Answer:
x = -6 and x = 1
Step-by-step explanation:
Move everything to the left side of the equation by subtracting (-10x + 12)
2x² = -10x + 12
2x² + 10x - 12 = 0
Divide each side by 2:
x² + 5x - 6
Find 2 factors of -6 that add up to 5. These factors are 6 and -1
x² + 5x - 6
(x + 6)(x - 1)
Set this equal to 0 and solve for x
(x + 6)(x - 1)
x + 6 = 0
x = -6
x - 1 = 0
x = 1
So, the solutions to the equation are x = -6 and x = 1
The solutions to the equation 2x² = -10x + 12 are x = -6 and x = 1.
To find the solutions to the quadratic equation 2x² = -10x + 12, we can rearrange the equation into standard quadratic form, which is ax² + bx + c = 0.
First, we move all the terms to one side of the equation:
2x² + 10x - 12 = 0
Next, we can solve this equation by factoring, completing the square, or using the quadratic formula. In this case, we'll use factoring.
Looking at the equation, we notice that all coefficients are even, so we can simplify the equation by dividing both sides by 2:
x² + 5x - 6 = 0
Now, we factor the quadratic expression:
(x + 6)(x - 1) = 0
By setting each factor equal to zero, we can find the solutions:
x + 6 = 0 --> x = -6
x - 1 = 0 --> x = 1
Therefore, the solutions to the equation 2x² = -10x + 12 are x = -6 and x = 1. These values make the equation true when substituted back into the original equation.
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What is the area of ACDE to the nearest whole number?
A) 87 cm
B) 105 cm
C)123 cm
D) 210 cm
Thanks!
Answer: its A
Step-by-step explanation:
-
Which expression is equivalent to 3x+10-x+12
Answer:
Step-by-step explanation:
3x-x+= 2x
10+ 12= 22
Answer - 2x+22
Find the product of 3/5x15
Find the area of the trapezoid given below and type your result in the empty box.
1.5 in
2.9 in
3.3 in
Answer:
in
Answer:
The Answer is 10.395 inches or in
Step-by-step explanation:
A technician can complete a mammogram is 15 minutes. How many mammograms can the technician complete in an 8 hour workday? (8 hours = 480 minutes)
Answer:
78
Step-by-step explanation:
There are 6 fourth-grade students, 8 fifth-grade students, and 10 sixth-grade students on the girls’ soccer team at Truman Elementary School. What is the ratio of all students to fourth-grade students? Use a proportion to solve.
Answer:
Your answer is
Fourth grade student = 25%
Fifth grade= 33.33%
Sixth grade= 41.67%
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Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
8 (7k + 7d +7) for k=5 d=4
Answer:
Answer. 5.0/5. 1.
Step-by-step explanation:
Answer
The answer would be 560
Step-by-step explanation:
8(7x5+7x4+7)
35+28+7
8x70
560
Use the area model to write a fraction equivalent to
1/5
Find the 53rd term of the arithmetic sequence -12,-1,10
Answer:560
Step-by-step explanation:
Answer: 560
Step-by-step explanation:
write 3 x 7 x 7 x 7 x 7 as a index notation
Answer:
7^4 x 3
Step-by-step explanation:
An item has a listed price of 35$ if the sales tax rate is 3% how much is the sales tax in dollars
Answer:
$1.05
Step-by-step explanation:
3% of 35 = 0.03 × 35 = 1.05
50 points! I need help fast! I hope mhanifa helps me! Random answers will be reported
Answer:
Q3. x = 20°, y = 30Q4. x = 30°, y = 4Step-by-step explanation:
Question 3The triangle is equilateral
Sides are equal, internal angles are 60°
The sides
y + 16 = 46y = 30The angles
60° - x = 180° - (80° + 60°)60° - x = 40°x = 60° - 40°x = 20°Question 4The bottom triangle is equilateral, the top triangle is isosceles
Sides
The equal sides of the isosceles triangle are equal with the sides of the equilateral triangle
5y = 20y = 4Angles
x + x = 60° as exterior angle of the isosceles triangle.2x = 60°x = 30°Help me quick I need a good grade
Any Netflix suggestions to watch?
Answer:
stranger things
Step-by-step explanation:
I'll give you 30 points please need help
Answer:
1831.34
Step-by-step explanation:
There are 39 students in the gym, and there are an equal number of students in each class. If three classes are in the gym, how many students are in each dass?
Was Perry’s hypothesis correct? Explain
Answer:
yes he was correct Perry's hypothesis was correct
I have 15 pounds of flour. How many batches of pizza dough can I make from 1 bag of flour?
Answer:
with one pound of pizza dough you can make one large pizza or two 10-inch pizzas.
so 15 Large pizzas or 30 10 in pizzas
Step-by-step explanation:
HELP HELP HELP
5TH GRADE MATH
ILL MARK BRAINLIEST
Answer:
G
Step-by-step explanation:
Hope this helps
The point is on the x-axis and 17 units to the left of the y-axis.
Answer:
02383923892
Step-by-step explanation:
The coordinates values of the point is (- 17, 0).
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x, y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, The point is on the x-axis and 17 units to the left of the y-axis.
Now, the value of y at the y-axis is 0 and the point is 17 units left to it so it should be - 17.
So, the coordinate points are (- 17, 0).
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How many grams are there in 13 kilograms?
Answer:
13000grams are in 13 kilograms
Jared and his six friends put their names in a bag to randomly select a driver for their weekly carpool. What is the probability that Jared will be selected to be the driver for the upcoming week?
1. Sprint PCS offers a monthly cellular phone plan for $39.99. It includes 450 anytime minutes and charges $.45 per minute for additional minutes. a. x represents __________________ (2 points) b. f(x) represents ___________________ (2 points) c. Write out your piecewise function, including the domain.
Answer:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Step-by-step explanation:
Given
Charges: $39.99 for first 450 minutes
Charges: $0.45 for additional minutes
(a): What is x
x represents the total minutes
(b): What is f(x)
f(x) represents the total monthly cellular charges
(c): The piecewise function
For the first 450 minutes, the function is:
[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]
For additional minutes.
In (a), the total minutes is x.
So, we have:
Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)
[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]
[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]
Open bracket
[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]
[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]
Collect Like Terms
[tex]f(x) = 0.45x+39.99 - 202.5[/tex]
[tex]f(x) = 0.45x-162.51[/tex]
The range of the above function is: x > 450.
So, the piecewise function is:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
PLEASE HELP EASY I’ll mark BRAINLIEST
Answer:
A,B,C,D
Step-by-step explanation:
Answer:
Figure B is:
larger
same number of angles
angles with the same measures
same number of sides
What is the quotient and remainder of 55 divided by 4
Answer: 13, remainder : 3
Step-by-step explanation:
The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.
We have to given that,
To find the quotient and remainder of 55 divided by 4.
We can divide it,
⇒ 55 ÷ 4
4 ) 55 ( 13
- 4
-------
15
- 12
---------
3
Hence, We get;
After divide,
Quotient = 13
Remainder = 3
Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.
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Rayna has 5 pounds of ground beef to make hamburgers for a picnic. Each hamburger uses 1/4 pound of ground beef. How many hamburgers can Rayna make?
I need help plz ❤️️️
Answer:
x= 273
Step-by-step explanation:
Answer:
273
Step-by-step explanation:
3549/13=23
(Hope this helps u and u get it correct!)
-AestheticSnowy
help please !!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
20 percent
0.12
HELP PLEASE URGENT TIMED
Answer:
9 with an exponent of negative 15
Step-by-step explanation:
9-¹⁵