graph the linear function identify the x-intercept.
y=-x
Answers
The x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.
What is the x-intercept?A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = MX + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.So, plot the linear function:
Plot y = -x as follows:(Refer to the graph attached below)
We can clearly see that the x-intercept is 0.Therefore, the x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.
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Related Questions
Write the Coordinates of the verticals after a rotation 90 counter clockwise around the origin
R=
S=
Q=
T=
Answers
The preimage's coordinates are R(-3, 6), S(-1, -2), and Q(-7, 1).
How can you spot changes in something?This point can be another point on the graph, though it is often the origin (0,0) of the graph or a point on the picture. Determine whether any of the points on the original figure are oriented differently in the altered version and whether the figure appears to be turned.The pre image R S, and Q locations must be discovered.A point is transformed when it is moved from its original location to a new one. Reflection, rotation, translation, and dilation are examples of different transformations.The new point is at R' if a point R(x, y) is rotated 90 degrees clockwise about the origin (y, -x)Thus, we must follow the rule (-y,x) ——>(x,y).
Applying the law,
R'(6, 3) -----> R(3, -6)
S'(–2, 1) -----> S(1, 2)
Q'(1,7) -----> Q (7, -1)
The preimage's coordinates are R(-3, 6), S(-1, -2), and Q(-7, 1).
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g(x) = x2
g
(
x
)
=
x
2
, what is the product of f(x) and g(x)
Answers
The product of the functions f(x) = [tex]x^{2}[/tex] and g(x) = x - 8 is f(x).g(x) = [tex]x^{3} -8x^{2}[/tex]
The given functions are :
f(x) = [tex]x^{2}[/tex] --- (1)
g(x) = (x - 8) --- (2)
The product of the functions is obtained by multiplying equations (1) and (2)
f(x). g(x) = [tex]x^{2}[/tex] × (x - 8)
f(x).g(x) = [tex]x^{3} - 8x^{2}[/tex]
Let us take another example:
Let f(x) = [tex]x^{3} -2x^{2} +x-4[/tex] and g(x) = [tex]\frac{1}{2} x[/tex]
The product of the above two functions will be :
f(x).g(x) = [tex](x^{3} -2x^{2} +x-4) * (\frac{1}{2}x )[/tex]
= [tex](x^{3})(\frac{1}{2}x)-(2x^{2})(\frac{1}{2}x) + (x)(\frac{1}{2}x)-(4)(\frac{1}{2}x)[/tex]
= [tex]\frac{x^2}{2} -x+\frac{1}{2}-\frac{2}{x}[/tex]
= [tex]\frac{x^2}{2}-x-\frac{2}{x} +\frac{1}{2}[/tex]
Hence the answer is The product of the functions f(x) = [tex]x^{2}[/tex] and g(x) = x - 8 is f(x).g(x) = [tex]x^{3} -8x^{2}[/tex]
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Persevere with Problems William is 3 feet 1 inch tall and would like to ride a roller coaster. Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller William must be.
Answers
Step-by-step explanation:
1 ft = 12 in
he is 3 ft 1 in, that is then 3×12 + 1 = 37 in tall.
so,
37 + x >= 42
and then
x >= 42 - 37
x >= 5 in
write an equation of the line that passes through the given and is perpendicular to the given line (2,-5);2y=3x+10
Answers
An equation of the line that passes through the given and is perpendicular to the given line (2,-5); 2y=3x+10 is 3y = -2x - 11
Let (x1, y1) = (2, -5)
We can write the equation of line 2y=3x+10 as,
y = (3/2)x + 5
The slope of the line 2y=3x+10 is,
m1 = 3/2
Let m2 be the slope of the required line.
