Answer:
-12g+32
Simplify and combine like terms.
y(2.5+7)+y-2
10.5y-2
which statement best explains why the expressions are equivalent
a the expressions have the same value for any value of y
b the expressions have the same value for only whole number values of y
c the expressions have the same value only when y is an odd number.
d the expressions have the same value only when y is an even number.
Using the equivalence concept, it is found that the correct option is given by:
a the expressions have the same value for any value of y.
What are equivalent expressions?Two expressions are said to be equivalent if for the same input, they have the same value.
In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.
More can be learned about equivalent expressions at https://brainly.com/question/2972832
Which equation has a graph that is a parabola with a vertex at (–2, 0)?
y = –2x2
y = (x + 2)2
y = (x – 2)2
y = x2 – 2
Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:
y = (x + 2)²
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:
y = (x + 2)²
More can be learned about the equation of a parabola at https://brainly.com/question/17987697
Answer:
B. y = (x + 2)2Find the slope of the line that passes through the following points. (-3,0) (3, 2)
Answer:
slope: 1/3
Explanation:
[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex] where (x1, y1), (x2, y2)
Solve for slope:
insert values
[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]
remove brackets
[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{2}{6}[/tex]
final answer
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer:
the slope of the line passing through (-3,0) (3,2) is 1/3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13
Hunter has a collection of 140 coins. How many coins represent 5% of his collection? Divide/scale down to solve for the missing percent.
Answer:
5% of his coins is 7
Step-by-step explanation:
140 X 0.05 = 7
State if the two triangles are congruent. If they are, state how you know.
options:
Yes, by SAS
Yes, by SSA
Yes, by AAS
No, not enough information
Answer:
its SAS because u can look at the triangle by the sides and angle
Step-by-step explanation: mark brainliset
Under his cell phone plan, Oliver pays a flat cost of $45 per month and $3 per gigabyte. He wants to keep his bill under $60 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget
Answer: g < 5
5 is the amount of gigabytes
Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:
3g + 45 ≤ 60.
where,
"g" represents the number of gigabytes used.
$3 is the cost per gigabyte.
$45 is the flat monthly cost.
$60 is the maximum budget.
Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.
He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.
The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.
Hence, the inequality is 3g + 45 ≤ 60.
Now, solve for g:
45 + 3g ≤ 60
Subtract 45 from both sides:
3g ≤ 15
Divide both sides by 3:
g ≤ 5
So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
To learn more on inequality click:
https://brainly.com/question/28841069
#SPJ3
what is the equation of line a
Step-by-step explanation:
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.
John works at Klein’s Dry Cleaning. He earns $8. 45 per hour. If John worked 39 hours this week, what is his pay? *
Answer:
330.05
Step-by-step explanation:
because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05
I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.
#b
[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]
[tex]\\ \rm\rightarrowtail b=21tan47[/tex]
[tex]\\ \rm\rightarrowtail b=22.5[/tex]
#c
[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]
[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]
[tex]\\ \rm\rightarrowtail c=30.88[/tex]
Answer:
c = 30.8 (nearest tenth)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 21b = 22.5Substitute given values into the formula and solve for c:
⇒ 21² + 22.5² = c²
⇒ 947.25 = c²
⇒ c = ±√(947.25)
⇒ c = ±30.8 (nearest tenth)
As distance is positive, c = 30.8 (nearest tenth) only
answer this correctly for brainiest
12x−3<−138
Answer:
x<-11.25
Step-by-step explanation:
you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.
Answer:
x < -45/4 or it can be written as ( -infinity, -45/4 )
Step-by-step explanation:
12x - 3 < -138
12x < -135
x < -45/4
or x < -11.25
Help please I’ll give you 45 points
Answer:
63 square inches
Step-by-step explanation:
You already have the polgygon divided into two rectangles, so we will use them.
The top rectangle has the dimensions of 5 and 9.
The bottom rectangle has the dimensions of 6 and 3.
To find the area of a rectangle:
area = length x width
A = lw
The area of the top rectangle:
A = 5 x 9
A = 45 square inches
The area of the bottom rectangle:
A = 6 x 3
A = 18 square inches
To find the total area, add the two areas together.
45 + 18 = 63 square inches
Write an algebraic expression in simplest form for the perimeter of a rectangle with side lengths (-3x + 1) and(2x - 5). Remember Perimeter = the sum of all sides. Rectangle has four sides.
Please I really need help
Answer:
Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)
Given:
width = (-3x + 1)length = (2x - 5)⇒ perimeter = 2(-3x + 1) + 2(2x - 5)
= -6x + 2 + 4x - 10
= -2x - 8
Question 22 (2 points)
Which object listed below has the greatest momentum?
A 0.05 kg object rolling at 0.2 m/s.
B 0.15 kg object rolling at 1 m/s
C 0.15 kg object rolling at 2 m/s.
D 0.4 kg object rolling at 2 m/s.
Answer:
D.
Step-by-step explanation:
Momentum(p) is Mass(m) times Velocity(v) or p = mv
The results of the calculations are attached. 0.4 kg at 2 m/s has the most momentum: 0.8 kg*m/s
Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)
Here is how it is graphed:
what is the surface area of the cylinder
Answer:
The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.
Step-by-step explanation:
HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.
2x − 3.5 ≥ 10.5
2x − 3.5 − 3.5 ≥ 10.5 − 3.5
2x ≥ 7
2x ≥ 7(2)
x ≥ 14
- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality
Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.
Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]
When sally went bowling her scores were 108,72, and 95 what score will she need to get an average of 91? PLS HELP!
1). Determine which law you would use to find each missing side or angle.
2). Then find it.
Answer:
(a) the law of cosines
(b) approximately 6
Step-by-step explanation:
Check out the attached photo.
find x for -3+x=2(x+3)
Answer:
x = -9
Step-by-step explanation:
find x for -3 + x = 2 (x+3)
-3 + x = 2 (x + 3) <== distribute
-3 + x = 2x + 6 <== subtract 1x from both sides
-x -x
-3 = x + 6 <== subtract 6 from both sides
-6 -6
-9 = x or x = -9
Hope this helps!
Given Equation :
[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]
Solution :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]
Using Distributive property for the right side we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2x+ 6 }}} \\ \\[/tex]
Now, subtracting 2x from both sides we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x - 2x =2x - 2x + 6 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3- x = 6 }}} \\ \\[/tex]
Now, Adding 3 to both sides we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3 + 3- x = 6 + 3 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad- \: x = 9 }}} \\ \\[/tex]
Now, Multiplying both sides by (-1) we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (- 1)(- x) = ( - 1)9 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - 6 }}} \\ \\[/tex]
Therefore,
The value of x is (-9) .Stella is creating a volcano in the shape of a cone for her science project. The height of the volcano is 12 inches and the radius of the base is 5 inches.
What is the slant height?
Answer: V≈314.16
Step-by-step explanation:
V=πr2h
3=π·52·12
3≈314.15927
S = 4LW + 2WH; S = 184, L = 9, W = 4.
Step-by-step explanation:
S=4LW+2WH
160=4(9)(4)+2(4)H
160 = 144 + 8H
160- 144 = 144 - 144+8H
16 =8H
16/8H = 8H/8
H=2
The table below shows the number of people that attended a family reunion each year. (Need help ASAP)
The table of attendees in the family reunion is a linear regression
The equation of the line of best fit is y = 4.9x + 112186 attendees are expected in the 15th yearHow to draw the scatter plot?To do this, we represent the years on the x-axis and the attendees on the y-axis
See attachment for the scatter plot
The equation of the line of best fit?The scatter plot passes through the points
(0, 112) and (5, 136.5)
Start by calculating the slope, m using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (136.5 - 112)/(5 - 0)
m = 4.9
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 4.9 * (x - 0) + 112
y = 4.9x + 112
Hence, the equation of the line of best fit is y = 4.9x + 112
The attendees in the 15th yearThis means that x = 15.
So, we have:
y = 4.9 * 15 + 112
Evaluate
y = 186
Hence, 186 attendees are expected in the 15th year
Read more about regression at:
https://brainly.com/question/4341286
Find the value of x.
x
35
15
4. The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
1. 6
2. 8
3. 7
4. 9
Answer:
7 The answer is no. 3 because it is more than the others
With the equation of the circle that has a center at the origin and passes through the point (1-6),
Answer:
[tex]\sf x^2+y^2=37[/tex]
Step-by-step explanation:
Equation of a circle: [tex]\sf(x-h)^2+(y-k)^2=r^2[/tex]
where (h, k) is the center and r is the radius
Given the center is at (0, 0)
[tex]\sf \implies (x-0)^2+(y-0)^2=r^2[/tex]
[tex]\sf \implies x^2+y^2=r^2[/tex]
Given the circle passes through point (1, -6):
[tex]\sf \implies (1)^2+(-6)^2=r^2[/tex]
[tex]\sf \implies r^2=37[/tex]
Therefore, the equation of the circle is:
[tex]\sf \implies x^2+y^2=37[/tex]
Equation of a circle passing through origin
x²+y²=r²So
As (1,-6) lies on circle it will satisfy
1²+(-6)²=r^21+36=r²r²=37Now
equation of the circle
x²+y²=37Please help, I need it soon.
What is the great number to start on 3x+1?
Answer: 0
Step-by-step explanation:
0 generally is our starting number since it's our y intercept on the graph, so it's most likely a point where you can start graphing.
1.what is the measure in degrees of angle x.
2.what is the measure in degrees of angle y
Show your work
⠀
1. Here,
⠀
[tex] \sf \longrightarrow x + 45^\circ = 180^\circ [/tex] ( Linear pair of angles measure upto 180° )
⠀
Thus,
⠀
[tex] \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ [/tex]
⠀
Now, for y,
⠀
[tex] \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star [/tex] ( Vertically Opposite Angles)
⠀
[tex] \underline{\rule{230pt}{2pt}} [/tex]
⠀
find the range of the given data 8,9,7,11,18,13
Answer:
range = 11
Step-by-step explanation:
the range is the difference between the largest and smallest value in the data set.
largest value = 18 , smallest value = 7 , then
range = 18 - 7 = 11
11 is the range of the data 8,9,7,11,18,13
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data is 8,9,7,11,18,13
Eight comma nine comma seven comma eleven comma eighteen comma thirteen.
The range in statistics for a given data set is the difference between the highest and lowest values.
Largest value is 18
Lowest value is 7
Range=Largest value-Lowest value
=18-7
=11
Hence, 11 is the range of the data 8,9,7,11,18,13
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ2
find the value of X to the nearest tenth
Answer:
x = 22.6 degrees
Step-by-step explanation:
The triangle is a right triangle which means that you can use trigonometry to find the values for each angle.
cos(x) = opposite / hypotenouse.
So cos(x) = 12/13.
You can then solve using a calculator and find that the angle is 22.6 degrees.
