Answer:
x = 4 and x = -3
Step-by-step explanation:
⇒ x² + x = 12
⇒ x² + x - 12 = 0
⇒ x² + 3x - 4x - 12 = 0
⇒ x(x + 3) - 4(x + 3) = 0
⇒ (x - 4)(x + 3) = 0
⇒ x = 4 and x = -3
Hey there!
x^2 + x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + x - 12 = 12 - 12
SIMPLIFY IT!
x^2 + x - 12 = 0
SET the FACTORS to EQUAL to 0
x - 3 = 0 OR x + 4 = 0
SIMPLIFY IT!
x = 3 or x = -4
Therefore, the answer is:
x = 3 or x = -4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
Answer:
x^2 + 5x - 14
Step-by-step explanation:
We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.
Therefore, we can put this into brackets as one bracket must equal 0.
(x - 2) (x + 7)
After this we expand, which is a process easier to search up
The answer is:
x^2 + 7x - 2x - 14
We can simplify this to:
x^2 + 5x - 14
x^2 represents x squared in case you were wondering
Therefore, the answer is:
x^2 + 5x - 14
The following table gives the statements and justifications for solving the equation 4(x - 7) + 14 =
3x - 9.
Which of the following gives the justification steps in the correct order?
Answer:
From top to bottom:
Simplify
Combine like terms
Subtract 3x from both sides
Add 14 on both sides
Step-by-step explanation:
Hope this helps
The sales tax in some places in Texas is 8.25%. Which function
represents the cost of purchasing x dollars of products, including tax?
Taxes usually increase how much you pay from the purchase price. To find the tax charged on the purchase, multiply the tax rate by the purchase.
$28.38 × 0.0825 = $2.34
The tax charged is $2.34
75 points Dilations of Segments and Angles
CD is dilated by a scale factor of 3/4 to form C ′ D ′ . CD measures 2. What is the measure of C ′ D ′ ?
Answer
0.823742
Step-by-step explanation:
just a genius
Please help me please
Find the distance between the following sets of points: a. (2, −4) and (2, 3) b. (−3, −2) and (−3, 0) c. (1, 4) and (−5, 4) d. (−2, 0) and (−3, 0) e. (4, −6) and (4, −2) f. (5, 1) and (1, 1)
Answer:
Step-by-step explanation:
Distance between set of points parallel to x-axis and y-axis.a) (2,-4) and (2 , 3)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -4-3 I = I -7I = 7 units
b) (-3,-2) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I-2 -0 I = I -2 I = 2 units
c) (1,4) and (-5,4)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6
d) (-2,0) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit
e) (4,-6) and (4,-2)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units
f) (5,1) and (1 , 1)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance= I5 - 1 I = I 4 I = 4 units
Convert -4x+2y=16 to slope intercept form simplify your answer
[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8 . If there were 7761 total votes, how many yes votes were there?
Answer:
2,985 yes votes
Step-by-step explanation:
Ratio of yes votes to no votes was 5 to 8, we can write the following equation:
Yes : no : total = 5 : 8 : 13
Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.
Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road for 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
How do you write 415,000 in scientific notation
Answer:
4.15×10⁵
10⁵=100,000
4.15×100,000=415,000
Answer:
4.15 * 10^5.
Step-by-step explanation:
There are 5 digits after the initial digit(4).
So it is:
4.15 * 10^5
May I please get your help with this equation
Answer:
A) u=<9, 7>; v=<8, -2>
B) u+v = <17, 5>
C) 5u-2v = <29, 39>
Step-by-step explanation:
The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.
__
A.The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.
u = <11 -2, 1 -(-6)>
u = <9, 7>
v = <13 -5, 6 -8>
v = <8, -2>
__
B.The sum is the sum of the individual coordinates:
u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>
u +v = <17, 5>
__
C.The weighted sum is the weighted sum of the individual coordinates:
5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>
5u -2v = <29, 39>
_____
Additional comment
Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.
PLEASE HELP ME HOW TO DO THIS
Step-by-step explanation:
Area: Length X width
Perimeter: Add all sides
I need help asap I'm not good at math and this makes no sense
Answer:
Total Volume grain elevator holds - 20357.52
Volume needed for 100-acre field - This is all you need to find. If the volume is more than what the grain elevator can hold than there will need to be a rented one as well. If the volume of the grain is lower than what the grain elevator holds, than that's all you need.
Step-by-step explanation:
You have to find how much volume you would need to hold harvest from a 100-acre field.
Then you have to find how much volume is in the grain elevator.
In order to find the volume of the grain elevator you have to divide it up by the cylinder and the cone.
Cone volume - V=πr^2(h/3)
V=2035.75
Cylinder volume - V=πr^2h
V=18321.77
Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
Use the change of base formula: log base b of y equals log y over log b.
[tex]~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689[/tex]
SOMEONE PLEASE HELP WILL MARK BRAINLIEST
Answer:
73.40°
Given a right angle triangle.
Solve the missing angle using cosine rule.
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
Here given:
adjacent: 2
hypotenuse: 7
angle: x
Solve:
[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]
[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]
[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]
pls help with the question in the picture asap
The measure of DE is triangle ABE is similar to ACD is 9units
Similarity theorem of triangleFor triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.