We know that the product of the slope of the perpendicular lines is -1
m1 * m2 = -1
(3/2) * m2 = -1
m2 = -2/3
Using slope point form of line,
(y - y1) = m2(x - x1)
y - (-5) = (-2/3) * (x - 2)
y + 5 = -2/3x + 4/3
y = -2/3x + 4/3 - 5
y = -2/3x -11/3
3y = -2x - 11
Therefore, an equation of the line that passes through the given and is perpendicular to the given line (2,-5); 2y=3x+10 is 3y = -2x - 11
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Write an equation in point slope form for the line that passes through (-3,5) with a slope of -3
Answers
An equation in point slope form for the line that passes through (-3,5) with a slope of -3 is y + 3x + 4 = 0
The standard equation of a line in point slope form is
y = mx + c
where m represents the slope of the line and c stands for y intercept
We need to find an equation in point slope form for the line that passes through (-3,5) with a slope of -3
y - y₁ = m(x - x₁)
y - 5 = -3(x - (-3))
y - 5 = -3 (x + 3)
y - 5 = -3x - 9
y + 3x + 4 = 0
Therefore, an equation in point slope form for the line that passes through (-3,5) with a slope of -3 is y + 3x + 4 = 0
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What is the equation of the line that passes through the points (4, -3) and (5, 0) in point-slope form? y - 5 = -1/3(x - 0) y - 4 = -3(x + 3) y - 0 = 1/3(x - 5) y + 3 = 3(x - 4)
Answers
Answer:
d. y+3=3(x-4)
Step-by-step explanation:
graphing both points you see a slope of 3. If you continue to follow the slope of 3, you will find the y-intercept is -15.
y+3=3(x-4)
y+3=3x-12
y+3(-3)=3x-12(-3)
y=3x-15 (slope intercept form)
Two friends, Tanisha and Zoey, had just bought their first cars. The equation
y = 18.4x represents the number of miles, y, that Zoey can drive her car for every a
gallons of gas. The table below represents the number of miles, y, that Tanisha can
drive her car for every a gallons of gas.
Tanisha's Gas Mileage
Gallons (x) Miles (y)
Use the dropdown menu and answer-blank below to form a
true statement.
Tanisha can travel
miles
than Zoey on one gallon of gas.
Answers
Answer:
3.5
Step-by-step explanation:
rate of change=
change in x
change in y
=
20
438
=21.9
y=18.4x
Tanisha−Zoey=
\,\,21.9-18.4
21.9−18.4
=
=
3.5
3.5
100 POINTS PLE HELP ASAP
A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.
x > 0 and y > 0
0 < x ≤ 200 and y > 400
0 < x and y < 200
0 < x ≤ 200 and 0 < y ≤ 400
Answers
Answer:
option c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
0 < x and y <200
please help
Fully simplify.
(-9√-63)(-√-49)
Answers
Answer:
(-9√-63)(-√-49)= (9/3)
Step-by-step explanation:
Find an expression which represents the sum of (-6x + 6) and (-3x – 7) insimplest terms.
Answers
Given an expression of (-6x +6) and (-3x - 7)
[tex]\text{The sum of the expression (-6x +6) and (-3x -7)}[/tex][tex]\begin{gathered} -6x\text{ + 6 + -3x -7 } \\ \text{collecting like terms} \\ -6x\text{ -3x + 6 - 7 } \\ -9x\text{ - 1} \end{gathered}[/tex]Hence the solution to the above expression is
[tex]-9x\text{ - 1}[/tex]Solve for n: 2n = n + 3 O A. 1 O O c. 3 3 OD. 5 E 6
Answers
Step 1: Problem
2n = n + 3
Step 2: Concept
Collect like terms and find the value of x.
2n = n + 3
2n - n = 3
n = 3
Step 3: Final answer
n = 3
Find the missing the side of the triangle.A. √30 ydB. √17 ydC. 2√5 ydD. 0 yd
Answers
For the given triangle, hypotenuse side is x and length of legs of right triangle is,
[tex]\sqrt[]{10}\text{ yards}[/tex]Determine the value of x by using pythagoras theorem in right angle triangle.
[tex]\begin{gathered} x=\sqrt[]{(\sqrt[]{10})^2+\sqrt[]{10})^2} \\ =\sqrt[]{10+10} \\ =\sqrt[]{20} \\ =\sqrt[]{2\cdot2\cdot5} \\ =2\sqrt[]{5} \end{gathered}[/tex]Answer: Option C (2√5 yd)
How do you graph y=4x at x=-4? What does it look like on a graph
Answers
We want to plot the graph of the equation;
[tex]y=4x[/tex]we can do this by assuming to different values of x and deriving the corresponding values of y at those points.
for x= -4;
[tex]\begin{gathered} y=4(-4) \\ y=-16 \end{gathered}[/tex]Also taking a second point.
at x = 0;
[tex]\begin{gathered} y=4(0) \\ y=0 \end{gathered}[/tex]Since the equation is a linear equation, the graph will be a straight line graph;
the graph will be a straight lin passing through the two points derived.
