The equation of the line that goes through the point (1, -1) and has a slope of 5 is y = 5x - 6
How to find linear equation of a line?The linear equation of a line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line passes through (1, -1) and has a slope of 5.
Using the model y = mx + b,
y = 5x + b
let's find b using (1, -1)
- 1 = 5(1) + b
-1 - 5 = b
b = -6
Therefore, the equation of the line that goes through the point (1, -1) and has a slope of 5 is y = 5x - 6
learn more on equation of a line here: https://brainly.com/question/11897796
Answer:
y=5x-1
Step-by-step explanation:
Slope is represented as m. y-intercept is represented as b. And ordered pairs are written in the form x,y. So you ignore the first 1 in your ordered pairs and just look at the second one because the second one represents the y-intercept.
I hope this helps!!!
sarah uses 2/3 of her supply of cheese to make pizza and 1/9 of her supply of cheese to make lasagna. If Sarah uses 2 1/3 pounds of cheese, how many pounds of cheese were in her supply?
Answer: 0.05 cup
Step-by-step explanation:
Divide 2.5 by 10 to find how much is in one of Sarah’s dishes.
This gives you 0.25
Divide 1.6 by 8 to find how much is in one of Amy's dishes.
This gives you 0.2
Now minus 0.2 from 0.25.
This gives you a 0.05 cup
hope this helps
The two figures have a ratio of similarity of 3:4. If the area of the larger is 100 square units, what is the area of the smaller?
Answer:
75 square units
Step-by-step explanation:
set up a proportion first.
[tex] \frac{3}{4} = \frac{x}{100} [/tex]
(x is on top because it asks for the smaller area, so it is on the same side of the 3)
after, cross multiply to find x
4x = 300
divide by 4
x= 75
1. Which equation represents the line that passes through the points (4, 8) and (2, -6)?
Answer:
D : y = 7x - 20
Step-by-step explanation:
let D be the line that passes through the points (4, 8) and (2, -6)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{8-(-6)}{4-2}=\frac{14}{2}=7[/tex]
Since the point (4, 8) lies on the line D then :
8 = 7 × (4) + b
then
8 = 28 + b
then
b = 8 - 28
= -20
Conclusion:
Since a = 7 and b = -20 then
D : y = 7x - 20
At a local department store, slacks typically cost $45. However, due to a special, the slacks are reduced to $18. What. percent of the original price has the slacks been reduced to? Round your answer to the nearest whole number if necessary.
Answer:
40 Percent decrease
Step-by-step explanation:
We can use a simple formula to solve this problem.
Starting price * X/100 = Ending Price
We plug in our values to solve for X
45 * x/100 = 18
You simplify the equation and you should get X as 40, meaning there is a 40 Percent decrease in price.
you have $11.35 to buy treats for yourself and a friend. You buy 3 packs of marshmallow chicks for $1.45 each. Then u buy 2 cupcakes for $2.29 each. Which two items below could you afford to buy with your change? bunny $1.88, egg $1.05 ,jelly beans $1.37
Answer:
Egg and Jelly Bans
Step-by-step explanation:
*Using a calculator or otherwise*
1.45 x 3 = $4.35 1.05(eggs)+1.37(beans)= $2.42
+
2.29 x 2 =$4.58
= $8.93
11.35-8.93= $2.42
John put away 36 of 48 shirts in his closet. Don has 84 shirts. If he put away the same percent, how many shirts did Don put in his closet?
Answer:
63
Step-by-step explanation:
John's percentage:
36 and 48 have a common factor of 12 so divide both of them by 12.
36/12= 3 and 48/12=4 therefore
so 36/48= 3/4 which is 75% but we don't need to focus on the percent.
Don's no. of shirts:
we know Don has 84 shirts so we say
3/4 of 84= no. of shirts that Don put in his closet
84/4=21 21x3=63
Don put 63 shirts in his closet.
