Answer:
x = 18Step-by-step explanation:
4x - 7 = 7x - 61
Subtract 7x from both sides
That's
4x - 7x - 7 = 7x - 7x - 61
- 3x - 7 = - 61
Add 7 to both sides
We have
- 3x + 7 - 7 = - 61 + 7
- 3x = - 54
Divide both sides by - 3
That's
[tex] \frac{ - 3x}{ - 3} = \frac{ - 54}{ - 3} [/tex]We have the final answer as
x = 18Hope this helps you
Answer: 18
Step-by-step explanation:
4x - 7 = 7x - 61
+61 +61
4x + 54 = 7x
divide both sides by 4
x + 27/2 = 7/4x
-x -x
27/2 = 3/4x
divide both sides by 3/4
x = 18
solve the system
4x + 2y = 10
x = y + 13
Answer:
[tex]x = 6[/tex]
[tex]y = -7[/tex]
Step-by-step explanation:
We have the system of equations:
[tex]4x+2y=10\\x=y+13[/tex]
Let's solve by substituting. We know that [tex]x=y+13[/tex], so we can substitute [tex]y+13[/tex] in as [tex]x[/tex] in the equation [tex]4x+2y=10[/tex].
[tex]4(y+13) + 2y = 10[/tex]
Simplify this down so that we have [tex]y[/tex] on one side of the equation:
[tex]4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7[/tex]
Now that we know the value of [tex]y[/tex], we can substitute it in to the equation [tex]x = y+13[/tex] to find [tex]x[/tex].
[tex]x = -7+13\\\\x = 6[/tex]
Hope this helped!
Answer: (6,-7)
Step-by-step explanation:
4x +2y = 10
x = y + 13 Substitute the value of x into the first equation to solve for y.
4(y + 13) +2y = 10 apply the distributive property on the left side
4y + 52 + 2y = 10 Combine like terms on the left side
6y + 52 = 10 Subtract 52 from both sides
-52 -52
6y = -42
y= -7
The value of y so input it into one of the equations to solve for x
4x + 2(-7) = 10
4x - 14 = 10
+14 +14
4x = 24
x= 6
What is the demical equivalent to the rational number 1/8
Answer:
the decimal equivalent is 0.125
Answer:0.8
Step-by-step explanation:take it and decimmalize it
what is significance of the generally lower rate at which people save for retirement
Answer: 25 or 30-60
Step-by-step explanation:
Vote me for branliest Have a great day or night everyone!!!
find the perimeter and area of this figure.
Hey there! I'm happy to help!
AREA
To find the area of a parallelogram, you multiply the base by the height.
12(6)=72
The area is 72 square centimeters.
PERIMETER
The two diagonal sides are 8 cm and the two bases are 12 cm.
8+8+12+12=40
The perimeter is 40 cm.
Have a wonderful day! :D
y – 3 = 2(x + 1)
Help...
A student is given a quadratic equation in vertex form. He determines the vertex and axis of symmetry, and then sketches the parabola so that it is symmetrical about the axis of symmetry. Is this sufficient? Explain.
Answer:
The information with which the parabola is constructed is insufficient
Step-by-step explanation:
The vertex form of a quadratic equation is given as follows;
f(x) = a(x - h)² + k
The steps to draw the graph of a quadratic function given in vertex form, we are required to do the following;
1) Definition of the variables, (a, h and k) of the quadratic equation (given in vertex form)
The vertex of the quadratic equation in vertex form is (h, k)
2) Given that the vertex point is given, the vertex point is then plotted on the graph
3) Draw the parabola axis of symmetry that passes through the vertex point
4) Determine the direction to which the parabola opens from the sign of the variable a as follows;
i) When a is positive, the parabola opens upwards
ii) When a is negative, the parabola opens downwards
5) Determine if the parabola has x-intercepts and plot them
A parabola has x intercepts when;
i) The parabola opens downwards, that is, the variable, a, is negative and also the vertex (h, k) is above the x-axis or k is positive
ii) The parabola opens upwards, that is, the variable, a, is positive and also the vertex (h, k) is below the x-axis or k is negative
6) Determine y-intercepts and plot them as follows;
At the y-intercept, x = 0, therefore;
f(x) = a(x - h)² + k
f(0) = a(0 - h)² + k = a·h² + k
6) If any additional points are required, they should plotted and then the graph of the function is then drawn making sure to be symmetrical about the vertex and to pass through all the plotted points.