[tex](-4,-16)\text{ and (0,0)}[/tex]the graph of the given equation can be shown below;
Which of the following expressions is equivalent to the one shown below?312NowΟ Α.OB. 382O c. 3828OD. 8.• (-/-)
Answers
Given:
[tex](\frac{3}{2})^8[/tex]Then:
[tex](\frac{3}{2})^8=\frac{3^8}{2^8}^[/tex]ANSWER
C
Which equation represents the line that is parallel to y=3/4x + 7 and passes through (-12,36)?
Answers
Answer:
If it is parallel:m parallel line=m line given, so:
mparallel=3/4
And it passes through one point given, so we use the formula: y-y0=m(x-x0)
so: y-36=3/4(x+12)
y=3/4x+9+36
y=3/4x+45 is the correct answer.
Brandon saved 2 gigabytes of music on his mp3 player. Of the music,1/4 is hip hop. What fraction of a gigabyte did Brandon use for his hip hop music??EQUATION: 2 x 1/4 = 2 ÷ _______, or / ? Draw a picture to show the answer
Answers
Answer:
2 x 1/4 = 2 ÷ 4, or 1/2
Explanation:
To multiply a number by a fraction, we can use the following equation:
[tex]a\times\frac{b}{c}=\frac{a\times b}{c}[/tex]Then, to know what fraction of gigabyte Brandon uses for his hip hop music, we need to multiply 2 gigabytes by 1/4 to get:
[tex]2\times\frac{1}{4}=\frac{2\times1}{4}=\frac{2}{4}=\frac{1}{2}[/tex]Where 2/4 is equal to 2 ÷ 4 and it is equivalent to 1/2
Therefore, the answer is:
2 x 1/4 = 2 ÷ 4, or 1/2
It means that Brandon uses 1/2 gigabytes for hip hop music
Additionally, we can represent the situation as:
9- (4x + 4) = 3x - 10 + 8x
Answers
Answer: 1=x
Step-by-step explanation:
9-4x-4=3x-10+8x
9-4+10=3x+8x+4x
15=15x
1=x
Expand the brackets :
9 - 4x - 4 = 3x - 10 + 8x
-> 9 - 4x - 4 - (3x - 10 + 8x) = 0
-> 9 - 4x - 4 - 3x + 10 - 8x = 0
-> (9 - 4 + 10) - (4x + 3x + 8x) = 0
-> 15 - 15x = 0
15x = 15
x = 1
Might be confusing so just leave a comment if you don't understand (because I do the more detailed way really ;-;)
Solve the system of equations :-6x - y = -16-6x -5y = -8
Answers
The given system of equation are :
-6x - y = -16
-6x -5y = -8
On subtracting both the equation we get :
-6x -y -(-6x -5y) = -16 -(-8)
-6x -y +6x +5y = -16 +8
-6x + 6x +5y -y = -8
4y = -8
4y = -8
Divide both side by 4:
4y/4 = -8/4
y = -2
Substitute the value of y =- 2 in the any one equation:
-6x - y = -16
-6x - (-2)= -16
-6x + 2 = -16
-6x = -16 -2
-6x = -18
x = 3
Answer : x = 3, y = -2
Find the decay factor from the function y = 500(0.75)3.
Answers
The given function is:
[tex]y=500(0.75)^3[/tex]It is required to find the decay factor.
Recall that the standard form of an exponential decay function is given as:
[tex]y=a(b)^x[/tex]Where a>0, 0and b is the decay factor.
Compare the given equation to the standard form.
It can be observed that b=0.75. Hence, the decay factor is 0.75.
The answer is 0.75.Complete the sequence of transformations that produces △X'Y'Z' from △XYZ.
A clockwise rotation
° about the origin followed by a translation
units to the right and 6 units down produces ΔX'Y'Z' from ΔXYZ.
Answers
A clockwise rotation 90° about the origin followed by a translation
2 units to the right and 6 units down produces Δ X'Y'Z' from Δ XYZ
There are four types of transformations: reflection, rotation, translation, and dilation.
What are transformations?Translation, rotation, reflection, and dilation are the four primary categories of transformation.
* Let's update the translation and rotation.
-If point (x, y) rotates 90 degrees counterclockwise with respect to the origin, then Its picture is (-y , x)- If point (x, y) rotated 180 degrees counterclockwise with respect to the origin Its picture is (-x , -y)- If point (x, y) rotates 270 degrees counterclockwise with respect to the origin Its picture is (y , -x)- If point (x, y) rotates 90 degrees clockwise with respect to the origin Its picture is (y , -x)- If point (x, y) rotates 180 degrees clockwise with respect to the origin Its picture is (-x , -y)If the point (x, y) rotated.
