Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 5x -10 = x2 + 4
Answers
Answer:
Step-by-step explanation:
2x2+5x−10=x2+4
Step 1: Subtract x^2+4 from both sides.
2x2+5x−10−(x2+4)=x2+4−(x2+4)
x2+5x−14=0
For this equation: a=1, b=5, c=-14
1x2+5x+−14=0
Step 2: Use quadratic formula with a=1, b=5, c=-14.
x=
−b±√b2−4ac
2a
x=
−(5)±√(5)2−4(1)(−14)
2(1)
x=
−5±√81
2
x=2 or x=−7
Answer:
x=2 or x=−7
Answer:
x = 2 or x= -7
Step-by-step explanation:
We can use factorisation to solve this.
First, we shift all the variables to one side (see attachement)
Then, we need to find the value of x, which multiples to give -14 and adds together to give 5.
7 - 2 = 5
and 7 x (-2) = -14.
Now we factorize (group into brackets) to find the values of x.
We solve for x to find the final answer.
Related Questions
1.) Find and compare the population density for Arizona and New York. Round your answers to the nearest whole number.
State Population Land Area (square miles)
Arizona 6,828,065 113,594
New York 19,795,791 47,126
You need to explain your steps in detail.
Answers
Answer:
just round them at the end
Step-by-step explanation:
Arizona: 7,278,717
New York 8.419 milion
Best loadout for peacekeepe?
Answers
Rear Grip: Firm Grip Tape
Ammunition: Extended Mag A
Underbarrel: Foregrip
Laser: Aim Assist Laser
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answers
Answer:
The mean is 30
100-121k^2=0 What are solutions to this equation?
Answers
Answer:
k = ±[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
121k² - 100 = 0
(11k + 10)(11k - 10) = 0
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answers
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
WILL GIVE BRAINLIEST
Answers
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
Mia wants to purchase a pair of jeans that cost $36. They are on sale for 20% off. What are two ways that Mia can find the cost of the jeans? Write your answers in the blanks. Mia can find the difference of 36 and of 36 or she can multiply 36 by
please help
Answers
Answer:
multiply 36 by .20 and subtract that from 36
Step-by-step explanation:
20% is the amount off. if you multiply .20 and subtract it you'll get $7.20 so 36-7.20 which is $28.80.
Answer:
28.80 is 36 dollars 20 percent off.
Step-by-step explanation:
take the original price
divide the original price by 5
alternatively, divide the original price by 100 and multiply it by 20
subtract this new number from the original one
the number you calculated is the discounted value.
more simple steps:
1. subtract the final price from the original price
2. divide this number by the original price
3. multiply the result by 100
other explanation: a 20 percent discount is 0.20 in decimal format. secondly, multiply the decimal discount by the price of the item to determine the savings in dollars. for example: if the original price of the item equals 24$, y I u would multiply 0.2 by 24$ to GET $4.80
hope this helps!
Thank you to anyone who answers .
Answers
Answer:
last one
Step-by-step explanation:
I need helpppp
number 16)
Answers
Answer:
A) 15
Step-by-step explanation:
20 x 0.75= 15
A.Supplementary
B.None
C.Complementary
D.Vertical
Answers
Answer:
A. the answer is supplementary
Captionless Image ...............................................................................................................
Answers
Answer:
um what?
Step-by-step explanation:
I don't understand this
Please help me i dont understand this
Answers
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
Which CANNOT be the third side of a triangle with side lengths 4ft, and 6ft?
5ft
8ft
10ft
2ft
Answers
Answer:
2ft
Step-by-step explanation:
2ft is small than the other options.
A car is stuck in a ditch. The car weighs 500kg. How much force will it take to take the car out of the ditch.
Answers
Does anyone wanna play iMessage games
Answers
yessss
lets
play
rn!!!!!!
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answers
Answer:
pretty sure its 18
Step-by-step explanation:
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Answers
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing store at a 35% markup.
a. Write the mark up as a decimal.
b. Write two expressions for the retail price of the dress shirt.
c. What is the retail price of a dress shirt that Dana purchased for $32.00?
d. How much was added to the original price of the dress shirt?
Answers
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5
Answers
Given:
The equation of a line is
[tex]y=-4x+10[/tex]
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=-4x+10[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-4[/tex]
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m\times m_1=-1[/tex]
[tex](-4)\times m_1=-1[/tex]
[tex]m_1=\dfrac{-1}{-4}[/tex]
[tex]m_1=\dfrac{1}{4}[/tex]
The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+6=\dfrac{1}{4}x-1[/tex]
[tex]y=\dfrac{1}{4}x-1-6[/tex]
[tex]y=\dfrac{1}{4}x-7[/tex]
Therefore, the correct option is B.
BRAINLIEST TO CORRECT
Answers
Answer:
4519.5
Step-by-step explanation:
so sorry if that's not correct.
The dot plot shows the number of flowers each science student was able to identify. A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12. Select from the drop-down menus to correctly complete the statement. The distribution of data is skewed right , with a mode of Choose... , and a range of Choose... .
Answers
Answer:
The dot plot shows the number of flowers each science student was able to identify.
A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12.
Select from the drop-down menus to correctly complete the statement.
The distribution of data is 1 "skewed right", with a mode of 2 "3", and a range of 3 "12".
Step-by-step explanation:
I took the test!
Which set of decimals are in the correct order from smallest to largest?
A. 0.3,0.34,0.334,3.4
B. 0.34,3.4,0.3,0.334
C. 3.4,0.334,0.3,0.34
D. 0.3,0.334,0.34,3.4
Answers
Answer:
A
Step-by-step explanation:
devide 840 in the ratio 3:4
Answers
Answer:
360:480
We know the total (840) so add the ratio: 3 + 4 =7
Divide 840 by 7 = 120
Multiply each part of the ratio by 120
3 x 120 = 360
4 x 120 = 480
Step-by-step explanation:
can someone please help me with this question???
Answers
Answer:
52.36 rounded to hundredth place
Step-by-step explanation:
8 is the height and radius is half of the diameter. Just plug those into the equation
Help with math homework Will mark brainlest no matter what
Answers
Answer:
(x-3)^2 + (y+2)^2 = 25
Step-by-step explanation:
Center is (3,-2) Radius is 5
3=h -2=k r=5
Formula (x-h)^2 + (y-k)^2 = r^2
Plug it in and switch the signs inside the ( )
(x-3)^2 + (y+2)^2 = 25
what is 2+2=? adding letters for extra characters
Answers
Answer:
4
Step-by-step explanation:
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answers
Answer:
A.less than 6 but more than 20
what is the equivalent ratio for 3:4
Answers
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
Find the area of the following shapes.
Answers
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answers
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700