Answers
Answer:
x=3, y=-1
Step-by-step explanation:
[tex]3x+y=8, 2x-2y=8[/tex]
Double the first equation, then add the second
6x+2y=16
+ 2x-2y=8
The y's cancel each other out.
8x=24
x=3
Solve for y
6-2y=8
2y=-2
y=-1
Double check:
6(3)+2(-1)=16
18-2=16
Yay!
Related Questions
Find the vertex: y=1/2 x^2+2x-3
Please explain how to find the answer too!
Answers
Answer:
(-2,-5)
Step-by-step explanation:
Y=x^2/2 +2x-3
Y=1/2 ×(x+2)^2 -5
a=1/2
h=-2
k=-5
(-2,-5)
The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:
x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2
To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:
y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3
= 1/2(4) - 4 - 3
= -5
Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
Learn more about parabola here:
brainly.com/question/4074088
#SPJ2
Question 3 of 10
What are the domain and range of the function represented by the table?
х
-5
0
5
10
15
|
у
-1
0
1
2
3
O A. Domain: -5 sxs 15
Range:{-1,0, 1, 2, 3}
O B. Domain: {-5, 0, 5, 10, 15}
Range: -1 sys3
O C. Domain: {-1,0, 1, 2, 3}
Range:{-5, 0, 5, 10, 15}
D. Domain:{-5, 0, 5, 10, 15)
Range:{-1,0, 1, 2, 3}
Answers
Given:
The table of values of a function.
To find:
The domain and range of the given function.
Solution:
Domain: The set of input values of x-values is known as domain.
Range: The set of output values of y-values is known as domain.
From the given table it is clear that x-values are [tex]-5,0,5,10,15[/tex] and the y-values are [tex]-1,0,1,2,3[/tex]. So,
[tex]Domain=\{-5,0,5,10,15\}[/tex]
[tex]Range=\{-1,0,1,2,3\}[/tex]
Therefore, the correct option is D.
The domain and range of the function represented by the table is as follows:
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}What are domain and range of a function?The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.
The domain are likewise called input . The domain are usually the x values
The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.
Therefore, the domain and range of the function represented by the table is as follows;
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}learn more on domain and range here; https://brainly.com/question/25173046
Divide (16m³-10m²+2m)÷2m
Answers
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]
[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅
Step-by-step explanation:
[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Please telll me answerPlease tell me answer
Answers
Answer:
x = 1 . Hopefully im reading this correct
Step-by-step explanation:
8x - 5 = 3
8x = 5 + 3
8x = 8
x = 8/8
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x is 1
Step-by-step explanation:
AC =PR
AB =PQ
8x - 5 =3
8x =3+5
8x =8
x=8/8
x=1
Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces. Part A Which can holds the most tomato juice? Enter red, blue, or yellow in the answer box.
Answers
Answer:
Red can
Step-by-step explanation:
Tonato juice come in different sizes
The red can contains 6 cups
The blue can contains 2 pints
The yellow can contains 32 fluid ounces
Therefore the can that holds the highest juice is the red can with 6 cups if tomato juice
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?
Answers
Answer:
Step-by-step explanation:
Step 1
Find the fraction of the money he gave the charity
Let the total amount he had = 1
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.
Fraction of money he gave to charity =
1 - (4/5 + 3/4 + 2/3)
He gives the remaning $50,000 to a charity. How much did he win?
what are the coordinates of point V
Answers
Answer:
c is the and
no worries thank you to each of the Fourth of that mother you have any other questions please contact me
find the value of x
help me pls
Answers
Answer:
x = 30
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
4x-18 = 2x+6 + 36
Combine like terms
4x-18 = 2x+42
Subtract 2x from each side
4x-18-2x =2x+42-2x
2x-18 =42
Add 18 to each side
2x-18+18 = 42+18
2x= 60
Divide by 2
2x/2 = 60/2
x = 30
Write the following number by entering one digit in each box of the place value chart.
