Consider the quadratic equation below.
-2x^2 - 11x + 7 = 10 + 4x
Determine the correct set-up for solving the equation using the quadratic formula. 50 POINTS PLS HELP
Answers
Hope It Helps
Answer:
[tex]x=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(-2)(-3)} }{2(-2)}[/tex]
Step-by-step explanation:
Given equation: [tex]-2x^2 - 11x + 7 = 10 + 4x[/tex]
First, rearrange the equation so that it is in the general form of [tex]ax^2+bx+c=0[/tex]
[tex]-2x^2 - 11x + 7 = 10 + 4x[/tex]
Subtract 4x from both sides:
[tex]-2x^2 - 15x + 7 = 10[/tex]
Subtract 10 from both sides:
[tex]-2x^2 - 15x - 3 = 0[/tex]
Therefore,
[tex]a=-2[/tex][tex]b=-15[/tex][tex]c=-3[/tex]Input these values into the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Therefore,
[tex]x=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(-2)(-3)} }{2(-2)}[/tex]
Related Questions
Please help i need to complete this by tomorrow
Answers
Answer:
ED: 6.5 cm BE = 14.4 cm
Step-by-step explanation:
Add 20 and 5 to get side AC.
25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.
Multiply 26 by the SF to get AD.
Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)
To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.
Using that number, multiply it with 18 to get BE.
The answer should be 14.4 cm.
This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.
Answer:
ED = 6.5 cm , BE = 14.4 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar ( by the AA postulate ) then the ratios of corresponding sides are in proportion, that is
(a)
[tex]\frac{AD}{AE}[/tex] = [tex]\frac{AC}{AB}[/tex] ( substitute values )
[tex]\frac{AD}{26}[/tex] = [tex]\frac{25}{20}[/tex] ( cross- multiply )
20 AD = 650 ( divide both sides by 20 )
AD = 32.5
Then
ED = AD - AE = 32.5 - 26 = 6.5 cm
(b)
[tex]\frac{BE}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )
[tex]\frac{BE}{18}[/tex] = [tex]\frac{20}{25}[/tex] ( cross- multiply )
25 BE = 360 ( divide both sides by 25 )
BE = 14.4 cm
Help me please help
Answers
Answer:
165°
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i do not what the answer for this Luca is mountain climbing with Tommy and has just climbed a 16-meter vertical rock face. Tommy is standing at the bottom of the cliff, looking up at Luca. If Tommy is 20 meters away from Luca, how far away from the cliff is Tommy standing?
Answers
Answer:
Plug in a = x, b = 16, c = 20
Step-by-step explanation:
which type of transformation maps triangle GFH onto triangle G'F'H'
translation
reflection
rotation
dilation
Answers
Answer:
ROTATION IS THE CORRECT ANSWER!
Step-by-step explanation:
Cuz
Answer:
rotation is correct! :))
Step-by-step explanation:
bc when i clicked rotation, the answer was valid and correct.
Evaluate y = 3x, when x = -4.
A
y = -12
y = 1/81
y = -81
Answers
Answer:
y = -12
Step-by-step explanation:
Plug the value of x (-4) into the original equation and solve:
y = 3(-4)
y = -12
Which of the following is the function f(x) if F"(x) = { +3?
A. f(x) = 8(x-3)
B. f(x) = 8(x + 3)
C. f(x) = 8x+3
D. f(x) = 8x-3
Answers
Answer:
C C C C C.....is a function
Pls help I need help with math
Answers
I hope it helped you!!
Oof
Answer:
20x
Step-by-step explanation:
First of all, we need to always do the x first. And then subtract it I guess.
25x + (5x – 10)
30x-10
20x
How many millimetres are there in 7.4 centimetres?
Answers
Answer:
74
Step-by-step explanaction
Formula=multiply the length value by 10
6. Leveled Practice Resting heart rate is a measure of how
fast the heart beats when a person is not performing
physical activity. The graph shows the number
of heartbeats over time for a given person.
a. Use two sets of coordinates to write an equation
to describe the relationship.
280 -
II
m is
-2
y=
Х
Answers
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
m = (280 - 140)/ (4 - 2) = 70
The equation of the line from the graph.
y = 70x
The heart's resting heart rate is 70 beats per minute.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The following coordinates are from the given graph.
(1, 70), (2, 140), (3, 210), and (4, 280)
Now,
m = (280 - 140)/ (4 - 2) = 140/2 = 70
The equation from the graph can be written as,
y = mx + c
(1, 70) = (x, y)
70 = 70 x 1 + c
c = 70 - 70
c = 0
So,
The equation of the line from the graph.
y = 70x
1 minute = 70 heartbeats.
The heart's resting heart rate is 70 beats per minute.
