Answer:
y = 3/4x + 6
Step-by-step explanation:
(-4,3) and (-8,0)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(0 - 3) / (-8 - (-4))
Simplify the parentheses.
= (0 - 3) / (-8 + 4)
= (-3) / (-4)
Simplify the fraction.
= -3/-4
= 3/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 3/4(-8) + b
To find b, multiply the slope and the input of x(#)
0 = -6 + b
Now, add 6 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = 3/4x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 3).
y = 3/4x + 6
3 = 3/4(-4) + 6
3 = -3 + 6
3 = 3
Your equation is correct.
Hope this helps!
The expression 52,260 + 2Sh represents the annual salary for a graphic artist. This includes the base salary and $25 per hour for work on special projects, where h = number of hours. If the artist spends 160 hours on special projects throughout the year, how much in total will the artist earn? $55,260 548, 260 $8,365,000 $56, 260
Answer:
56,260
Step-by-step explanation:
plug in h = 160 into the equation:
52,260 + 25h --> 52,260 + 25 * 160 = 52,260 + 4000 = 56,260.
The artist will earn in total $56, 260.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
The given expression that represents the annual salary for a graphic artist is,
52,260 + 25h
where, h = number of hours
Now If the artist spends 160 hours on special projects throughout the year, put h = 160 in the given expression,
52,260 + 25h = 52,260 + 25*160
or, 52,260 + 25h = 52,260 + 4000
or, 52,260 + 25h = 56,260
which is the required amount an artist will earn in an year.
Thus, the artist will earn in total $56, 260.
The correct expression in the question is,
52,260 + 25h
To learn more about expression:
https://brainly.com/question/15759125
#SPJ2
The prism below is made of cubes which measure of a centimeter on one side. What is the volume?
Please answer this question and I will give you brainliest and 15 points
Answer:
45/8 cubic cm
Step-by-step explanation:
The volume of a prism can be determined using the formula below.
Volume = length × width × height
Since each cube measures of a centimeter on one side, then the dimensions of the prism are shown below.
Length = 5 x 1/2 cm
Width = 3 x 1/2 cm
Height = 3 x 1/2 cm
Answer:
5/3
Step-by-step explanation:
Using the same triangle as above, provide a value for the measure of angle A. Use this value, along with the values you have provided in question 3, to calculate the length of side c and the measure of angle B. The value of A should be between 20 and 70 and cannot be the same as angle C.
Answer:
Step-by-step explanation:
Since the triangle is a right triangle, we know angle B is 90
Then, we know A and C have to make 90 to
so if A has to be between 20 and 70, we can pick 21
as long as A and C make 90, if A is 21, then C is 69
since 21 + 69 = 90
Since it's a right triangle, we can use pythagoran theorem to find c
a² + b² = c²
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
then you put in the numbers from question 3 (you didn't say what numbers those have to be) and you can find out whats c
x2y when x = - 3/4 and y = 8/15
Answer:
-4/5
Step-by-step explanation:
x2y
(-3/4)(2)(8/15)
(-3/2)(8/15)
-4/5
I need help fast! The measures of the angles of a triangle are shown in the figure below. Solve for x.
Triangle Inequalities help please
Answer:
No, you can't
Step-by-step explanation:
Given
[tex]Side\ 1 =4[/tex]
[tex]Side\ 2 =9[/tex]
Required
Is a perimeter of 26 possible?
First, calculate the possible side 3
[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]
[tex]Side\ 3 = 26 - 4 - 9[/tex]
[tex]Side\ 3 = 13[/tex]
Triangle inequalities states that:
Sum of two sides > the third side
So:
[tex]4 + 9 > 13[/tex] --- False
[tex]13 + 9 > 4[/tex] --- True
[tex]4 + 13>9[/tex] ---- True
Since one of the inequalities is false, then a perimeter of 16 is not possible
Can you help me image is here which 2 Should I drag
Answer:
3 = 9
4 = 10
Step-by-step explanation:
Answer:
3,9
4,10
Step-by-step explanation:
Hey There
The equation is saying that f goes up by 1 when y s goes up by 1
so when s = 3 f = 9
when s = 4 f = 10
PLEASE HURRY! I WILL MARK BRAINLIEST!
The total profit function, P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.
Answer:
4 < x < 15.
Step-by-step explanation:
Solve -2x^2 + 38x -120 = 0 This gives x = 4 and x = 15. So the company makes a profit when the range of x is greater than 4 and less than 15. The graph of function is a flipped U which pass through x axis at 4 and x = 15. Above the x-axis is the area of profit.
what is the slope of the line? (khan academy) please help
Answer: m=-3/2
Step-by-step explanation: Rise/Run
Rise is 3
Run is -2
So it would be -3/2
Answer:
-3/2
Step-by-step explanation:
from khan
Rationalize the denominator 18/3root2+1
Answer:
[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]
We need to rationalize the denominator.
Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :
[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]
So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].
What is the area of a rectangle with the measurement of the length of 12 and width of 6
Answer:
72 units^2
Step-by-step explanation:
Help now ____________[_
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
Enter an
algebraic expression that represents the sum of fifty-seven and x cubed.
The answer is x³+57 or (x³+57)
The length of a classroom is 43 feet. What is this measurement in yards and feet?
Answer: 43 ft = 14.333333 yd/and/or/43 ft = 14 yd 1 ft
Step-by-step explanation:
To convert a foot measurement to a yard measurement, divide the length by the conversion ratio.Since one yard is equal to 3 feet, you can use this simple formula to convert:
yards = feet ÷ 3
The length in yards is equal to the feet divided by 3.
Answer:14.3333 yards equals 43 feet 1 foot is equivalent to .333 yards
Step-by-step explanation:
I will give brainliest to the first one that does it correctly
Answer:
180-138
=42, is the answer
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625
Answer:
approximately Normal with mean 0.35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.
This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]
Subtraction of Variable 1 by Variable 2:
By the Central Limit Theorem, the shape will be approximately normal.
The mean is the subtraction of the means of each proportion. So
[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]
So the correct answer is given by:
approximately Normal with mean 0.35
4a. In a book store, for every 9 books sold, 13 magazines were sold. If they had a 572 sales, how many of the sales were for books?
Answer:
234 books.
Step-by-step explanation:
You need to set up a proportion. Be careful to note what it looks like and the explanation that follows.
9 books 13 magazines
======= = ===========
x 572 - x Cross multiply
What you want is the number of book sales from the proportion.
However all you have is the ratio of books to magazines. So you have to set up the total sales to magazines, which is a bit awkward. 572 - x is the number of magazine sales.
9*(572 - x) = 13x Remove the brackets on the left.
5148- 9x = 13x Add 9x to both sides.
5148 = 13x + 9x Transpose and add the right.
22x = 5148 Divide by 22
x = 5148/22
x = 234
234 books were sold.
What is the correct answer?
Answer:
The point moves 3 units down and 3 units to the right
Step-by-step explanation:
Plz I need this question quick! I don't understand it.
Find the area of the figure.
Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?
Answer:
Carlos born in 1944
Julio born in 1945
Ricky born in 1946
Step-by-step explanation:
x = Carlos age
x+1 = Julio age
x+2 = Ricky age
x + x+1 + x+2 = 129
3x + 3 = 129
3x = 126
x = 42 (Carlos age)
x+1 = 43 (Julio age)
x+2 = 44 (Ricky age)
1990 - 42 = 1944 (year Carlos born)
1990 - 43 = 1945 (year Julio born)
1990 - 44 = 1946 (year Ricky born)
Solve the right triangle below. Round all your answers to the nearest tenth. Measure of angle Z = ______
Answer:
[tex]Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}[/tex]
Answer for x.
1. 3x - 10 = -21
2. -22 - 4x = 12
Answer:
3x - 10 = -21
add 10 on both side
3x-10+10=-21+10
3x=-11
divide both side by 3
3x/3=-11/3
x=-11/3
Step-by-step explanation:
2. -22 - 4x = 12
add 22 on both side
-22+22-4x=12+22
-4x=36
divide both side by -4
-4x/-4=36/-4
c=-9 is your answer
which table represents a function?
needdddd help pls ill mark brainlist
Step-by-step explanation:
correct answer 2) y> 3x+2
Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States revealed the following endowments (in millions of dollars): 60.2, 47.0, 235.1, 490.0, 122.6, 177.5, 95.4, and 220.0. What value will be used as the point estimate for the mean endowment of all private colleges in the United States?
Answer:
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
Step-by-step explanation:
When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.
What value will be used as the point estimate for the mean endowment of all private colleges in the United States?
We have to find the mean of the 8 colleges. So
[tex]M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975[/tex]
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
hi please help!!! i’ll give you a brainless answer (question in picture)
Answer:
Oh easy here is the answer m=21
There is an ice cream cake in the freezer. On Monday, the family eats 1/2 of
the cake. On Wednesday, they eat 1/4 of the cake. How much did the family
eat altogether?
Answer: 2/4
Step-by-step explanation: Easy 2 + 2 = 4
The train station clock runs too fast and gains 11 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 8 days?
Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