Hope that helped! Anymore questions just ask! :)
factor the following using the difference of squares method
a) x^2 - 16 b) 9y^2 - 25
Answer:
a)
[tex] {x}^{2} - 16 \\ = {x}^{2} - {4}^{2} \\ = (x + 4)(x - 4)[/tex]
b)
[tex] {9y}^{2} - 25 \\ = {(3y)}^{2} - {5}^{2} \\ = (3y + 5)(3y - 5) [/tex]
here is the answer hope that will help you
Which table shows a function that is decreasing over the interval (−2, 0)? A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 0, negative 5, 0, 5. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30 A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24. table shows a function that is decreasing over the interval (−2, 0)? A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 0, negative 5, 0, 5. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30 A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.
Answer: A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.
Step-by-step explanation:
The table shown in the attachment has the function that is decreasing in the interval of interest."Decreasing" means that for increasing x-values, each f(x) value is less than the one before.
PLEASE HELP I'M SO CLOSE TO BEING DONE
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 3 sides of the triangle.
P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms
= 5x² + 36x + 7
to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 7 = 35 and sum = 36
the factors are + 35 and + 1
use these factors to split the x- term
5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )
= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term
= (x + 7)(5x + 1) , then
P = (x + 7)(5x + 1) ← in factored form
Which equation has a graph that lies entirely above the x-axis?
y = –(x + 7)2 + 7
y = (x – 7)2 – 7
y = (x – 7)2 + 7
y = (x – 7)2
Answer:
[tex]y = (x - 7)^{2} + 7[/tex].
Step-by-step explanation:
Let [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] be constants, and let [tex]a \ne 0[/tex]. The equation [tex]y = a\, (x - h)^{2} + k[/tex] represents a parabola in a plane with vertex at [tex](h,\, k)[/tex].
For example, for [tex]y = -(x + 7)^{2} + 7 = -(x - (-7))^{2} + 7[/tex], [tex]a = (-1)[/tex], [tex]h = (-7)[/tex], and [tex]k = 7[/tex].
A parabola is entirely above the [tex]x[/tex]-axis only if this parabola opens upwards, with the vertex [tex](h,\, k)[/tex] above the [tex]x\![/tex]-axis.
The parabola opens upwards if and only if the leading coefficient is positive: [tex]a > 0[/tex].
For the vertex [tex](h,\, k)[/tex] to be above the [tex]x[/tex]-axis, the [tex]y[/tex]-coordinate of that point, [tex]k[/tex], must be strictly positive. Thus, [tex]k > 0[/tex].
Among the choices:
[tex]y = -(x + 7)^{2} + 7[/tex] does not meet the requirements. Since [tex]a = (-1)[/tex], this parabola would open downwards, not upwards as required.[tex]y = (x - 7)^{2} - 7[/tex] does not meet the requirements. Since [tex]k = (-7)[/tex] and is negative, the vertex of this parabola would be below the [tex]x[/tex]-axis.[tex]y = (x - 7)^{2} + 7[/tex] meet both requirements: [tex]a = 1[/tex] and [tex]k = 7[/tex].[tex]y = (x - 7)^{2}[/tex] (for which [tex]k = 0[/tex]) would touch the [tex]x[/tex]-axis at its vertex.Answer:
its c
Step-by-step explanation:
Which expression is equivalent to
[tex]2 \sqrt[3]{ {x}^{2} } - \sqrt{16x} [/tex]
if x > 0?
[tex]2\sqrt[3]{x^2}\cdot \sqrt{16x}\\\\=2\sqrt[3]{x^2} \cdot 4\sqrt x\\\\=8x^{\tfrac 23} \cdot x^{\tfrac 12}\\\\=8\cdot x^{\tfrac 23 + \tfrac 12}\\\\=8\cdot x^{\tfrac 76}\\\\=8\sqrt[6]{x^7}\\\\=8\sqrt[6]{x^6 \cdot x}\\\\=8x\sqrt[6]{x}[/tex]
[tex]\text{Hence the answer is A}[/tex]
Answer:
[tex] \sf \: Option \: A \: \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]
Step-by-step explanation:
[tex] \sf \: if \: x > 0 \\ \sf \: 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 2 \sqrt[3]{ {x}^{2} } \cdot \: 4 \sqrt{x} \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{2}{3} } \cdot \: {x}^{ \frac{1}{2} } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} =8 {x}^{ \frac{2}{3} + \frac{1}{2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{4 + 3}{3 \times 2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{7}{6} } \\ \sf 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{7} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{6} + x } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]
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PLS HELP! Select all the correct locations on the image. Select functions f and g such that the ratio of function f to function g is equal to function h.
