Using elimination method, the value of system of equations x = 1 and y = -3.
How to solve the equations by the elimination method?When solving a system of equations using the elimination method, the first step is to make the coefficient of one of the variables to be equal.
Given;
2x + y = -1
4x - y = 7
Add both the equation, we get
2x + y + 4x - y = -1 + 7
6x = 6
x = 1
Also,
2x + y = -1
y = -1 - 2
y = -3
Therefore, the value of x = 1 and y = -3.
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HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answer:
ABE is the answer hope this helps
8 1/5-2 7/8 Fractions math
Answer:
5 13 /40
Step-by-step explanation:
hope this helps :))
for questions that require a numerical answer, you may be told to round your answer to a specified number of decimal places or you may be asked to provide an exact answer. when asked to provide an exact answer, you should enter repeating decimals in their fraction form and irrational numbers such as e^5, ln(4), or V2 in their symbolic form. consider the function f(x)= e^x +1/3x a. Find f(5), Give an exact answer b. Find f(11), Give your answer rounded to 3 decimal places
The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.
The function is f(x)= e^x + 1/3x
To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.
Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.
Which is equal to f(11) = e^11 + 11/3
f(11) = 59874.141715198 + 3.6666666667
f(11) = 59877.808381865
f(11) ≈ 59877.808
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PLZ HELP ME
The graph shows the solution to which system of inequalities?
A) y < -2x + 4 and y < 2x + 4
B) y < -2x + 4 and y ≤ 2x + 4
C) y > -2x + 4 and y ≤ 2x + 4
D) y ≤ -2x + 4 and y ≤ 2x + 4
Answer:
see below
Step-by-step explanation:
The shading is below the line in both cases. The dashed line has negative slope, so the inequality associated with it is ...
y < -2x +4 . . . . . . note that the < symbol has no "or equal to"
The solid line has positive slope, so its inequality is ...
y ≤ 2x +4
Both these inequalities are found in choice B.
People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)
Answer:
230.4
Step-by-step explanation:
11,979 divided by 52 is 230.365384615.
230.365384615 Rounded gets the answer
Please answer this it’s so diffult for me
Answer:
3/100, 0.3, 33/100, 3.03, 3 3/10, 3.33
5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
Can someone solve this pls
Graph the image of rectangle KLMN after a rotation 180° counterclockwise around the origin.
Given:
There are given that rectangle 180 degrees.
Explanation:
According to the concept:
When we rotate any image about 180 degrees with respect to origin then:
\((x,y)\rightarrow(-x,-y)\)Now,
The coordinate point of the rectangle is:
\(\begin{gathered} K=(-9,5) \\ L=(-2,5) \\ M=(-2,9) \\ N=(-9,9) \end{gathered}\)Then,
After rotation, the new coordinate point is:
\(\begin{gathered} K^{\prime}=(9,-5) \\ L^{\prime}=(2,-5) \\ M^{\prime}=(2,-9) \\ N^{\prime}=(9,-9) \end{gathered}\)Final answer:
The graph of the rectangle after rotating about 180 degrees.
can someone help :(!
Answer:
452.16 I'm pretty sure..
Answer:
A=452.16 mm
Step-by-step explanation:
A=πr^2
A=π12^2
A=π144
A=452.16 mm
please help me solve
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, \(\bar{x}\) = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, \(\bar{y}\) = 8.4
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4
∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - \(\bar{x}\))² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
\(a = \bar{y} - b\bar{x}\)
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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A cylinder has a radius 3 inches and height 5 inches. A cone has the same radius and height. What is the volume of the cylinder
✰ Given Information :-
⠀
A cylinder with following dimensions :
Radius = 3 inchesHeight = 5 inches⠀
✰ To Find :-
⠀
The volume of the cylinder⠀
✰ Formula Used :-
⠀
\( \qquad \star \: \underline{ \boxed{ \purple{\sf Volume_{Cylinder} = \pi {r}^{2} h}}} \: \star\)
⠀
Where,
r = radius h = height⠀
✰ Solution :-
⠀
Putting the values in the formula, we get,
⠀
\( \sf \longrightarrow Volume=3.14 \times {(3)}^{2} \times 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 \times 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^{3} }}}} \: \star \: \: \: \: \: \\ \)
⠀
Thus, the volume of the cylinder is 141.3 cm³.
⠀
\( \underline{ \rule{230pt}{2pt}} \\ \\ \)
Step-by-step explanation:
As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.
\( \: \)
We know,
\({ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = \pi {r}^{2}h }}}} \\ \\\)
Where,
r is the radius of the cylinder.h is the height of the cylinder.Here, we will take the value of π as 3.14 approximately .\( \: \)
Now, we will substitute the given values in the formula :
\( \: \)
\({ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times ( {3})^{2} \times 5 }}}} \\ \\\)
\({ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 9 \times 5 }}}} \\ \\\)
\({ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 45 }}}} \\ \\\)
\({ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = 141.3 }}}} \\ \\\)
Note :
Answer might be different if we take the value of π as 22/7 .A basketball player in a game makes x free throws worth 1 point and y 2-point baskets. The player needs to score at least 28 points to win the scoring title. What inequality represents the number and type of shots the player needs to win the title?
The inequality that represents the number and type of shots the player needs to win the title is -
x + 2y ≥ 28
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have A basketball player in a game who makes [x] free throws worth 1 point and [y] free throws worth 2 point baskets. The player needs to score at least 28 points to win the scoring title.
The inequality that represents the number and type of shots the player needs to win the title is -
x + 2y ≥ 28
Therefore, the inequality that represents the number and type of shots the player needs to win the title is -
x + 2y ≥ 28
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Ok this is an easy one.