Find the median and mean of the data set below: 35 , 28 , 19 , 18
Answer:
Hi there!
Your answer is:
Median: 23.5
Mean: 25
Step-by-step explanation:
The mean is the average of all the numbers in your dataset. You determine this by adding all the numbers together and dividing by the # of numbers in your set!
35+28+19+18 = 100.
100/4 = 25
The median is the middle number of your data set! This is determined by counting off the numbers from each side of the equation after setting them in order from least to greatest. If there are 2 remaining, you must find the average of those!
35 , 28, 19 , 18 from least to greatest is
18, 19, 28, 35
/. /
Now find the average of 19 and 28!
19+28 = 47
47/2 = 23.5
Answer:
Step-by-step explanation:
Find the median and mean of the data set below:29,39,28,5029,39,28,50
What are the vertex and x-intercepts of the graph of the function given below?
y = x2 - 2x-35
A. Vertex: (1, -36); intercepts: x = 7,-5
B. Vertex: (0,0); intercepts: x= -4,-5
C. Vertex: (7,5); intercepts: x = 7,8
D. Vertex: (1, -25); intercepts: x = 6,-4
Answer:the answer is A
Step-by-step explanation:
The vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The x-coordinate of the vertex can be found using the formula x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = 1 and b = -2, so x = -(-2)/(2×1) = 1.
Lets find the y-coordinate of the vertex.
To find the y-coordinate of the vertex, we substitute the x-coordinate we found in step 1 into the equation and evaluate.
y = (1)² - 2(1) - 35 = -36
So the vertex is at (1, -36).
Now find the x-intercepts.
To find the x-intercepts, we set y = 0 and solve for x.
0 = x² - 2x - 35
This equation can be factored as (x - 7)(x + 5) = 0.
So the x-intercepts are at x = 7 and x = -5.
Therefore, the vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ7
HELPP!!! 10 POINTS OFFERED
Answer:
Option 1
Step-by-step explanation:
look at the graph in bot cases y still positive in the upper part of the graph
only x moves from the right side to left side of the graph
Take one point A (2,2) to A'(-2,2)
from 2 to -2 (x-4=2-4=-2)
from 2 to 2 ( y still the same)
18=5a-2a+3
answer this pleaseee
Answer:
a=5
Step-by-step explanation:
18=5a-2a+3
Combine like terms
18 = 3a +3
Subtract 3 from each side
18-3 = 3a+3-3
15 = 3a
Divide by 3
15/3 =3a/3
5 =a
Evaluate 3 - 24 + 8 + 42.
A.0
B.2
C.16
D.24
3 - 24 + 8 + 42
= (3 - 24) + 8 + 42
= (-21 + 8) + 42
= -13 + 42
= 29
How do I determine the 50th term for the sequence
-5, -1, 3, 7, 11
Help someone please !!!!!!!!!!!!!!!!!!!!!!! The temperature one winter morning is -12 degrees fahrenheit,by noon,the temperatures rises by 5 degrees,and by 4p.m,the temperatures is 0 degrees. By how many degrees does the temperatures rise between noon and 4p.m., in degrees fahrenheit??
Answer:
The temperature rises 7 degrees between noon and 4pm.
Step-by-step explanation:
First, you add 5 to the -12. This gets you to the answer of 7. Then, since the temp. rises to 0 degrees by 4, you know that the difference between noon and 4 pm is 7 degrees.
When p2 – 4p is subtracted from p2 + p – 6, the result is . To get p – 9, subtract from this result.
Answer:
When p2 – 4p is subtracted from p2 + p – 6, the result is:
p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6
To get p – 9, subtract from this result x:
5p-6-x=p-9
Solving for x:
5p-6-x+x-p+9=p-9+x-p+9
4p+3=x
x=4p+3
Answer:
1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6
2) To get p – 9, subtract from this result 4p+3
Step-by-step explanation:
Answer:
PLATO
Step-by-step explanation:
Does the point (2, 0) satisfy the equation y = x?
Answer:
no
Step-by-step explanation:
y = x
Substitute the point into the equation
0=2
This is not true so the point is not a solution
Hey there! I'm happy to help!
The point (2,0) does not satisfy the equation y=x. That means that x and y have to be equal. 2 and 0 are not equal. A point like (4,4) would satisfy that.
Have a wonderful day! :D
Which parallelogram has an area of 60 square units?