The functions f(x), g(x) and h(x) are related as a result of composite functions
The values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
How to determine the functions f(x) and g(x)?From the question, we have the following equation
h(x) = f(x)/g(x)
This gives
f(x) = g(x) * h(x)
The function h(x) is given as:
h(x) = x - 4
So, we have:
f(x) = g(x) * (x - 4)
The function g(x) cannot be x³ - 3x² - 6x + 8 because the leading coefficients of function f(x) are 3 and 2
Next, we assume that:
g(x) = x² - x - 2
So, we have:
f(x) = (x² - x - 2) * (x - 4)
Expand
f(x) = (x³ - x² - 2x - 4x² + 4x + 8)
Evaluate like terms
f(x) = x³ - 5x² + 2x + 8
The above function exists in the given table.
Hence, the values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
Read more about composite functions at:
https://brainly.com/question/10687170
Which correctly applies the distributive property to show an equivalent expression to (8.6)(–2.5)?
(8)(2) – (0.6)(0.5)
(8)(–2) – (0.6)(–0.5)
(8.6)(2) – (8.6)(0.5)
(8.6)(–2) + (8.6)(–0.5
Answer:
(8.6)(-2)+(8.6)(-0.5)
Step-by-step explanation
Since -2+-0.5= -2.5, we need to use a plus sign. Also, since we multiply both by 8.6, that is the answer.
A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and
the final examination counts as two tests. Sara has test scores of 65, 62, and 60. Sara's quiz scores are 61, 96, 80, and
89. Her final examination score is 65. Use the weighted mean formula to find Mara's average for the course. (Round
your answer to one decimal place. )
Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, the weights are as follows:
A quiz has a weight of 1.A test has a weight of 2.The final examination has a weight of 4.Hence, her weighed mean is given as follows:
[tex]M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6[/tex]
Mara's average for the course was of 68.6.
More can be learned about the weighed mean formula at https://brainly.com/question/24398353
The polynomial −2x3 − x2 13x in the last line is the result of dividing x2 3x 1 by 3x2 and bringing down 13x. subtracting 3x4 9x3 3x2 from the dividend and bringing down 13x . multiplying 3x2 by x2 3x 1.
Subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
The dividend polynomial:
[tex]\rm = 3x^4+7x^3+2x^2+13x+5[/tex]
If we subtract the polynomial [tex]\rm 3x^4+9x^3+3x^2[/tex] from the dividend polynomial, we will get:
[tex]\rm = (3x^4+7x^3+2x^2+13x+5)-(3x^4+9x^3+3x^2)[/tex]
[tex]\rm = -2x^3-x^2+13x+5[/tex]
After bringing down 13x, we will get the polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
If complete the division of the polynomial, we will get:
[tex]\rm = \frac{(3x^4+7x^3+2x^2+13x+5)}{x^2+3x+1}[/tex]
= [tex]=\rm 3x^2-2x+5[/tex]
Thus, the subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
Learn more about Polynomial here:
brainly.com/question/17822016
Find the slope of the line passing through (2, 10) and (8, 7)
Slope= -1/2
Solution:The slope formula will help us find the slope.This is the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{7-10}{8-2} =\frac{-3}{6} =-\frac{1}{2}[/tex]Hope it helps.
Do comment if you have any query.
Slope:-
m=7-10/8-2m=-3/6m=-1/2Alissa would like to make a deposit into her savings account. she filled out a deposit ticket and handed it to the teller at her bank. the teller apologizes to alissa and explains that she cannot accept the deposit ticket in its current form. determine what, if anything, alissa will have to change in order for her deposit ticket to be accepted. a deposit ticket. the amount deposited is 899 dollars and 86 cents and she is taking 260 dollars out as cash. the total on the slip is 629 dollars and 86 cents. a. the sub total is calculated incorrectly b. alissa forgot to sign the deposit ticket for less cash back c. the total is calculated incorrectly d. alissa forgot to date the deposit ticket please select the best answer from the choices provided a b c d
Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.