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Answer:clockwise rotation 90
translation is 2 units
Step-by-step explanation:
An arena manager tallies the number of snack items (hot dogs, nachos, and popcorn) sold at each of three concession stands in the arena.
Snack Item
Hot Dogs Nachos Popcorn Total
Concession
Stands Stand A 125 65 40 230
Stand B 218 119 52 389
Stand C 65 52 13 130
Total 408 236 105 749
What is the probability that a customer purchased popcorn, given that they purchased from stand B?
6.9%
13.4%
14.0%
49.5%
Answers
The probability that a customer purchased popcorn, given that they purchased from stand B is 13.4%.
What is termed as the probability?The term "probability" refers to the likelihood of a specific event (or set of events) occurring, explained on a linear scale from 0 (unlikelihood) to 1 (certainty), as well as as a proportion between 0 and 100%.For the given question;
The data for the selling of the snack items at arena are given;
Snack Item Hot Dogs Nachos Popcorn Total Concession
Stand A 125 65 40 230
Stand B 218 119 52 389
Stand C 65 52 13 130
Total 408 236 105 749
Now the customer purchased the popcorn from stand B.
Thus, total number of snack at stand B = 389
Total number of popcorn at stand B = 52
Thus,
Probability = favourable outcome/total outcome
Probability = 52/386
Probability % = 52/386 × 100
Probability % = 13.4%.
Thus, the probability that a customer purchased popcorn, given that they purchased from stand B is 13.4%.
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One pound is equal to 0.454 kilogram. If Jim has a mass of 50 kilograms, write an equation to represent how many pounds, p, he weighs.
Answers
Answer: p=110.1321 pounds
Step-by-step explanation:
50 divided by 0.454 is equal to 110.1321
5. Choose the correct answer.
Which theorem, term, or corollary is represented by the picture?
Answers
The picture represents isosceles triangle theorem.
From the figure :
It is represented that two sides are equal.
And the angles opposite to this two equal sides are equal.
So it is a isosceles triangle.
Isosceles triangle:
If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.
Therefore the picture represents isosceles triangle theorem.
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State the quadratic formula and multiply by the equation of Albert Einstein's theory of special relativity. Write 3-4 complete sentences to explain how you got your answer, and why this can benefit future civilizations.
Answers
Answer:
The Sacheverell Theorem of Mathematics is the answer to your question. I got this answer by using the Vasagle formula and distributing throughout the parenthesis. This can benefit future civilizations because it's an undiscovered new species in the winoculous alternate universe.
Step-by-step explanation:
I am from the year 2420 so I know. Do not doubt me.
Determine the inverse of the function f (x) = 2(x − 3)2 + 4.
Answers
The inverse of the function is [tex]f^-1 = \frac{1}{4}x + 2[/tex] .
What is inverse of the function ?
A function that "undoes" another function is known as an inverse in mathematics. To put it another way, if f(x) produces y, then y will produce x when y is fed into f's inverse function. A function f is said to be invertible if it has an inverse, and the inverse is represented by the symbol [tex]f^-1[/tex]
Here the given function is,
=> f(x) = 2(x-3)2+4
=> f(x) = 4(x-3)+4
=> f(x) = 4x-12+4
=> f(x) = 4x -8
Now take y= f(x) then,
=> y = f(x)=4x-8
=> y = 4x-8
Now interchange x and y then,
=> x = 4y-8
Now solve for y then,
=> x+8 = 4y
=> y= [tex]\frac{1}{4} x+ 2[/tex]
Then [tex]f^-1[/tex] = [tex]\frac{1}{4}x+ 2[/tex]
Therefore inverse of the function is [tex]f^-1 = \frac{1}{4}x + 2[/tex] .
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Write the equation of the sine curve.