Thus,
m = (280 - 140)/ (4 - 2) = 140/2 = 70
The equation of the line from the graph.
y = 70x
The heart's resting heart rate is 70 beats per minute.
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What is an equation of the line that passes through the points (0, -5) and
(-5,-1)?
Answers
Answer:
we find first slope
m=(-5+1)/(0+5)
m=-4/5
y-y1=m(x-x1)
y+ 5=(-4/5)(x-0)
5y+25=-4x
so equation is. 4x+5y+25=0
Answer:
y=[tex]-\frac{4}{5}[/tex]x-5
Step-by-step explanation:
The coordinates (0,-5) tells us the y intercept of the line, which is -5.
To find the equation of the line, we have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :
m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]
we then solve for m(the slope) and we get:
m=[tex]-\frac{4}{5}[/tex]
so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5
How to determine if a series converges or diverges.
Answers
A remote-control airplane is descending at a rate of 24.91 meters per second. What will be its change in height after 3 1/2 seconds? Round your answer to the nearest meter.
Answers
Answer:-87
Step-by-step explanation
-24.91 times 3 1/2 equals -87
The change in height after 3 and 1/2 seconds will be 87 meter.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that remote-control airplane is descending at a rate of 24.91 meters per second.
We need to multiply the rate and height will be;
-24.91 x 7/2 = -87 m
Hence, the change in height after 3 and 1/2 seconds will be 87 meter.
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Simplify 3^(eight) divided by 3^(two)
Answers
Answer:
1/4
Step-by-step explanation:
Hope this Helps!
The function c(x) = 400x – 0.2x2 represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold. which statement is true? one thousand units have the minimum cost of $200,000. one thousand units have the maximum cost of $200,000. two thousand units have the minimum cost of $800,000. two thousand units have the maximum cost of $800,000.
Answers
At x = 1000 we get the c(1000) = 2000,000. Second statement 'one thousand units have the maximum cost of $200,000' is true.
It is given that the function [tex]\rm c(x)=400x-0.2x^2[/tex] represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold.
It is required to find which statement is true, mentioned in the question.
What are the maxima and minima of a function?Maxima and minima of a function are the extrema within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
We have a function:
[tex]\rm c(x)=400x-0.2x^2[/tex]
To find the maxima and minima of any function we differentiate the function with respect to [tex]\rm x[/tex] and equate to zero.
[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x-0.2x^2)[/tex]
[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x)-\frac{d}{dx} (0.2x^2)\\\rm \frac{d \ c(x)}{dx} =400-(0.2\times2x)\\\rm \frac{d \ c(x)}{dx} =400-0.4x[/tex]
For maxima and minima [tex]\rm \frac{d \ c(x)}{dx} =0[/tex]
[tex]\rm 400-0.4x=0\\\rm x=\frac{400}{0.4} \\\rm x=1000[/tex]
If we find the seconnd differentiate, we get
c''(x) = -0.4 < 0
It means at x = 1000 we will get the maximum value of a function.
[tex]\\\\\rm c(1000) = 400(1000) - 0.2(1000)^2\\\rm c(1000)= 200,000[/tex]
Thus, at x = 1000 we get the c(1000) = 2000,000. Second statement is true.
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Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answers
Answer:
1.5
Step-by-step explanation:
9 times 4 = 36
1.5 times 4 = 6
If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
We know that
36 / 9 = 6 /x
Cross multiply;
36 · x = 9 · 6
Simplify;
36x = 54
Divide each side by 36;
36x ÷ 36 = 54 ÷ 36
Simplify;
x = 1.5
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Adam and 3 riends go on holiday together for a week .The costs of the holiday will be shared equally between 4 friends .These are the cost: £1460 for 4 return plane tickets £720 for the accomidation £180 for the car hire for a week . How does adam have to pay for his share of the cost
Answers
Answer:
Adam's share is £590
Step-by-step explanation:
Given
Return Ticket = £1460
Accommodation = £720
Car Hire = £180
Required
Determine Adam's share
First, we need to determine the total cost.
Total = Return Ticket + Accommodation + Car Hire
Total = £1460 + £720 + £180
Total = £2360
Next, is to determine the average.
[tex]Average = Total/4[/tex]
[tex]Average = 2360/4[/tex]
[tex]Average = 590[/tex]
Hence;
Adam's share is £590
anu borrows 12,500 as 12% per annum for 3 years at simple interest find the simple interest she has to pay at the end of 3 years
Answers
Answer:
The interest is 4,500
Step-by-step explanation:
We use the simple interest formula,
I = Prt
where
I = interest
P = principal amount = 12,500
r = interest rate = 12% = 0.12
t = time = 3 years
I = Prt
I = 12,500 × 0.12 × 3
I = 4,500
Please help it's urgent
Answers
Answer:
no solutions exist
Step-by-step explanation:
You can rewrite the denominator as:
-2(2x-6) so the equation becomes:
[tex]-\frac12 \cdot \frac{2x-6}{2x-6} > 0[/tex]
from which you can see that not only should x ≠ 3, but for all values of x≠3 the equation is false.
