Answer:
y=|x|-0.5
Step-by-step explanation:
downward is represented outside of the abolsute value.
Answer:
|x|-0.5
Step-by-step explanation:
its correct
i need to answer and explain
Answer:
parallel
Step-by-step explanation:
Solve both equations for y to make it easier to compare them.
2x - 5y = 0 ↔ 5y = 2x, or y = (5/2)x.
y = (5/2)x - 3
Since the slopes are the same, the two lines are parallel.
Pls help meh and explain this:/
answer is b because you can see that it breaks the cycle
Solve the equation.
12=2+z/-6
Answer:
[tex]\boxed{\bold{z=-60}}[/tex]
Step-by-step explanation:
Switch Sides
[tex]\bold{2+\frac{z}{-6}=12}[/tex]
Subtract 2 From Both Sides
[tex]\bold{2+\frac{z}{-6}-2=12-2}[/tex]
Simplify
[tex]\bold{\frac{z}{-6}=10}[/tex]
Multiply Both Sides By -6
[tex]\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}[/tex]
Simplify
[tex]\bold{z=-60}[/tex]
The value of z is -60
Step-by-step explanation:see the image
two carts have 22 bags of groceries between them. The larger one has 13 bags. How many bags are in the smaller one?
Answer:
9 bags
Step-by-step explanation:
22 - 13 = 9
Since there is two carts and we know that in one of them (bigger one) is 13 bags and that we know there is in sum of two 22 bags, we will need to subract sum of bags from two carts by bags from bigger cart to get amount of bags in small cart (in which one we finding that there will be 9 bags).
The smaller cart contains 9 bags.
How to find the number of bags in the smaller cart as given in the question ?It is given that two carts have 22 bags of groceries between them.
Also given that the larger one has 13 bags in it .
Therefore to find the bags in the smaller cart is =
(22 - 13) = 9 bags.
Therefore the smaller cart contains 9 bags.
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Tonya bought a sweater that cost $29.99 plus $1.60 tax. She used a coupon for $10 off. She paid the cashier $25. How much change should Tonya receive?
29.99 + 1.60 = 31.59
31.59 - 10 = 21.59
25 - 21.59 = 3.41
Tonya’s change she will receive will be $3.41
I hope this helps.
Tonya should receive $3.41 in change from the cashier after using a $10 coupon and paying $25.
Tonya's change:
Original total cost ,, = $29.99 + $1.60 = $31.59Total with the $10 coupon = $31.59 - $10 = $21.59Change received = $25 - $21.59 = $3.41consider the following graph of a linear function which equations have the same slope as the graph above select all that apply
Answer:
Step-by-step explanation:
which graph?
Which of the following equations describes a relationship of inverse variation between input and out put ?
Answer:
option A
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
output ∝ 1 / inputto remove this sign of proportionality
output = k / inputwhere k is a constant
Plz help me i need it
Answer: a) k(x) = 2ˣ
Step-by-step explanation:
[tex]g(x) = 3(2^x)\qquad h(x)=2^{x+1}\\\\k(x) = (g-h)(x)\\.\qquad =3(2^x)-2^{x+1}\\.\qquad =3(2^x)-2^x\cdot 2^1\\.\qquad =3(2^x)-2(2^x)\\.\qquad =1(2^x)\\.\qquad =\large\boxed{2^x}[/tex]
Two equations are given below:
m + 4n = 8
m = n − 2
What is the solution to the set of equations in the form (m, n)?
(4, 6)
(2, 4)
(0, 2)
(6, 8)
The solution to the set of equations is (0,2).
Reasoning:
m + 4n = 8 -> 0 + 4(2) = 8
m = n - 2 -> 0 = 2 - 2
Answer:
Yes, B is correct.
Step-by-step explanation:
plz help me with this
Answer:
1,887
Step-by-step explanation:
i added all the calories i believe it is the answer unless there are more steps
IN A RUSH PLZ HELP!!!!! ASAP
Evaluate 49/81−−√ .
Enter your answer, as a fraction in simplest term, in the box.