From the given diagram;
AB/AE = AC/AD
20/15 = 32/15 + DE
Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9
Hence the measure of DE is triangle ABE is similar to ACD is 9units
Learn more on similar triangle here: https://brainly.com/question/2644832
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1. What is the volume of the cone? (Use 3.14 for *)
904.8 cubic feet
226.2 cubic feet
75.4 cubic feet
301.6 cubic feet
Answer:
C) 75.36 cubic feet
Step-by-step explanation:
Volume of a cone: ⅓hπr²
Given:
r (radius) = 3 fth (height) = 8 ftπ ≈ 3.14Substitute the given values to find the volume:
V = (⅓)(8)(3.14)(3)²
V = (⅓)(8)(3.14)(9)
V = (⅓)(226.08)
V = 75.4 ft³ (nearest tenth)
Learn more here:
brainly.com/question/15192876
brainly.com/question/1984638
Hello I really need help with this
Answer:
7
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{AC}{DF} = \frac{AB}{DE}[/tex]35/? = 20/435/? = 5? = 35/5? = 7Answer:
7
Step-by-step explanation:
Given,
△ABC ~ △DEF
( ~ means similar )
To find : missing side length
Similar triangle rule : -
If two triangles are similar, their corresponding sides are similar.
So,
AB ~ DE
BC ~ EF
AC ~ DF
Let the missing side length ( DF ) be " x ".
Note : -
When the corresponding sides are divided, their ratios will be same.
That is,
AB / DE
= 20 / 4
= 5 / 1
= 5 : 1
BC / EF
= 40 / 8
= 5 / 1
= 5 : 1
AC / DF should also be equal to 5 : 1.
AC / DF = 5 : 1
35 / x = 5 / 1
Cross multiply,
x * 5 = 35 * 1
5x = 35
Divide 5 on both sides,
x = 35 / 5
x = 7
Therefore,
the missing side length is 7.
Which sign makes the following statement true? 3.9 _____ 9/10
Answer:
>.
Step-by-step explanation:
3.9 is greater than 9/10 ( = 0.9)
. A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question: What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number. 15% 7% 27% 10%
The probability of correctly guessing at random exactly one correct answer will be 15%. Then the correct option is A.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A five-question multiple-choice quiz has five choices for each answer.
Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question.
Then the probability of correctly guessing at random exactly one correct answer will be
P (X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ⁻ˣ⁾
The probability of success will be 0.5. Then we have
P (X = 1) = ⁵C₁ × p¹ × (1 - p)⁽⁵ ⁻ ¹⁾
P (X = 1) = 0.15625
P (X = 1) = 15.625%
P (X = 1) ≅ 15%
More about the probability link is given below.
https://brainly.com/question/795909
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How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The function g(x) can be rewritten as:
g(x) = (x - h)^3 + k
This means that the function f(x) is shifted right by h units and shifted up by k units.
By comparison:
h = 2 and k = 6
Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
Read more about function transformations at:
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Simplify the equation √-42×√-30
Answer:
-6 [tex]\sqrt{35}[/tex]
Step-by-step explanation:
Answer:
[tex]6\sqrt{35}i[/tex]
Step-by-step explanation:
Jonah bought 4 boxes of donuts that each contained 12 donuts. When he gets to work, he will serve the donuts on 5 plates. If he puts the same number of donuts on each plate, what is the greatest number of donuts he could put on each plate?
Hellppp Im DYING TO KNOW THE ANSWER RNN-
Which choice is equivalent to the expression below? Use the FOIL method.
(√x-2)(√x + 3)
A) x-6
B) x+√x +6
C) x-√x -6
D) x+√x-6
Answer:
D) x + √x - 6.
Step-by-step explanation:
(√x-2)(√x + 3)
= √x*√x + 3*√x - 2*√x - 2*3
= x + √x - 6.
A nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes. What is the probability of the complement of the event? Express your answer as a fraction in simplest form.
The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contains in the bag = 15+10+15 = 40
Total number of nickel = 10
The probability of getting the nickel = 10/40 = 1/4
The complement of the probability:
P' = 1 – 1/4
P' = 3/4
Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
Learn more about the probability here:
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Work out the sheet given
Answer:
red colour is 7...blue is 3 ...green 9...yellow 13...purple 8
what function is represented below?
Answer:
the second i think i dont know for sure
find the x of these multiplication
6) 3x = 27
7) 5x = 35
8) 2x = 24
Hey there!
QUESTION #6.
3x = 27
DIVIDE 3 to BOTH SIDES
3x/3 =27/3
SIMPLIFY IT!
x = 27/3
x = 9
Therefore, the answer should be:
x = 9
QUESTION #7.
5x = 35
DIVIDE 5 to BOTH SIDES
5x/5 = 35/5
SIMPLIFY IT!
x = 35/5
x = 7
Therefore, the answer should be:
x = 7
QUESTION #9.
2x = 24
DIVIDE 2 to BOTH SIDES
2x/2 = 24/2
SIMPLIFY IT!
x = 24/2
x = 12
Therefore, the answer should be:
x = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Harold bought an 8 pound bag of birdseed to use in his bird feeder. How many
ounces is this?
Answer:
Your answer is 128 oz
Step-by-step explanation:
1 Ounce = 0.0625 Pounds
pounds cancel and leave oz.
8 lb * 1 oz / 0.0625 lb = 128 oz
Answer:
128 oz
Step-by-step explanation:
1 lb = 16 oz
8 lb × 16
= 128 oz