The x-intercept of f(x) is 5. If g(x)=f(x+2), then what is the x-intercept of g(x)?
Answers
Answer:
To find the
x- intercept, we set y=0 and solve for x:0=.5x−3
3=.5x
6=x
So. the x-intercept is
(6,0)
To find the
y-intercept, it's a similar system We set x=0 and solve for y this time.
y=.5⋅0−3
y=−3
That was easy :)
So, our y-intercept is (0,−3)
Just to double check our work, let's graph the equation and see the
x and y- intercepts
graph{y=.5x-3}
Yep,
(6,0) and (0,−3). We were right!
Related Questions
solve 2/x-1=16/x^2+3x-4
Answers
The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)
To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:
1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)
2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:
\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)
3. Simplify the equation:
\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)
4. Combine like terms:
-x^3 - x^2 + 14x - 8 = 16x
5. Move all terms to one side of the equation:
\(-x^3 - x^2 - 2x - 8 = 0\)
6. Rearrange the equation in descending order:
-x^3 - x^2 - 2x + 8 = 0
7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.
8. Divide the equation by (x - 2):
\(-(x - 2)(x^2 + x - 4) = 0\)
9. Apply the zero product property:
x - 2 = 0 or x^2 + x - 4 = 0
10. Solve each equation separately:
x = 2
11. Solve the quadratic equation:
For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:
\(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)
Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)
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What additional information is needed to prove the triangles congruent by ASA?
Answers
The additional information is needed to prove the triangles congruent by ASA is < A ≅ < D
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Triangle congruent rules include
Angle - Side - Angle = ASA
Side - Angle - Side = SAS
Side - Side - Side = SSS
Angle - Angle - Side = AAS
Hypotenuse and one leg = HL
The question is asking for the prove by Angle - Side- Angle = ASA to ensure that the triangles are congruent
In Angle - Side - Angle = ASA the two triangles being compared should have their two angles side by side to the Side used for the prove Or we say the two angles have the side included
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It is recommended that there be at least 15.9 square feet of ground space in a garden for every newly planted shrub. a garden is 37.1 feet by 15 feet. find the maximum number of shrubs the garden can accommodate. a. 185 shrubs c. 35 shrubs b. 12 shrubs d. 2 shrubs
Answers
Answer:
c. 35 shrubs
Step-by-step explanation:
\( \frac{37.1 \times 15}{15.9} = 35 \)
how do i factorize x²-6x-16?
Answers
Step-by-step explanation:
need a thanks and thats it...
PLEASE PELASE PLEASE HELP ME
Answers
Answer:
In ∆ABC AND ∆DEF
ABC=DEF...........each 90°
SIDE AB =SIDE ED...........given
SIDE BC =SIDE EF............B-F-C and E-C-F
∆ABC =∆DEF....................by SAS test
the qualified applicant pool for four management trainee positions consists of nine women and seven men. (a) how many different groups of applicants can be selected for the positions? (b) how many different groups of trainees would consist entirely of women? (c) probability extension: if the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of four are equally likely, what is the probability that the trainee class will consist entirely of women? (round your answer to four decimal places.)
Answers
There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.
The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:
nCr = n! / (r! * (n-r)!)
where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).
So the number of different groups of applicants that can be selected is:
16C4 = 1820
Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.
The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:
9C4 = 126
Therefore, there are 126 different groups of trainees that would consist entirely of women.
Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):
Probability = 126 / 1820 = 0.0692
So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).
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factor the following question completely
6x - 4x2
Answers
Answer:
Factor 2x out of 6x-4x^2
2x(3-2x)
Hope this helps :)
Eight burgers and three orders of fries cost $79.49. Six orders of fries and twelve burgers cost $125.82.Find the price of one burger and one order of fries .
Answers
Answer:
Burgers - $8.29 and fries - $4.39Step-by-step explanation:
Let burgers - b, fries - f
8b + 3f = 79.4912b + 6f = 125.82Double the first equation and subtract the second equation:
16b + 6f - 12b - 6f = 2(79.49) - 125.824b = 33.16b = 33.16/4b = 8.29Find f:
8(8.29) + 3f = 79.493f = 79.49 - 66.323f = 13.17f = 13.17/3f = 4.39Can you help me on algebra?
Answers
Answer:
the answer is :c^5 b^3
Based on the equation 6x + 2y = 30, what is the missing value in the table?
x
y
?