Answer: [tex]\bold{\dfrac{7}{9}}[/tex]
Step-by-step explanation:
[tex]\sqrt{\dfrac{49}{81}}=\dfrac{\sqrt{49}}{\sqrt{81}}=\large \boxed{\dfrac{7}{9}}[/tex]
Solve the equation f(x) = g(x) by graphing the functions f(x)= 2^x + 1 and g(x) = 5 on the same set of coordinate axes.
Which statements about the solution to the equation are true?
Select each correct answer.
a. The ordered pair that contains the solution to the equation lies in Quadrant II.
b. there are 2 solutions to the equation.
c. The ordered pair that contains a solution to the equation lies in Quadrant I.
d. The solution to the equation is x = 2.
e. The ordered pairs that contain the solutions to the equation lie in Quadrant I and II.
Answer:
C) The ordered pair that contains a solution to the equation lies in Quadrant I.
D) The solution to the equation is x = 2
Step-by-step explanation:
we have
[tex]f(x)= 2^x + 1[/tex]
[tex]g(x)= 5[/tex]
[tex]f(x)=g(x)[/tex]
we know that
The solution is the x-coordinate of the intersection point both graphs
using a graphing tool
The intersection point is [tex](2,5)[/tex]
therefore
The solution is [tex]x=2[/tex]
see the attached figure
Verify each statement
case A) The ordered pair that contains the solution to the equation lies in Quadrant II
The statement is False
The ordered pair that contains the solution to the equation lies in the first quadrant
case B)There are 2 solutions to the equation
The statement is False
The equation has only one solution
case C) The ordered pair that contains a solution to the equation lies in Quadrant I.
The statement is True (see the procedure)
case D) The solution to the equation is x = 2
The statement is True (see the procedure)
case E) The ordered pairs that contain the solutions to the equation lie in Quadrant I and II
The statement is False
The ordered pair that contain the solution to the equation lie in Quadrant I
Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using an exponent. B) Find the total surface area of Han’s cubes. Express your answer as an expression using an exponent.
Answer:
A) Vol_10_cubes = 2*(5^4) inch^3
B) Area_10_cubes = (2^2)*3*(5^3) inch^2
Step-by-step explanation:
A)The volume of a cube, as all sides are equal:
Vol_cube = (side)^3
side = 5 inches
Vol_cube = 5^3 inch^3
Since we have 10 cubes
10 = 2*5
Vol_10_cubes = 2*(5^4) inch^3
B) A cube has six faces, each with area equal to its squared side
Area_cube = 6*(side)^2
Area_cube = 6*(5)^2 inch^2
Area_10_cubes = 2*5*6*(5)^2 inch^2
Area_10_cubes = (2^2)*3*(5)^3 inch^2
The total volume of Han's cubes is given by the expression 10 × 5³ cubic inches, and the total surface area can be expressed as 10 × 6 × 5² square inches.
Explanation:The question asks for the calculation of volume and surface area of cubes with a given side length.
Volume Calculation
To find the volume of a single cube, we use the formula V = s³, where s is the length of a side of the cube. Because each side of the cube is 5 inches, the volume of one cube is V = 5³ inches³, which equals 125 cubic inches. Now, Han has 10 cubes, so the total volume is 10 times the volume of one cube, which can be expressed as:
Total Volume = 10 × 5³ inches³
Surface Area Calculation
The surface area of a single cube is found using the formula SA = 6s², since there are six sides to a cube. With a side length of 5 inches, the surface area of one cube is SA = 6 × 5² square inches, which equals 150 square inches. For 10 cubes, the total surface area is 10 times the surface area of one cube, which can be expressed as:
Total Surface Area = 10 × 6 × 5² square inches
I just need to know if it’s right. Thanks!
You are correct! It’s C
PLS HELP! FREE POINTS! I NEED THIS QUESTION ANSWERED AS QUICK AS POSSIBLE!
What is the simplest form of the ratio 40 : 16?
A. 20 : 8
B. 10 : 4
C. 5 : 4
D. 5 : 2
E. 10 : 8
The answer is D 5:2
4:16
10:4
5:2
A fair number cube , labeled with digits 1 through 6, is rolled four times. What is the probability of rolling a 6 all four times?