Answers
Answer:
The number itself is 508.231
Step-by-step explanation:
Any multiplying each of the numbers, we will have the specific places
Hundreds
5 * 100 = 500
Tenths
0 * 10 = 0
ones
8 * 1 = 8
Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2
Hundredths = 3/100 = 0.03
Thousandths = 1/1000 = 0.001
So we simply sum all these to get the number itself as follows
500 + 8 + 0.2 + 0.03 + 0.001 = 508.231
The measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 3?
Answers
Given:
Consider the below figure attached with this question.
To find:
The measure of angle 3.
Solution:
According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.
[tex]\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})[/tex]
Using the intersecting secant theorem, we get
[tex]m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))[/tex]
[tex]m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)[/tex]
[tex]m\angle 3=\dfrac{1}{2}(60^\circ)[/tex]
[tex]m\angle 3=30^\circ[/tex]
Therefore, the measure of angle 3 is 30 degrees.
Answer: 30 degrees
Step-by-step explanation:
need the points
Find the missing lengths of the sides.
Answers
Answer: x = 8, y = 8
Step-by-step explanation: If 8 is already on the exterior of the triangle then this means that every angle should also be 8. But, if this were an equilateral triangle, a triangle with equal sides, then ALL sides would HAVE to be 8. But since I don't have this information (if it's equilateral or not), then I can't be positive about this. Really hope this helps you!
Complete the table for the given rule. Rule: y = x + 3
Answers
Answer:
Step-by-step explanation:
since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this
if x = 1 y = 4
Answer:
x - 0 1 2 3 4 5
y - 3 4 5 6 7 8
It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.
Alma and Oliver both created this blue segment on the previous screen.
Alma used this expression to find the length: $$
Oliver used this expression to find the length: $$
Whose expression is correct?
Alma
Oliver
Both
Neither
Answers
Answer:
none
Step-by-step explanation:
that's not the correct sign
Help me please and no links
Answers
Answer:
x = -2
x=-12
Step-by-step explanation:
5 | x+7| +14 = 39
Subtract 14 from each side
5 | x+7| +14-14 = 39-14
5 | x+7| = 25
Divide each side by 5
5 | x+7| /5 = 25/5
| x+7| = 5
Make two equations, one positive and one negative
x+7 =5 x+7 = -5
Subtract 7 from each side
x+7-7 = 5-7 x+7-7 = -5-7
x = -2 x=-12
what is the total value of 6 in 24.63
Answers
Answer:
.60
Step-by-step explanation:
The values is 6 tenths
Hello can someone help me understand this explanation?
I don’t understand how they got 5x=5
Thank you!
Answers
Answer:
Starting from
2(-x) = 3x - 5
Distribute
-2x = 3x - 5
add 2x to both sides
0 = 5x - 5
Add 5 to both side
5 = 5x
Flip
5x = 5
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answers
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Which statement is true about Angle C P B?
Answers
Answer:
Step-by-step explanation: the second answer im not vary sure but ist kinda resonable
lisa had wood that was 12 1/2 feet long. she cut it into 5 pieces that are equal in leangth.how long is each piece of wood?
Answers
Answer:
2 1/2
Step-by-step explanation:
divide in 5 then divide half in 5 also
Answer:
2,5
Step-by-step explanation:
The length of a piece of wood is:
12 ½ : 5 = 5/2 = 2,5
The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.
6 Acirde shown below.bas center C What is the area of the shaded region?
Answers
Answer:
Step-by-step explanation:
The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:
[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:
[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get
r = 8. Now for the next one, which is a bit more involved.
In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:
[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of
[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.
Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:
[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is
[tex]A_t=50m^2[/tex]
Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.
Find the value of x in the isosceles triangle shown below.
Answers
Answer:
option A
Step-by-step explanation:
Let x = y + y
Now using Pythagoras theorem :
[tex]15^2 = y^2 + 12^2\\225 = y^2 + 144\\225 - 144 = y^2\\81 = y^2\\9 = y[/tex]
Therefore , x = y + y = 18
Answer:
(x/2)²+12² =15²
(x/2)²+144=225
(x/2)²=225-144
x²/4. =81
x² =81×4
x. =√81×4
x. =9×2
x. =18
answer is option A
Solve the equation to find the value of m and n.