0
3
5
15
30
Answers
Answer:
5
Step-by-step explanation:
Answer:
the answer is b on edge
Step-by-step explanation:
ok
If you place a 39-foot ladder against the top of a building and the bottom of the
ladder is 33 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Answers
The ladder and the top of the building form a right triangle
The building is 20.8 feet tall
`How to determine the height of the building?The given parameters are:
Length of ladder, L = 39 feetHorizontal distance (b) = 33 feetThe height (h) of the building is calculated using the following Pythagoras theorem
L^2 = b^2 + h^2
So, we have:
39^2 = 33^2 + h^2
Evaluate the exponent
1521 = 1089 + h^2
Rewrite as:
h^2 = 1521 - 1089
h^2 = 432
Take the square root of both sides
h = 20.8
Hence, the building is 20.8 feet tall
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Write the expression in radical form. (1pt)
x 2/7
Write the expression in exponential form.
∛2y
Please show steps I'm so lost
Answers
\(\\ \rm\dashrightarrow x^{\frac{2}{7}}\)
\(\\ \rm\dashrightarrow x^{2(1/7)}\)
\(\\ \rm\dashrightarrow \sqrt[7]{x^2}\)
And
\(\\ \rm\dashrightarrow \sqrt[3]{2y}\)
\(\\ \rm\dashrightarrow 2y^{\frac{1}{3}}\)
Answer:
see below
Step-by-step explanation:
Problem-1:
\( {x}^{ \frac{2}{7} } \)
remember that,
\(\displaystyle {x}^{ \frac{a}{b} } = \sqrt[b]{ {x}^{a} } \)
here,
a=2b=7hence,
\( {x}^{ \frac{2}{7} } = \boxed{\sqrt[7]{ {x}^{2} } }\)
Problem-2:
recall that,
\( \sqrt[n]{x} = {x}^{ \frac{1}{n} } \)
therefore,
\( \sqrt[3]{2y} = (2y {)}^{ \frac{1}{3} } \implies \boxed{{2 }^{ \frac{1}{3} } {y}^{ \frac{1}{3} } }\)
PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!
Answers
Answer:
b
Step-by-step explanation:
Which is not a statistical question? * 1 point how much did the corn plants grow last week? what is the height of the tallest corn plant? how much water did the corn plants get each day last month? how tall are the corn plants?
Answers
The option that is not a statistical question is D. how tall are the corn plants?
What is a statistical question?A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.
Therefore, based on the information illustrated, the correct option is D. It was too general and not specific
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I will Mark Brainlist :D ! Help its a Math Question (Geometry ) * Thank you!
Answers
Answer:
Reflection
Step-by-step explanation:
With a reflection, a shape is mirrored across a line. So, while its position is changed, the points end up getting flipped too. In this problem, you can imagine a diagonal line goes right through the center of the two shapes shown (the original and its mirror). The line would be equidistant from L and G; it would be equidistant from B and D; it would also be equidistant from U and O. If you were to mirror B, U, and L across this line, you would get your reflection points D, O, and G.
The shape BUL is mirrored over a diagonal line to get DOG, which means it is a reflection
Solve the following equation: 3.3+4x=-6.9x+6.6
Round your answer to the nearest tenth.
Answers
The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.
To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.
First, let's simplify the equation by combining like terms:
3.3 + 4x = -6.9x + 6.6
Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:
4x + 6.9x = 6.6 - 3.3
Combine the x terms on the left side:
10.9x = 3.3
Now, divide both sides of the equation by 10.9 to solve for x:
x = 3.3 / 10.9
Using a calculator, we can find the decimal approximation of x:
x ≈ 0.3028
Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.
In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.
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Eric owns and operates the hot ham food truck. the expression 3.25 b 2 h 3.25b 2h3, point, 25, b, plus, 2, h gives the cost of b bb burgers and h hh hot dogs. what is the cost of 4 44 burgers and 6 66 hot dogs?
Answers
Using the algebraic expression that models the cost of burgers and hotdogs, the cost of 4 burgers and 6 hot dogs is $25.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An algebraic equation is the equality of expressions.
If the expression 3.25b + 2h gives the cost of b burgers and h hotdogs, and we want to determine the cost of 4 burgers and 6 hot dogs, then plug in the values and solve the equation.
cost = 3.25b + 2h
cost = 3.25(4) + 2(6)
cost = 13 + 12
cost = 25
Hence, the cost of 4 burgers and 6 hot dogs is $25.