Answer:
Step-by-step explanation:
chance of rolling a 6 once on a die: 1/6
1/6 * 1/6 * 1/6 * 1/6 = 1/(36^2)= 1/1296
The graph of a system of parallel lines will have no solutions. (1 point) Select one: a. Always b. Sometimes c. Never
Answer:
Always
Step-by-step explanation:
They never intersect
Answer:
Always
Step-by-step explanation:
The solution to a system of equations graphically is at the point of intersection of the graphs.
If the lines are parallel then they never intersect and so there is no solution.
The graphs below have the same shape. What is the equation of the blue graph?
Answer: OPTION B
Step-by-step explanation:
The red graph shows the parent function of a quadratic function (which is the simplest form of a quadratic function), whose vertex is at the origin.
The function g(x) is the result of shift the parent function 2 units to the right and shift it 1 unit up.
Therefore, keeping the above on mind you have that the transformation has the following form:
[tex]g(x)=(x-h)^2+k[/tex]
Where the horizontal shift depends on the value of h and the vertical shift depends on the value of k.
Therefore, you obtain the function:
[tex]g(x)=(x-2)^2+1[/tex]
Answer:
B. [tex]g(x)=(x-2)^2+1[/tex]
Step-by-step explanation:
The equation of the red graph is [tex]f(x)=x^2[/tex].
The blue graph has its vertex at (2,1)
Hence its equation is of the form;
[tex]g(x)=a(x-2)^2+1[/tex]
This graph has y-intercept (0,5).
[tex]5=a(0-2)^2+1[/tex]
[tex]5-1=a(-2)^2[/tex]
[tex]4=4a[/tex]
[tex]1=a[/tex]
The blue graph therefore has equation;
[tex]g(x)=(x-2)^2+1[/tex]
I need help with this
The answer is circle, because the shape is a cylinder. Cylinders have a circle on the bottom.
I just need help with 4-6
The length of a rectangular prism is four times the width. The height of the prism is 8 ft. If the volume of the prism is 160 ft3, what is the width of the prism? Round to the nearest tenth of a foot.
A. 8.9 ft
B. 2.2 ft
C. 4.5 ft
D. 10.8 ft
Answer:
2.2
Step-by-step explanation
(guess and check)
2.2 x 4 = 8.8
2.2 x 8.8 x 8 = 160
The width of the prism is approximately 2.2 feet.
Explanation:Let's assume that the width of the prism is x feet. Since the length of the prism is four times the width, the length can be represented as 4x feet. Given that the height is 8 feet, we can use the formula for the volume of a rectangular prism: Volume = Length x Width x Height. Plugging in the given values, we get the equation 160 = 4x * x * 8. By solving this equation, we find that the width of the prism is approximately 2.2 feet (when rounded to the nearest tenth).
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Name the following segment or point.
Given: L,M,N aw midpoints
Altitude to AB
Answer:
Segment CR.
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the segment that is altitude to segment AB.
We know that the altitude of triangle is the perpendicular drawn from a vertex of triangle to opposite side.
We can see that vertex opposite to segment AB is [tex]\angle ACB[/tex]. We can see that there are two lines drawn from vertex C that are segment CR and CN.
We have been given that points L, M and N are midpoints for our given triangle. We know that segment that is midpoint of triangle is known as median of triangle, therefore, CN is not a correct choice.
We can see that segment CR is perpendicular to segment AB, therefore, option B is the correct choice.
Answer: CR
hope this helps have a nice day
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Check all that apply. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: 10/20 = x/1,500. 10x30/20x30=x/1,500. 300=x He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20x75=1,500
Answer:
1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2) He did not multiply the numerator and denominator by the correct number to equal 1,500.
5) He should have multiplied the numerator and denominator by 75, not 30, because 20 x 75 = 1,500.
Step-by-step explanation:
Final answer:
Josiah made errors in predicting the number of rock songs on his MP3 player by not averaging the samples correctly and by using the wrong multiplication factor in his proportion calculation. The correct average should be 5, and he should have used a factor of 75 to scale his samples up to the total number of songs.
