Answer:
x=7/10
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+5=12−7x
Step 1: Simplify both sides of the equation.
3x+5=12−7x
3x+5=12+−7x
3x+5=−7x+12
Step 2: Add 7x to both sides.
3x+5+7x=−7x+12+7x
10x+5=12
Step 3: Subtract 5 from both sides.
10x+5−5=12−5
10x=7
Step 4: Divide both sides by 10.
10x10=7/10
x=7/10
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Answer:
3 more square feet.
Step-by-step explanation:
x = The amount Melinda can shovel in 1 minute
y = The amount Paula can shovel in 1 minute
So make two equations:
30(x + y) = 450 x + y = 15 x = 15 - y
20x + 25y = 345 4x + 5y = 69
Plug in:
4(15 - y) + 5y = 69
60 - 4y + 5y = 69
y = 9
x = 6
9 - 6 = 3
Answer:
Answer is A
Step-by-step explanation:
Took it on Edg.
Which recursive formula can be used to represent the sequence
2, 6, 10, 14, 18,... ?
Answer:
We know that a₁ = 2 and that you have to add 4 to the previous term to get the term you are looking for so the answer is:
a₁ = 2
aₙ = aₙ₋₁ + 4
43046721 as a single power of 9
Answer:
[tex]9^8[/tex]
Step-by-step explanation:
[tex]9^8=43046721[/tex]
[tex]ln(9^x)=xln(9)[/tex]
so we search [tex]x=ln(43046721)/ln(9)[/tex]
hope this helps
Answer:
9^8=43046721
Step-by-step explanation:
The exponent 9 of a number is found by multiplying that number by itself 9 times.
What is a reasonable estimate of the rate of change for the interval 300 <= x <= 400?
Answer:
The correct option is;
B. -2
Step-by-step explanation:
From the graph, we have;
At x₁ = 300, y₁ = 800
At x₂ = 400, y₂ = 600
The formula for the slope, m, of a graph is given as follows;
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{600 - 800}{400 - 300}= \dfrac{-200}{100} = -2[/tex]
Therefore, a reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400 is -2 which is a negative slope as expected as the y-coordinate values, which is the value of the function, decreases while the x-coordinate values which is the independent variable increases as we go from 300 ≤ x ≤ 400.
Lim x-> n/2 (2e^x cos x)
Answer:
A
Step-by-Step Explanation:
We want to find the limit:
[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}[/tex]
Use direct substitution.
Hence:
[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})[/tex]
Recall the unit circle. cos(π/2) is simply 0. Hence:
[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0[/tex]
Therefore:
[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0[/tex]
So, our answer is A.
The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False
Answer:
true it's A....
Answer:
A
Step-by-step explanation:
64x³ + 125
∛(64x³ + 125)
= 4x + 5
The expression is a sum of cubes.
Really need help :( struggling
Answer:
B
Step-by-step explanation:
The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.
PLEASE SOMEONE HELP ! X
Answer:
When x=-3 , y= -16
when x=-2 , y= -10
when x=-1 , y= -6
when x=0 , y=-4
when x=1 y=-2
when x=2, y= 2
when x= 3, y= 8
Step-by-step explanation:
Equation: y= x^2+x-4
All you have to do is plug in the values of x given in the table inorder to find the y values.
Answer:
When x=-3 , y= -16
when x=-2 , y= -10
when x=-1 , y= -6
when x=0 , y=-4
when x=1 y=-2
when x=2, y= 2
when x= 3, y= 8
Just plug in each x value to the equation
N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function
Answer:
Step-by-step explanation:
Joel rides his bicycle 250m towards north to meet his friend Jim. From there he bicycles 450m south along the same road. What integer will represent his final position from his house?
Answer:
He is 200 meters south of his house.
Step-by-step explanation:
Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.
Please help ! I don’t understand:((
Answer:
B
Step-by-step explanation:
sorry if im wrong but i used desmos next time its graphing use desmos
The polynomial 6x2 + x - 15 has a factor of 2x - 3. What is the other factor?
Answer:
I hope this is helpful (2x-3)(3x+5)
Step-by-step explanation:
(2x-3)(3x+5)
6x2-9x+10x-15
6x2+x-15
Answer:
your answer is 3x+5
Step-by-step explanation:
on edge 2021
!! 25 points !! Find x. Do not round your answer.
Answer:
12
Step-by-step explanation:
X=12
Because chords are the same size
Answer:16.6 is the correct answer.
Step-by-step explanation:
what is the answer of this attachment:
Answer:
(B) 2
Step-by-step explanation:
=> [tex]\frac{\sqrt{32}+ \sqrt{48} }{\sqrt{8}+\sqrt{12} }[/tex]
=> [tex]\frac{4\sqrt{2}+4\sqrt{3} }{2\sqrt{2}+2\sqrt{3} }[/tex]
=> [tex]\frac{4(\sqrt{2}+\sqrt{3}) }{2(\sqrt{2}+\sqrt{3)} }[/tex]
Cancelling [tex]\sqrt{2}+\sqrt{3}[/tex]
=> [tex]\frac{4}{2}[/tex]
=> 2
9p + 8 Math fraction
Answer:
17p
Step-by-step explanation:
9p+8p=17p
What is the center of a circle represented by the equation (x+9Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.
x2 + y2 + 6x + 4y – 3 = 0
x2 + 6x + y2 + 4y – 3 = 0
(x2 + 6x) + (y2 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4)2+(y−6)2=102?
Answer:
The center of the circle is at the point (-3, -2) on the plane
Step-by-step explanation:
The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:
[tex](x^2+6\,x+9)+(y^2+4\,y+4)=3+9+4\\(x+3)^2+(y+2)^2=16\\(x+3)^2+(y+2)^2=4^2[/tex]
Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.