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The square root of the product of two positive numbers is called their geometric mean. What is the geometric mean of 16 and 64?
Answers
Answer:
Geometric mean of a and b: Square root of axb.
16x64 = 1024
Square root of 1024: 32.
So, the geometric mean is 32.
Hope this helps!
how many solutions are there to square root x =9
Answers
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
For each question below, determine True or False: If a simple random sample is chosen with replacement, each individual has
the same chance of selection on every draw.
Answers
The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.
If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.
The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.
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Systems requests do not deal with factors involved in improving service.
a. true
b. false
Answers
Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)
(−9, −6)
(−8, −2)
(0, −12)
(4, −20)
Answers
Answer:
(-10,8)(0,12)(4,-20)
Step-by-step explanation:
You just have to insert the points into the equation and then solve.
Ex: 2(4)-20=-12- True
Lenore lives in a state where sales tax is 10%. This means you can find the total cost of an item, including tax, by using the expression c + 0.10c, where c is the pre-tax price of the item.
Use the expression to find the total cost of an item that has a pre-tax price of $84.00.
Answers
Function is
f(c)=c+0.10cPut 84.00$
\(\\ \tt\hookrightarrow 84.00+0.1(84.00)\)
\(\\ \tt\hookrightarrow 84.00+8.4\)
\(\\ \tt\hookrightarrow 92.4\)
there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row
Answers
Answer:
9 people per row
Step-by-step explanation:
63/7=9
let me now if right
So because all students are 63 you have to divide the 63 into rows and then you’ll find out how many students are in a row
HELPPPP PLEASE!!
Find the discounted price of a $90 calculator that is on sale for 25% off.
Answers listed:
$22.50
$67.50
$89.75
$65.00
Answers
Answer:
67.5
Step-by-step explanation:
ok easy it cost $90
90/100=0.9
0.9*25=22.5
90-22.5
67.5
name all pairs of congruent triangles in the parallelogram shown below.
Answers
Given
The parallelogram,
To name all pairs of congruent triangles in the given parallelogram.
Explanation:
It is given that,
That implies,
Whats the answer y’all
Answers
The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).
What is the Difference of Two Expressions?The difference of two expressions is determined by subtracting one from the other.
Find the difference of each of the expressions given to determine which will give us 5.
-3 - (-8)
= -3 + 8
= 5
-2 - 3 = -5 [this is not the same as 5]
1 - (-4)
= 1 + 4
= 5
7 - (-2)
= 7 + 2
= 9
-3 - (-8) and 1 - (-4) will give us a difference of 5.
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one bar of candy a and two bars of candy b have 779 calories. two bars of candy a and one bar of candy b contain 793 calories. find the caloric content of each candy bar.
Answers
The caloric content in candy A is 269 and that of candy B is 255.
The caloric content is the quantity of energy required to increase the temperature of one liter of water by one degree. A calorimeter was initially used to determine a food's calorie count.
Let us consider:
Caloric content of Candy A = x
Caloric content of Candy B = y
We can thereby make two equations:
Eqn 1: 1x + 2y = 779
Eqn 2: 2x + 1y = 793
By elimination method, we have
2x + 4y = 1558
Solving for x by subtracting with Eqn 2, we have,
3y = 765
y = 765 ÷ 3
y = 255.
Now substituting the value of y in Eqn 2, we have:
2x + 1y = 793
2x + 1 × 255 = 793
2x + 255 = 793
2x = 793 - 255
2x = 538
x = 538 ÷ 2
x = 269.
Hence caloric content in candy A is 269 and that of candy B is 255.
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tell me FUNEY and ill give RBALINES
Answers
May I have the crown please?
Answer:
Who’s there?
Tank.
Tank who?
You’re welcome.
Who’s there?
Luke.
Luke who?
Luke through the peep hole and find out.
Who’s there?
Figs.
Figs who?
Figs the doorbell, it’s not working!
Who’s there?
Hal.
Hal who?
Hal will you know if you don’t open the door?
Who’s there?
Says.
Says who?
Says me!
Who’s there?
Euripides.
Euripides who?
Euripides clothes, you pay for them!
Step-by-step explanation:
If the input is -8, what is the output?
the equation is : f(x) = -6x – 3
Answers
Answer:
f(-8) = 45
Step-by-step explanation:
Step 1: Define
f(x) = -6x - 3
x = -8
Step 2: Substitute and Evaluate
f(-8) = -6(-8) - 3
f(-8) = 48 - 3
f(-8) = 45