Answers
Answer:
Option (D)
Step-by-step explanation:
Standard equation of a quadratic function is,
ax² + bx + c
Comparing this function with the given quadratic function,
f(x) = 2x² - 4x - 3
a = 2, b = -4 and c = -3
By using quadratic formula to get the value of x,
x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
= [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]
= [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]
= [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]
= [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]
Therefore, Susie made a mistake in step IV.
Option (D) is the answer.
Related Questions
which of the following is the slope intercept form of the equation of this line
Answers
Answer:
The slope-intercept form of the equation of this line is:
[tex]y=-x[/tex]
Hence, option 'c' is true.
Step-by-step explanation:
From the line equation, let us take two points
(1, -1)(-1, 1)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]
[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]
[tex]m=-1[/tex]
From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0
at x=0, y=0
Thus, (0, 0) is the y-intercept
We know that the slope-intercept form of the line equation is
y=mx+b
where
m=slope b=y-interceptAs we have already determined m=-1 and y-intercept=b=0
so substituting m=-1, b=0 in the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
[tex]y=(-1)x+0[/tex]
[tex]y=-x[/tex]
Thus, the slope-intercept form of the equation of this line is:
[tex]y=-x[/tex]
Hence, option 'c' is true.
Which of the following is a solution to the system? Show your work.
3x+2y=-3
3x-y=6
Group of answer choices
(-1, 0)
(1, -3)
(2, 0)
LaTeX: (0,-\frac{3}{2})
Answers
Answer:
(1, -3) is a solution to the system of equations ⇒ B
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + 2y = -3 ⇒ (1)
∵ 3x - y = 6 ⇒ (2)
→ Subtract equation (2) from equation (1)
∵ (3x - 3x) + (2y - -y) = (-3 - 6)
∴ (0) + (2y + y) = (-9)
∴ 3y = -9
→ Divide both sides by 3 to find y
∴ y = -3
→ Substitute the value of y in equation (2) to find x
∵ 3x - (-3) = 6
∴ 3x + 3 = 6
→ Subtract 3 from both sides
∵ 3x + 3 - 3 = 6 - 3
∴ 3x = 3
→ Divide both sides by 3 to find x
∴ x = 1
To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right
∵ 3x + 2y = -3
∵ 3(1) + 2(-3) = -3
∴ 3 - 6 = -3
∴ -3 = -3
→ The two sides of the equation are equal
∵ 3x - y = 6
∵ 3(1) - (-3) = 6
∴ 3 + 3 = 6
∴ 6 = 6
→ The two sides of the equation are equal
∴ The solution satisfies the two equations
∴ (1, -3) is a solution to the system
please help me
I don't answer this
I'll give brilliance
Answers
Answer:
2 oz.
Step-by-step explanation:
2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg
how many solution does following equtitions have 7x+21=21
Answers
One solution.
[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]
If we can solve for the value of x. Then the solution would be one only for system of linear equations.
For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.
When the equation is false or rather say that both sides have different number or value then there won't be any solutions.
At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?
Yes Or No
Answers
Answer:
Yes, your total savings on gas is proportional to the number of beverages you purchase.
Step-by-step explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
number of beverage purchased
savings
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
savings / beverages purchase = $ 0.20 / beverage
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answers
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return
Answers
Answer:
15x + 28y = 116
x + y = 6
Step-by-step explanation:
Answer:
A :)
Step-by-step explanation:
What is the missing value in the equation?
4/6 + ?/4 = 23/12
Answers
Answer:
missing value is 5
Step-by-step explanation:
Change them to all have the same denominator
8/12 + 3x/12 = 23/12
multiply all by 12
8 + 3x = 23
subtract 8
3x = 15
divide by 3
x = 5
Billy is on the cross-country team. His goal is to run on 2/3 of the days in September, which has 30 days. If Billy meets his goal, how many days will he run? Group of answer choices
Answers
Answer:
20
Step-by-step explanation:
30/3=10
10*2=20
Put these over a common denominator: ³/5 and 4/7
Answers
ANSWER 35
Step-by-step explanation:
7 and 5 - 35
Now just simplify the 3 and 4 :)
You start hiking at an elevation that is 80 meters below base camp.
You increase your elevation by 42 meters. What is the new elevation
with respect to base camp?
Answers
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since a negative value is below the base camp, this means that you are now 38 m below base camp.
Which of the following systems of inequalities has point D as a solution?
Answers
Answer:
The answer is A
Step-by-step explanation:
Write an equation for the graph
No mix numbers or decimals
Picture attached
Please help ASAP
Answers
PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE.
Answers
Answer:
#1 yes #2
Step-by-step explanation:
I added comments on why it is correct
Find the solution(s) for x in the equation below.
x^2 - 25 = 0
A. x = -5
B. no solutions
C. x = 5
D. x = 5; x = -5
Answers
Answer:
D) x=5, x=-5.
