The value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.
What is linear equation?A linear equation is the equation in which the highest power of the unknown variable is one.
Here, the given linear equation is,
[tex]5x +8 - 3x = -10[/tex]
Solve it by arranging the equation as,
[tex]5x - 3x +8= -10\\2x+8=-10[/tex]
Subtract number 8 both side of the equation as,
[tex]2x+8-8=-10-8\\2x=-18[/tex]
Divide both side of the equation with number 2 as,
[tex]x=\dfrac{-18}{2}\\x=-9[/tex]
Hence, the value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.
Learn more about the linear equation here;
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Answer: is A
Step-by-step explanation: bc some people dont know how to jus put the letter on there to make life so much easier
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
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:
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
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 ME!!!! IM STUCK
Answer:
B .565
Step-by-step explanation:
10 + 13 =
23
13/23 = .565
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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what is the volume of the rectangular prism?
Answer:
4 inches x 8 inches x 3 inches = 96 inches³
what 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)
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:
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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
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!
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
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)
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
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
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
Can someone help me please!!
Answer:
D
Step-by-step explanation:
[tex](40 - 10)x - 12000 \geqslant 980[/tex]
[tex]30x - 12000 \geqslant 980[/tex]
10 POINTS!!!
Please help no links or ill report!!
Answer:
Step-by-step explanation:
- -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.
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
Alissa 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:
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Answer:
a. the subtotal is calculated incorrectly
Step-by-step explanation:
I'm good at math ;)
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! :)
2/3(x-6)=6 solve for x
Answer:
18
Step-by-step explanation:
2/3 = 66%
66% of 18 =
12-6=
6
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=-1/2Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
The slope should be -2
You should go down 2 and go over 1.
Slope Intercept Form: y= -2x+3
Step-by-step explanation:
First, you need to identify the slope: (meaning whether it is a postive or negative.)
In this case, You have a negative slope.
This means instead of rising you're decreasing down.
When you "run" or move horizontally you MUST move right even if it's a negative slope.
Now, you need to identify your Y-Intercept.
Your Y-Intercept should be (0,3)
Next, you have to find your slope:
In order to find your slope, you need to find where the line is crossing the coordinate.
Start at (-1,5) and go down and over to (0,3)
Your answer should be that you went down 2 and over 1.
The slope can't be 2 because if it were to be 2, then that would be a positive slope which isn't our occasion.
The slope is -2.
In Slope Intercept Form: y= -2x+3
Surface area- Rectangle
Please help ASAP
Answer:
The surface area of the rectangle is 2670
if the vertex of a quadratic functions is on the x-axis, what must be true about the number of x-intercepts? How do you know?
Answer:
x-intercepts are points at which the curve intercepts the x-axis, so when y = 0.
If the vertex of a quadratic function is on the x-axis, there will be only one x-intercept since the parabola will intersect the x-axis at one point only.
If the vertex of the function touches the x-axis, the zero at this point will have a multiplicity of two. For example, if the vertex is at (4, 0), and therefore the zero is at x = 4, then the function will be [tex]y=a(x - 4)^2[/tex] (where a is some constant).
Vertex form of parabola
y=a(x-h)²+kWhere
vertex=(h,k)So
if vertex is on x axis k is 0 and the parabola has only 1 x intercept
The form will be
y=a(x-h)²triangle 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/xHELP ASAP
6 divided by 200+ 40=
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.