Answers
The equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
What are trigonometric functions?The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given is the following specifications for a sine wave -
Amplitude: 3
Period: 3π
Phase Shift: π/8
Vertical Shift: -2
The general equation for sine wave is -
y = A sin(ωx + Ф) + k
Now, we know -
ω = 2π/T
ω = 2π/3π
ω = 2/3
And -
A = 3
Ф = π/8
k = - 2
y = 3sin[(2/3)x + π/8) - 2
Therefore, the equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
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Please help!!! Factorise this expression
Answers
Answer:
Step-by-step explanation:
Let's solve the equation:
3m² + 22m + 7 = 0
Discriminant:
D = b² - 4·a·c = 22² - 4·3·7 = 400
√ D = √ 400 = 20
m₁,₂ = ( - b ± √ D) / (2·a)
m₁ = ( - 22 + 20) / (2·3) = - 2/6 = - 1 / 3
m₂ = ( - 22 - 20) / (2·3) = - 42/6 = - 7
3m² + 22m + 7 = 3·(m - (-1/3))·((m - (-7)) =
= (3m + 1)·(m + 7)
3m² + 22m + 7 = (3m + 1)·(m + 7)
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 8 boys and 6 girls are competing, how many different ways could the six medals possibly be given out?
Answers
As given by the question
There are given that the total number of boys is 8 and total numbers of girls is 6.
Now,
Since there are two competitions, one for boys and one for girls and we want all the possible results we will calculate the possible combination for the boys and multiply them by the possible combination for the girls.
Then,
For the boys:
[tex]\begin{gathered} \text{Boys}=\frac{8!}{(8-3!)} \\ \text{Boys}=\frac{8!}{(8-3)!} \\ \text{Boys}=\frac{8!}{(5)!} \\ \text{Boys}=\frac{8\times7\times6\times5!}{(5)!} \end{gathered}[/tex]Then,
[tex]\begin{gathered} \text{Boys}=\frac{8\times7\times6\times5!}{(5)!} \\ \text{Boys}=8\times7\times6 \\ \text{Boys}=336 \end{gathered}[/tex]Now,
For the girl:
[tex]\begin{gathered} Girl\text{s}=\frac{6!}{(6-3)!} \\ Girls\text{s}=\frac{6!}{(3)!} \\ Girls\text{s}=\frac{6\times5\times4\times3!}{(3)!} \end{gathered}[/tex]Then,
[tex]\begin{gathered} Girls\text{s}=\frac{6\times5\times4\times3!}{(3)!} \\ Girls=6\times5\times4 \\ Girls=120 \end{gathered}[/tex]Now,
A total number of possible results:
[tex]\begin{gathered} \text{result}=120\times336 \\ \text{result}=40320 \end{gathered}[/tex]Hence, the ways are 40320.
Hank has picked 1.3 pounds of berries and picks about 0.75 pounds per min. Tom has picked 2.5 pounds of berries and picks about 0.5 pounds per minute. In how many minutes where are picked at least as many pounds of berries as Tom?
Answers
Hank: 1.3 pounds at a rate of 0.75 pounds per minute
Tom: 2.5 pounds at a rate of 0.5 pounds per minute
rate is given by
r = p / t
where p is the number of pounds picked during a fixed time
The number of berries picked by Hank during a certain time is given by the following equation
[tex]H=1.3+0.75t[/tex]For Tom, the equation is the following:
[tex]T=2.5+0.5\cdot t[/tex]Now, we need to find a time t when T and H are the same
[tex]\begin{gathered} H=T \\ 1.3+0.75t=2.5+0.5t \end{gathered}[/tex]We now just need to solve for t
Let's find t step by step
[tex]\begin{gathered} 1.3\cdot\: 100+0.75t\cdot\: 100=2.5\cdot\: 100+0.5t\cdot\: 100 \\ 130+75t=250+50t \\ 130+75t-130=250+50t-130 \\ 75t=50t+120 \\ 75t-50t=50t+120-50t \\ 25t=120 \\ \frac{25t}{25}=\frac{120}{25} \\ t=\frac{24}{5} \end{gathered}[/tex]Which is the same as t=4.8
PLEASE HELP AS SOON AS POSSIBLE
Answers
For the given figure, a parallel to b and l parallel to m
x° = 95°
y° = 95°
z = 85°
From figure,
a || b and l || m
∠RUT = ∠aRU (Alternate interior angle)
∠RUT = 85°
Again,
∠RUT + ∠UTS = 180° (Co-interior angle)
85° + x° = 180°
x° = 180° - 85°
x° = 95°
again from figure,
x° = y° (Vertical opposite angle)
y° = 95°
also,
∠UTS + z° = 180° (Linear Pair)
x° + z° = 180°
z° = 180° - x°
= 180° - 95°
z° = 85°
So from above calculation,
x° = 95°
y° = 95°
z = 85°
Hence option B is correct
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