Step-by-step explanation:
x^2-25=0
factor
(x+5)(x-5)=0
x+5=0, x-5=0,
x=0-5=-5,
x=0+5=5.
help asap will make brainlest
Answers
Answer:
C
Step-by-step explanation:
Slope of first equation: -1/2; y-int: -1
Slope of second equation: 1/4; y-int: -4
Answer:
C:
y= -1/2x -1
y= 1/4x -4
Step-by-step explanation:
Quick maths
After getting her close friends to follower her, she starts posting pictures her outfit each morning and gaining new followers. Her total number of followers is given by the functionF(p)=5p+8 where p
is the number of posts she's made. Based on this function, Okoye gains followers for every post she makes. After posting 10 times, she will have followers?
Answers
Answer:
58
Step-by-step explanation:
Replace the p in the function with 10. 5(10) + 8 = 58
What is the value of the function y=2x−3 when x=−1?
−5
−1
2
3
Answers
Answer:
-5
Step-by-step explanation:
As, x = - 1
So 2(-1)-3 = - 2 - 3 = - 5
So y = - 5
Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.
True or False: Two pounds of apples cost more than $3.
Answers
Answer:true
Step-by-step explanation:
select the equation represented by the graph
Answers
Answer:
your answer will bw the option A.
Step-by-step explanation:
there are 11 kids at a birthday party if there are six girls and five boys at the party which fraction of the kids are boys
Answers
If f(x) = -3x + 5, find f(6.4).
Answers
Answer:
-14.2
Step-by-step explanation:
f(x)=-3x+5 Write original equation
f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.
=-14.2 Solve
Find the area of each sector.
Answers
Answer:
d. 250π/3
Step-by-step explanation:
A = πr²
A = 3.14(10)² = 314.159
A = 314.159*(5/6) = 261.799
A = 261.799 = 250π/3
Answer:
D
Step-by-step explanation:
You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.
[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]
That above is your formula you need to remember for these equations.
Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.
The area of a circle is the formula: A = πr²
Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.
[tex]A=\pi10^2\\A=314.159[/tex]
Now lets solve for the missing variable (Sector Area).
[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]
I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.
PLEASE HELPP!! (10 points)
Answers
Answer:
Gertrude, Bart, Hermione, Jojo
Step-by-step explanation:
Ok to start of lets identify the money in each bank account
I will not be using names to make this simpler.
Student A: $-100.54
Student B: $95.88
Student C: $50.00
Student D: $-120.37
Lets pretend that were not talking about money to help you understand this.
So just from glancing at this you'd think -120.37 would be the most because its the largest number correct?
Well you have to include the negative sign. The negative sign shows that this number is below 0.
Lets take a look at the other negative number.
-100.54
Greater or less than -120.37?
-100.54 is actually greater than -120.37
Why?
On a number line, the negative side, your counting back from 0. So the farther away you are from 0 for negatives, the less that number is.
So -120.37 would be the least and -100.54 would be the second least.
The greatest would be 95.88 because its greater than 50.
So the order would be 95.88, 50, -100.54, then -120.37
Just find which students that goes with and your done!
If you ever need more help don't be afraid to reach out and I hope that helps!
At the beginning of the month, Arnold’s bank account balance was $217.25. During the month he made deposits of $49.58 and $105.75 and a withdrawal of $25.45. What was Arnold’s bank balance at the end of the month?
Answers
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below SHOW
the number of feet that the top of the bridge was above the water versus the amount of minutes that the drawbridge
was open.
40
30+
Feet Above Water
20
10
1
2
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the
rate of change over these intervals. Complete the table to determine the rate of change or the drawbridge (in feet per
minute) at each of the specified intervals.
Answers
Answer:
Between 0 and 1 minute: 25
Between 1 and 2 minutes: 0
Between 2 and 4 minutes: -25
Step-by-step explanation:
Notice the changes in the table and how the line increases, stays constant, and decreases.
rewrite as as whole number 40/5
Answers
Answer:
8
Step-by-step explanation:
Just do 40 divided by 5.
I'm almost done I only have 11 more questions well maybe 3 but I'm counting the a,b,c,d type thing so........
Answers
Answer:
John is taller
Step-by-step explanation:
by 1/12 feet
1/3=4/12
1/4=3/12
Simplify 12x-24 into simplest form
Answers
12(x-2)
I WILL GIVE BRAINLIEST
Answers
Answer:
Number 5 is 65 percent.
Number 6 is 74 percent.
Number 7 is 61 percent
Number 8 is 85 percent
Step-by-step explanation:
Its pretty easy you just take the two numbers given so for number 5 it says iPhone so you take 87 + 43 and then divide that number by 2. And do that for all of them.