What is a deposit ticket?A deposit ticket is a little paper where you are required to fill in the details of the deposit that you seek to make into your savings account. All information in the ticket ought to be filled accurately.
The teller may have declined to receive the ticket due to incorrect total amount filled on the ticket. Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.
Learn more about savings account:
brainly.com/question/1446753
Answer:
a. the subtotal is calculated incorrectly
Step-by-step explanation:
I'm good at math ;)
what comes first i genuinely forgot, like is (2,3) on a graph (x,y) or is it (y,x)
Answer:
(x,y)
Step-by-step explanation:
x comes first always
(x,y)
so 2 would be the x value and 3 would be the y value
What is the inverse of the function below?
f(x) = x/3 -2
O A. f(x) = 3(x + 2)
O B. f(x) = 3(x - 2)
O c. f'(X) = 2(x - 3)
O D. f '(x) = 2(x + 3)
Answer:
A
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x}{3}[/tex] - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{x}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
3(y + 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then inverse function is
[tex]f^{-1}[/tex] (x) = 3(x + 2)
Surface area- Rectangle
Please help ASAP
Answer:
The surface area of the rectangle is 2670
PLEASE HELP ME!!!! IM STUCK
Answer:
B .565
Step-by-step explanation:
10 + 13 =
23
13/23 = .565
Francesca wants to buy a package of balloons. She has $35.42 and each package costs $8.36. About how many packages of balloons can Francesca buy? (Round to the nearest dollar.)
Answer:
Francesca can buy 4 packages of balloons for $34.
Step-by-step explanation:
35.42 x 100 = 3542 ÷2 = 1771
8.36 x 100 = 836 ÷2 = 418
1771 ÷ 418 = 4.236842105263158 (We will round it to 4.23)
If we round it to 5, it will exceed Francesca's budget, so we will make 4.23 4.
4 x 8.36 = $33.44
We cannot cut the 44 cents so we will round it to $34.
Hope this helped!
10 POINTS!!!
Please help no links or ill report!!
Answer:
Step-by-step explanation:
When a business seeks a certain profit, it uses a factor to adjust its price. The factor is called a ____.
A.credit discount
B.Inventory adjustment
C. markup
D.quantity discount
Answer:
a
Step-by-step explanation: bc i just did it
Hello! Pls help me! I dont get this!
Jaleel did the sides by eachother.
Since it's 3d, it also wants them/us to count the sides that are not shown. He did one side by the length and then another by the height, then doubled it. Finally he added it all together
When Joseph first starts working at a grocery store, his hourly rate is $10dollar sign, 10. For each year he works at the grocery store, his hourly rate increases by $0.50dollar sign, 0, point, 50.
Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store.
Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
Let t be the number of years.
We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.
For each year he works at the grocery store, his hourly rate increases by $0.50.
So the hourly rates after t years will be 10 plus 0.50t.We can represent this information in an equation as: R(t)=10+0.50t
Therefore, the function R(t)=10+0.50t represents Joseph's hourly rates after t years.
(Hope this helps pls can I have brainlist have a great day )
2/3(x-6)=6 solve for x
Answer:
18
Step-by-step explanation:
2/3 = 66%
66% of 18 =
12-6=
6
triangle that is reflected, rotated, then translated will result with the pre-image and the image being two congruent triangles? true or false
Yes the pre image and image are congruent inspite of reflection, rotation or translation
This happens because they are rotated or translated according to a constant factor called scale factor
k=y/xwhat is f(x)=x²-16 in factored form
Answer:
f(x) = (x + 4)(x - 4)
Step-by-step explanation:
f(x) = x² - 16
This is the difference of two squares.
f(x) = (x + 4)(x - 4)
- -7=12 what is this one i need help
Answer:
False
Step-by-step explanation:
I am assuming this is the answer you are looking for and if not I am sorry. The sides of this equation are not currently equal. (-7=12) So the statement of the equation is false.