-1.5 multiplied by what will get me -1?
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
meter. (V = 53)
** Round to one decimal place.
The length of an edge is the cubic root of the volume.
Cubic root 1.8 = 1.2 meters
Why is the graph shown a line of best fit?
The points are evenly distributed above and below the line, which provides the best explanation for why the graph displays a line of best fit.
What is the regression line?A statistical tool that shows the relationship between two variables is a regression line. It is employed specifically when a change in one (the dependent variable) is dependent on a change in the value of the other (the independent variable).
Given the graph,
for the line of best fit, A graph's nodes are connected by a mathematical concept known as the line of greatest fit. It is a kind of linear regression that uses scatter data to determine how to best define the relationship between the dots.
A change in the value of X causes a change in the value of the equation, which is written as Y on X.
X on Y is the equation, and the deviation of the Y variable determines how the X variable changes.
The graph shows a line of greatest fit because the spots are equally spaced above and below the line.
Hence the points are drawn uniformly above and below the line, thus the best explanation is that the graph displays a line of best fit.
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Compute the following expressions.
30 - 2²
Answer:
26
Step-by-step explanation:
2 squared equals 4. So 30 - 4 = 26
hope it helps!
WY is a midsegment of AVXZ.
If VZ = 5t + 51 and WY = 11t, what is VZ?
VZ is 92.5. WY is the midsegment of AVXZ, it means that WY is parallel to AX and its length is half the length of AX.
what is midsegment ?
A midsegment of a triangle is a line segment connecting the midpoints of two sides of the triangle. It is also known as a midline. The midsegment of a triangle is parallel to the third side of the triangle, and its length is half the length of the third side.
In the given question,
Since WY is the midsegment of AVXZ, it means that WY is parallel to AX and its length is half the length of AX.
Let's call the length of AX as L. Then, we have:
WY = 11t = 1/2 L
Multiplying both sides by 2, we get:
22t = L
Now, we can use this information to find VZ. Since WY is also parallel to VZ, we have:
WV = VZ
Substituting WV = L/2 and VZ = 5t + 51, we get:
L/2 = 5t + 51
Substituting L = 22t, we get:
22t/2 = 5t + 51
11t = 5t + 51
6t = 51
t = 8.5
Substituting t = 8.5 in the equation for VZ, we get:
VZ = 5t + 51 = 5(8.5) + 51 = 92.5
Therefore, VZ is 92.5.
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25/23 to the nearest hundred
Answer:
1.09 is the answer for the question
Answer:
1.09
Step-by-step explanation:
25/23 to the nearest hundred is mean to round up the decimal points.
25/23= 1.08695652174.
1.08695652174 to the nearest hundred would be 1.09.
Please give the brainliest! :D
Jia sells duck eggs. A customer buys 4 cartons. There are 6 eggs in
each carton. How many eggs does the customer buy in all?
Answer:24
Step-by-step explanation:
If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all
One cartoon= 6 eggs
Two cartoon = 12 eggs
Three cartoon = 18 eggs
Four Cartoon = 24 eggs
So the Customer buys 24 eggs in all
Does the graph represent a function, Why or why not?
A. Yes, because it passes the vertical line test.
B. No, because it fails the vertical line test.
C. Yes, because it passes the horizontal line test.
D. No, because it fails the horizontal line test
Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
what is 3/4 × blank = 18/4
Answer:
6
Step-by-step explanation:
Inverse operation
18/4 divided by 3/4 = 6/1 = 6
Answer:
6
Step-by-step explanation:
18/4 divided by 3/4 hope the image helps!
Consider the functions below.
f(x) = -1
g(x) =+1
Find each of the following, if possible. (If it is not possible, enter NONE.)
Answer:
NONE simply because they both are not possible
In an equilateral triangle, all side lengths are equal and all angle measures are equal. Sketch an equilateral triangle. What are the measures of its angles??
Answer:
every angle equals 60°
Step-by-step explanation:
the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60
An instructor announces that 2 out of 5 test
questions will be essay-type questions. If the
test has 20 questions, how many are essay-type
questions?
Answer:
8 essay-type questions
Step-by-step explanation:
This is the answer because:
1) 2 out of 5 is the same as 2/5
2) Next, we have to get 2/5's denominator to equal 20.
2 x 4/5 x 4 = 8/20
3) 8/20 means that 8 of the test questions are essay-type
Hope this helps!
To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in2 . Han says that the actual area of the restaurant is 720 ft2. Do you agree or disagree? Explain your reasoning.
9514 1404 393
Answer:
disagree
Step-by-step explanation:
If 1 inch represents 12 feet, then a square 1 inch on a side will represent a square area 12 feet on a side, or 144 square feet. 60 such areas is ...
60 × (12 ft)² = 8640 ft² ≠ 720 ft²
Han has made an error in computing the actual area.
Help me out please I’ll give all five stars
I think it is 10 miles.
I hope this helps! :)
between what two consecutive integers must log2(17) lie
Answer:
4 and 5
Step-by-step explanation:
For answering questions like this, it can be useful to remember a few of the powers of small integers:
2^4 = 16
2^5 = 32
Exponents and logarithmsA logarithm can be considered to be an exponent of the base.
\(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)
The ordering of powers of 2 relative to the number of interest (17) is ...
16 < 17 < 32
2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2
log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality
4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs
Log₂(17) lies between 4 and 5.
__
Additional comment
Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.
log₂(17) = log(17)/log(2) . . . . . . using logs to the same base