Explanation:
The student has used a proportion to predict the number of rock songs on his MP3 player based on a sample. However, the prediction method has a few mistakes that should be corrected for an accurate estimate.
Josiah's initial prediction did not consider averaging the number of rock songs from both samples, which would have given a better representation of the average occurrence in the sample set. The correct average is (4+6)/2 = 5 rock songs per sample.
The proportion set up by Josiah is 10/20 = x/1,500, which implies that the 10 rock songs in his samples represent half of all songs played. This should have been compared to the total number of songs on the MP3 player, 1,500, requiring him to multiply by a specific number. Yet, the multiplication factor used (30) was incorrect. To scale up 20 to 1,500, he should use the factor of 75, because 20 × 75 = 1,500.
The correct proportion should be 5/20 = x/1,500, which simplifies to 1/4 = x/1,500, and then x = 1,500/4 = 375. Hence, the predicted number of rock songs based on the sample should be 375.
what is the distance ?
Pythagoras' Theorem
[tex]c^{2} =\sqrt{a^{2}+b^{2}}[/tex]
a = 5
b = 7
[tex]c^{2} =\sqrt{5^{2}+7^{2}}[/tex]
[tex]c^{2} =\sqrt{25+49}[/tex]
[tex]c^{2} =\sqrt{74}[/tex]
c = 8.6023252627c = 8.6 to 1d.p.
The distance is 8.6 units
Step-by-step explanation:see the image
Which system of linear inequalities is represented by the graph?
Answer:
The system of inequalities is
[tex]y\leq -\frac{1}{3}x+2[/tex]
[tex]y>\frac{2}{3}x+3[/tex]
Step-by-step explanation:
step 1
Find the equation of the solid red line
Let
[tex]A(0,2),B(3,1)[/tex]
Find the slope
[tex]m=(1-2)/(3-0)=-1/3[/tex]
The equation of the line is
[tex]y=-\frac{1}{3}x+2[/tex]
The solution of the inequality is the shaded area below the solid red line
therefore
The inequality is
[tex]y\leq -\frac{1}{3}x+2[/tex]
step 2
Find the equation of the dashed blue line
Let
[tex]A(0,3),B(3,5)[/tex]
Find the slope
[tex]m=(5-3)/(3-0)=2/3[/tex]
The equation of the line is
[tex]y=\frac{2}{3}x+3[/tex]
The solution of the inequality is the shaded area above the dashed blue line
therefore
The inequality is
[tex]y>\frac{2}{3}x+3[/tex]
The system of inequalities is
[tex]y\leq -\frac{1}{3}x+2[/tex]
[tex]y>\frac{2}{3}x+3[/tex]
A scale drawing of a rectangular parking lot is shown. The width of the parking lot is smaller than the length. The width of the actual parking lot is 48 feet
Sorry, but is there a picture or anything to see the parking lot? Also what do you need?
What is the value of X? show all of your work
Answer:
5
Step-by-step explanation:
We need to use Pythagoras' theorem.
For this we can use the pythagoras formula a^2+b^2=c^2 and rearrange this
We then will have 8^2+b^2=89
(because 89(sqrt) squared is 89)
We can then solve for what x is.
We take away 64 from 89 which is 25
the square root of 25 is 5
Therefore x=5
Jeremy made 2 quarts of lemonade. Which expression can be used to find the number of fluid ounces of lemonade, Jeremy made.
A: 2×2×2
B:2×2×8
C: 2×2×2×2
D:2×2×2×8
The correct answer is D.
There are 32 fluid ounces in a quart so 2 quarts would have 64 fluid ounces and the last equation represents this.
I hope this makes sense and is helpful.
Answer:
D
Step-by-step explanation:
Use the distributive property to factor the expression.
8yz − 16xy
The answer is 8y(yz-2x
Answer:
8y(z - 2x)
Step-by-step explanation:
The two given terms have the following factors in common: 8 and y.
Thus, the product in question is 8y(z - 2x).
Real Answer:
8y(z - 2x)
Thank you altavistard they helped me!
Examine the equation: 4x = 2 − y Which equation represents the equivalent equation in slope-intercept form?
Answer:
2 - y = 4x
y - 2 = -4x
y = -4x + 2