Answer:
The answer is B
Step-by-step explanation:
Multiply base•height
Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units.
---------------------------
Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:
[tex]A = hb[/tex]
---------------------------
In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of [tex]15 \times 10 = 150[/tex].In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of [tex]6 \times 10.2 = 61.2[/tex].In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of [tex]15 \times 15 = 225[/tex].In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of [tex]10 \times 6 = 60[/tex], which means that this is the correct option.A similar problem is given at https://brainly.com/question/14099239
can someone help with this ASAP
Answer:
105 degrees
Step-by-step explanation:
Identify the percent of change as an increase or decrease.
Original: 70
New: 60
Increase? Or
Decrease?
Answer:
Decrease
Step-by-step explanation:
Number has gone down, therefore it's a decrease.
Dan needs to get to Austin as fast as possible. The train leaves at 3:00 PM and can travel 60 Miles per hour. If Austin is 65 Miles away, How long will it take Dan to get there?
I need help with this question
Answer:
10 dollars a month
Step-by-step explanation:
3 between 5 equal 10 dollars
Simplify -4l-5l - [2(-17)]
A. 14
B. 54
C. -14
Answer:
14
Step-by-step explanation:
-4 |-5| = -20
-2(-17) = 34
34-20 = 14
If anyone can help it would be greatly appreciated. I will give you 20 extra points for free! Or venmo you $10 :)
Answer:
15) 1/3
18) 1/2
21) 25/26
Step-by-step explanation:
15) 2/6=1/3
18) 3/6=1/2
21) 25/26
The midpoint of PQ is M(1, 4). One endpoint is P(2, 8). Find the coordinates of the other endpoint Q. Write the coordinates as decimals or integers.
Answer:
Step-by-step explanation:
(x+2)/2 = 1
x + 2 = 2
x = 0
(y + 8)/2 = 4
y + 8 = 8
y = 0
(0, 0)
a thirty-year-old woman decides to pay $390 for one year life insurance policy with coverage of 150000. the probability of her living through the year is 0.9976. what is her expected value for the insurance policy
Answer:
5
Step-by-step explanation:
The expected value is −390(0.9976) + (150,000 − 390)( 1 − 0.9976) = −$30
-$30. This was the right answer on Brainly.
Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5
Answer:
The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].
Step-by-step explanation:
We know that the slope-intercept form of the equation of the line is represented by:
[tex]y = m\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
From statement we find that [tex]m =-\frac{3}{5}[/tex]. If [tex]x = -5[/tex] and [tex]y = -1[/tex], the value of the y-intercept is:
[tex]-1 =-\frac{3}{5}\cdot (-5)+b[/tex]
[tex]-1 = 3 + b[/tex]
[tex]b = -4[/tex]
The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].
If HJ = 7x-27, find the value of x.
Answer:
9 over 2
Step-by-step explanation:
9 over 2 in fraction
Name a equivalent ratio for 2/4 with denominator 24
Answer:
12
Step-by-step explanation:
Answer:
12/24
Step-by-step explanation:
The perimeter of a rectangular tabletop is 384 cm. It's width is 3/5 of its length. Find the dimensions of the tabletop
Answer:
Length: 120cm, Width: 72cm
Step-by-step explanation:
Let x = length
Let 3x/5 = width
2x+2(3x/5)=384
2x+(6x/5)=384
16x/5=384
16x=1920
x=120cm
Substitute 120 for x in width
360/5 = width
width = 72cm
Point F is the midpoint of segment DE. DF = 2x+6 and DE = 2x+36. Find DE.
Answer: It already tells you what DE= 60
Step-by-step explanation:
Since F is the midpoint of DE that means DF=FE
So create equation [tex]2x+6+2x+6=4x+12[/tex]
When DF and FE is added your answer should equal DE
So you write the equation [tex]4x+12=2x+36[/tex] to find x and once x is found substitute your answer for x
[tex]4x+12(-12)=2x+36(-12)[/tex] subtract 12 on both sides 36-12= 24
[tex]4x=2x+24[/tex] subtract 2x on both sides 4x-2x=2x
[tex]2x=24[/tex] divide 2 into both sides 24/2=12 x=12
[tex]4(12)+12=2(12)+36[/tex]
4x12=48+12=60 2x12=24+36=60
A 3-column table with 4 rows. The first column is labeled Currency and entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D/1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053. Which expression can be used to convert 100 USD to Japanese yen?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:) edge 2023