2m + 3n = -5
5m + 3n = 1
Answers
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
Step-by-step explanation:
2m + 3n = -5
5m + 3n = 1
(Multiply each equation by a suitable number so that the two equations have the same leading coefficient)
6m + 9n = -15
15m + 9n = 3
(Subtract the second equation from the first)
15m- 6m = -15-3
-9m= -18
-9m/-9= -18/-9
m= 2
(Solve this new equation for m)
5(2) +3n = 1
10+3n=1
3n=1-10
3n=-9
3n/3 = -9/3
n= -3
(Substitute m = 2 into either Equation 1 or Equation 2 above and solve for n )
find the slope of the line between the following two points (-5,-1), (-1,9)
respond quick please :)
Answers
Answer: The slope of the line is -2
Step-by-step explanation:
We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this
[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]
You are taking a university course with a combined graduate and undergraduate enrollment. You know that there are many more undergraduate than graduate students enrolled in this course. There is a woman who looks to be about thirty sitting next to you. If you use only the base rate to guess her student status, you would guess that she is a(n) __________ student because __________.
Answers
Answer:
She is an undergraduate because more undergraduates are enrolled
Step-by-step explanation:
From the question, we understand that:
Undergraduate > Graduate
This represents the base rate
So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.
The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.
Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Leo make if he had 27.42 lbs of clay left over?
Answers
Answer:
Total number of mug = 14 mugs
Step-by-step explanation:
Given:
Total amount of Clay Leo bought = 50 lbs
Total amount of Clay left = 27.42 lbs
Total amount of Clay used in sculpture = 12.5 lbs
Amount of clay each muh need = 0.72 lbs
Find;
Total number of mug
Computation:
Assume;
Total number of mug = a
So,
Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)
50 = 27.42 + 12.5 + (0.72)(a)
50 = 39.92 + (0.72)(a)
(0.72)(a) = 10.08
a = 14
Total number of mug = 14 mugs
Solve the equation y - 2.7 = -2.0 + 2y
Answers
Answer:
y = -0.7
Step-by-step explanation:
Reorder the terms:
-2.7 + y = -2.0 + 2y
Solving
-2.7 + y = -2.0 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-2.7 + y + -2y = -2.0 + 2y + -2y
Combine like terms: y + -2y = -1y
-2.7 + -1y = -2.0 + 2y + -2y
Combine like terms: 2y + -2y = 0
-2.7 + -1y = -2.0 + 0
-2.7 + -1y = -2.0
Add '2.7' to each side of the equation.
-2.7 + 2.7 + -1y = -2.0 + 2.7
Combine like terms: -2.7 + 2.7 = 0.0
0.0 + -1y = -2.0 + 2.7
-1y = -2.0 + 2.7
Combine like terms: -2.0 + 2.7 = 0.7
-1y = 0.7
Divide each side by '-1'.
y = -0.7
Simplifying
y = -0.7
Question is in the image below
Answers
9514 1404 393
Answer:
A) r = d/t
B) 221,760 ft/h
C) 42 mi/h
D) miles; the number is more comprehensible
Step-by-step explanation:
A) Given d = rt
Divide by the coefficient of r to solve for r.
r = d/t
__
B) Fill in the given numbers to find the rate in ft/h.
r = (665,280 ft)/(3 h) = 221.760 ft/h
__
C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.
(221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h
__
D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.
49×7³×100. -----------------. 10³×3³×7²
Answers
Please mark me brainliest
Simplify this question please im really confused
Answers
Answer:
option A
Step-by-step explanation:
[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]
So,
[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]
Triangle PQR has vertices P(-2, 6), Q(-8, 4) and R(1, -2). It is translated according to the rule (x, y)—> (x, - 2, y -16).
What is the y-value of P’?
a. -18
b. -16
c. -12
d. -10
Answers
===============================================
To find this answer, you apply the given translation rule to the coordinates of point P(-2,6)
[tex](x,y) \to (x-2, y-16)\\\\(-2,6) \to (-2-2, 6-16)\\\\(-2,6) \to (-4, -10)\\\\[/tex]
We see that point P' has a y coordinate of -10
This translation, aka shifting, rule moved point P 2 units to the left and 16 units down.
Answer:last one D ( -10)
Step-by-step explanation:
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