Can someone help me please !
Answers
Answer:
(3,-5)
Step-by-step explanation:
4+1=5 put it on negative side makes it -5.
Need help
I will give brainliest
Answers
Answer:
4c=12
Step-by-step explanation:
In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.
Two angles are complementary angles, if ∠A measures 38 ° , What is the measurement of the other angle?
Answers
Answer:
52°
Step-by-step explanation:
complementary angles sum to 90° , then the measure of the other angle is
90° - 38° = 52°
Bashir and his friend are renting I 2 bedroom, 2 bathroom property together. The monthly rent is
4
$1,150.00 and monthly utilities will average $485.00. Bashir will pay 4/5 of the rent since his bedroom is
larger, but they will split the cost of utilities equally. Determine what amount Bashir will pay each
month for rent and utilities
$242.50
$920.00
$817.50
$1,162.50
Answers
Answer:
d. $1162.50
Step-by-step explanation:
485 ÷ 2 = 242.50
1150 = 5/5 (100%)
÷ 5
230 = 1/5 (20%)
× 4
920 = 4/5
920 + 242.5 = $1162.50
$1,150/5=$230
$230*4=$920 which is 4/5 of the rent
$485/2=$242.50 which is half of the utility bill
$920+$242.50= $1,162.50 which is what Bashir will pay in total
A bag contains four colors of marbles. The probability of randomly drawing out a yellow marble is 73%.
What is the probability of not drawing a yellow marble?
Enter the answer in the box.
Probability of not drawing a yellow marble =
Answers
Answer:
2.92%
Step-by-step explanation:
Pls help me
AND
PLS FOLLOW THE RULES
TROLL FOR POINTS= REPORT
FIRST AND CORRECT ANSWER= BRAINLIEST
( NO LINKS ) at all
Answers
Answer:
20 miles :)
Step-by-step explanation:
Pythagorean theorem formula: 16^2 + 12^2 = c^2
256 + 144 = c^2
400
[tex]\sqrt{400}[/tex] = 20
C = 20
Have an amazing day!!
Please rate and mark brainliest!!
Pierre has 12 packages to send he sent two packages on Monday and to two more packages on Tuesday what fraction of the packages has Pierre sent so far
Answers
Answer:
1/3
Step By Step Explanation:
He has sent 4/12 packages which is reduced to 2/6 which is reduced to 1/3.
2^4. 2^5-(2^2)^2
Simplify the expression
Answers
Answer:
Today: Monday, 12 October 2020
Hour: 17.31 WIB (in Indonesian)
_________________________
2⁴ × 2⁵ - (2²)²
= 2⁹ - 2⁴
= 512 - 16
= 496
After an increase of 25%, there were 800 students in Hockessin Middle School. How many students were at the middle school before the increase?? ( please answer!! )
Answers
Step by Step Explanation:
If there was an increase of 25% that means it was 100% earlier. 100+25 = 125%
800=125%
To get from 125 to 100 divide by 1.25
800/1.25=640
640=100%
literally just doing this so i can graduate lol
First, rewrite 3/4 and 7/9 so that they have a common denominator.
Answers
Answer:
3/36 and 7/36
Step-by-step explanation:
The new fractions with common denominator are 27/36 and 28/36
What are fractions?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that, rewrite 3/4 and 7/9 so that they have a common denominator.
To make their denominator common, multiply, the first fraction by 9 and second denominator by 4,
Then,
3×9/4×9 = 27/36
7×4/9×4 = 28/36
Hence, the new fractions with common denominator are 27/36 and 28/36
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{56, 63, 70, 77,..., 126} the best set builder notation
Answers
Answer:
7
Step-by-step explanation:
63-56 = 7
PLEASE HELP ME FRIENDS
Answers
Answer:
x=10
Step-by-step explanation:
Since the two given expressions are alternate interior angles ( as a result of the parallel line, which are indicated by the arrows on the two lines going through the middle line, the transversal) you can set them equal to each other.
5x-10 = 3x+10
add 10 on both sides
5x = 3x + 20
subtract 3x on both sides
2x=20
divide by 2 on both sides
x=10
Answer:
10=x
40 degrees for both
Step-by-step explanation:
3x+10=5x-10
3x+20=5x
20=2x
10=x
3(10)+10=40
5(10)-10=40