Solve for x h(x)=−7x ; h(x)=63
Answer:
x = -9
Step-by-step explanation:
-7x = 63
Divide -7 into both sides.
-7x/-7 = 63/-7
x = 63/-7
x = -9
Put x as -9 in the function to check.
h(x) = -7x
h(-9) = -7(-9)
h(-9) = 63
Answer:
x = -9
Step-by-step explanation:
h(x)=−7x ; h(x)=63
Set the two equal
-7x = 63
Divide by -7
-7x/-7 = 63/-7
x = -9
What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.
The distance between points (1, 2) and (x 1 ,y 1 ) is the square root of (x 1 -1)^ 2 +(y 1 -2)^ 2
Answer:
True
Step-by-step explanation:
The distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].
The given points are (1, 2) and [tex](x_{1} , y_{1})[/tex] .
We to find the distance between the given points.
What is the formula to find the distance between points?The formula to find the distance between points is [tex]\sqrt{(x_{1}-x_{2} )^{2}-(y_{1}-y_{2} )^{2} }[/tex].
Now, [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex]
Therefore, the distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].
To learn more about the distance between the points visit:
https://brainly.com/question/15958176.
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The height of a triangle is 3 feet greater than the base. The area of the triangle is 54 square feet. Find the length of the base and the height of the triangle
Answer:
Step-by-step explanation:
The length of the base is 3 feet and the height of the triangle is 6 feet.
What is the area of a triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
Given that the height of a triangle is 3 feet greater than the base. The area of the triangle is 54 square feet.
The dimensions of the triangle will be calculated as,
A = (1/2) x b x h
A = (1/2) x b x ( b + 3 )
54 = ( 1 / 2 ) x ( b² + 3b )
108 = ( b² + 3b )
( b² + 3b - 108) = 0
( b² + 12b -3b -108 ) = 0
(b - 3 ) ( b+ 12 ) = 0
b = 3 and b = -12 ignore negative value.
The height will be calculated as,
h = b + 3
h = 3 + 3
h = 6 feet
Therefore, the length of the base is 3 feet and the height of the triangle is 6 feet.
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The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold. The break-even point occurs when the cost function equals the revenue function. 550 + 3.00x = 5.50x Naturally Made needs to sell products to break even. The cost or revenue when it sells the break-even number of products will be $
Answer:
220 products need to be sold to break it even.
Step-by-step explanation:
550 + 3.00x = 5.50x
550 = 2.50x
220 = x
Calculate the volume in litres of the cuboid shown above
Answer:
0.06 l
Step-by-step explanation:
Volume of cube = 3 x 4 x 5 = 60 cm cubed.
1 cm cubed = 0.001 liters
So 60 cm cubed = 0.06 liters.
Hope this helps
find a quadratic polynomial whose sum and and product is -7 and -2
Answer:
x²+7x-2 = 0Step-by-step explanation:
The general form of a quadratic equation with roots a and b is expressed as shown;
x²-(sum of root) x + (product of roots) = 0
x² - (a+b)x + ab = 0 ... 1
Given the sum of roots a+b = -7
Product of roots ab = -2
Substituting this values in equation 1 above wil give;
x²-(-7)x+(-2) = 0
x²+7x-2 = 0
The resulting quadratic polynomial is x²+7x-2 = 0
HELP I'M BEING TIMED A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? A) The test contains 4 three-point questions and 20 five-point questions. B) The test contains 10 three-point questions and 14 five-point questions. C) The test contains 14 three-point questions and 10 five-point questions. D) The test contains 20 three-point questions and 8 five-point questions.
Answer:
b)
Step-by-step explanation:
the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions
Hi, can I get some help with this question? DON'T WORRY ITS JUST A ASSIGNMENT. NOT A TEST. Thank you
Answer:
d.
Step-by-step explanation:
i looked at the graph!
Britney just got a new video game for her birthday. Yesterday, she played for 27 minutes and beat 3 levels. Today, her parents said she can play for 45 minutes. If she beats levels at the same rate, how many levels should Britney beat today?
Answer:
The answer is 5
Step-by-step explanation:
hope this helped you
Today Britney beat 5 levels of a video game if she played at the same playing proportion with time as yesterday.
What is proportion of doing work?proportion or rate of work done is the ratio of the total work done in a given time divided by the given time. It is the measure of the proportion of doing work per unit time.
proportion of work done = Total work done / Given time
Yesterday ,Britney played 3 levels in time 27 minutes
Work done(levels cleared) = 3 levels
Time taken = 27 minutes
Yesterday the proportion or rate of playing game = 3 levels / 27 minutes = ( 1/ 9) levels/ min
Today, Britney is allowed to play for 45 minutes at the same proportion rate she played yesterday
Then, the work done or level beat today = rate of playing game × time
= (1/9)×45 = 5 games
Therefore, Britney cleared 5 games today if she played at same rate as she did yesterday
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Order The numbers from least to greatest
0.453, 0.35, 4/5
Answer:
Step-by-step explanation:
0.35
0.453
4/5
IWhat is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
5/2
Step-by-step explanation:
You slope is always mx
In point-slope form, your mx is just in factored form. All you need to do is distribute to find m.
Which shape is an equivalent fraction to this fraction? 3/4
10/14
7/8
6/8
4/7
Answer:
6/8
Step-by-step explanation:
3/4
Multiply by 2/2
3/4 *2/2 = 6/8
which words have vertical symmetry for all of the letters in the word?
Answer:
palindromes
Step-by-step explanation:
palindromes are spelled the same forward and backward, thus have vertical symmetry.