100

(90 / 450) * 100

0.2 * 100

= 20% change (increase)

Hope this helps!!

Smallest successive composites with gap
17, 73, 2, 19

Answers

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Write x^2 - 8x + 10 in the form
(x + a)^2 + B

Answers

$x^2-8x+10=x^2-8x+16-6=(x-4)^2-6$

help me please!! thank you!!

Answers

Answer:

7853.98cm²

Step-by-step explanation:

So we know that to find the area of a circle the formula is A=π r²

A = π (50)²

A = π (2500)

A = 7853.98cm²

Members of the Garner high school yearbook committee I need to put 1344 students photos on 24 pages in the yearbook they want to put the same number of students photos on each page how many student photos were they put on each page in the yearbook

Answers

Answer:

students photos: 1344

yearbook pages: 24

1344÷24=56

Patricks family spent 2 hours and 30 minutes driving home they arrived home at 10:00 pm what time did patricks family leave? HELP QUICK TAKING A TEST

Answers

How long did they spend at the place?

But if you need the time the house to the place and back, they started at 5:30 to 7:30 to 10:00

But the answer to your question is: they started at 7:30 pm and arrived home at 10:00 pm

Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.

A. four ninths raised to the fourteenth power
B. four ninths raised to the twenty fourth power
C. two thirds raised to the fourteenth power
D. two thirds raised to the twenty fourth power

Answers

Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

Please see the attached.

Answers

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

F(x)=5x^5+ 24x^4+25x^3-86x^2-224x+48

Answers

I believe you graph this.. please let me know if wrong and I’ll help solve otherwise! The picture is the answer on how to graph

What is the percentage equivalent to 16 over 40?

Answers

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Select all the numerical expressions below that are equivalent to
$ \frac{ - 6}{3} $

$Select all the numerical expressions below that are equivalent to [tex] \frac{ - 6}{3} [/tex]$

Answers

Answer:

A, B, E

Step-by-step explanation:

You can put the negative sign on either the numerator or denominator (but not both) and you can also give the simplified answer -2.

Does this table represent a proportional relationship?
x 2 4 8 14
y 6 10 12 18

yes
no

Answers

Answer:

yes

Step-by-step explanation:

the x and y relationship is 1:1 meaning that if one is added to x then one is added to y, etc.

Other Questions

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