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
Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?
Answers
Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
I will make you brainliest if correct. explain how you got it please
Answers
Answer:
Perpendicular
Step-by-step explanation:
Slope of l1=6\9 = 2\3
Slope of l2 =-3\2
perpendicular lines
Answer:
perpendicular
Step-by-step explanation:
l1 slope= 2/3
l2 slope= 3/2
. The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
Answers
Answer:im so sorry these people wasted your time hun Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
there ya go!
If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP
Answers
I really need this done today please help PLEAASSSEEE
Answers
Answer:
A and C
Step-by-step explanation:
Answer:
If I am correct, the answer is A, C
Step-by-step explanation:
asap please and thank you
Answers
Answer:
x = 16 degreesStep-by-step explanation:
1 and 3 are vertical angles so m∠1 = m∠3
(4x - 2)° = 62°
4x - 2 = 62
4x = 64
x = 16
I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?
Answers
A gram is smaller than an ounce
Answer:
6 ounces equals to 170 grams
Step-by-step explanation:
Round 67,891 to the nearest hundred
Answers
Answer:
67,900
Step-by-step explanation:
What is y=6/5x+4/5 perpendicular
Answers
Answer:
y=-6/5xStep-by-step explanation:
through: (3, 5) parallel to y=3x-1
Answers
Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: thats a tuff one
Step-by-step explanation:
im not sure
The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15
PLEASE HELP WILL GIVE BRAINLEST
Answers
=√40 = 6.32455 ≈ 6.3
Answer: B ) 6.3
what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6
Answers
Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.
Step-by-step explanation:
distance between -5.4 and -3.8
Answers
Answer:
1.6
Step-by-step explanation:
In order to find the distance all you need to do is subtract the two numbers
so you would:
-5.4-(-3.8)=-1.6 or 1.6 since distance is not negative number.
A interesting fact to note is when you are subtracting negatives you can also just add the number as a positive
Ex.
5 - (-2) =7
5+2=7
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Answers
Answer:
The side lengths of the tile are 8 Inches and 10.5 Inches.
Step-by-step explanation:
Perimeter of a parallelogram = 2(a + b)
Let
a = shorter side
b = longer side
b = a + 2.5 inches
The perimeter of each tile is 37 inches
Perimeter of a parallelogram = 2(a + b)
37 = 2{a + (a + 2.5)}
37 = 2{a + a + 2.5}
37 = 2(2a + 2.5)
37 = 4a + 5
37 - 5 = 4a
32 = 4a
Divide both sides by 4
a = 32/4
= 8
a = 8 inches
b = a + 2.5 inches
= 8 + 2.5
= 10.5 inches
b = 10.5 inches
The side lengths of the tile are 8 Inches and 10.5 Inches.
Given points A(9,3), B(-3,6), and C(-7,3). Which statement describe the vectors that include these points? Check all that apply
Answers
B C D F are the right answers
Step-by-step explanation:
Answer c,e
Step-by-step explanation: i just did it
Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100
Answers
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
15 + 40 = 55, so 55% of the toy cars are not multicolor.
100 - 55 = 45 so 45% of the toy cars ARE multicolor.
To find what 45% of 400 is, we multiply 400 by 0.45
400*0.45 = 180 so there are 180 multicolor cars.
I need help I’m being timed
Answers
Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answers
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
2x -14 = -9 answer for this equation
Answers
Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way
Step-by-step explanation: Move all terms that don't contain
x
to the right side and solve.
Answer:
x= 2.5
Step-by-step explanation:
Simplifying
2x + -14 = -9
Reorder the terms:
-14 + 2x = -9
Solving
-14 + 2x = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2x = -9 + 14
Combine like terms: -14 + 14 = 0
0 + 2x = -9 + 14
2x = -9 + 14
Combine like terms: -9 + 14 = 5
2x = 5
Divide each side by '2'.
x = 2.5
Simplifying
x = 2.5
Expand and simplify
(3x + 2)(x - 1)
Answers
Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball?
Answers
Answer:
12
Step-by-step explanation3%36
Please help, I have nothing great to offer you though.
Which set of numbers includes only integers?
Answers
Answer
-10,-7,0,98,145
Step-by-step explanation:
Integers are whole numbers negative or positive.
Hope that helped :)
Plz help I’m getting timed
Answers
Hope all is well
How many buses do you need for 650 people if each bus holds 100 people?
Answers
Answer:
we would need 7
Step-by-step explanation:
because if each bus hold 100 and there is 650 we would need 7 buses
because we well have 6 fill bus and 1 half full bus
Answer:
7
Step-by-step explanation:
100/7 u would only ned the 7 and not the 100
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answers
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?
Answers
Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
Answers
Starts at 6:15
Note: An hour is 60 minutes.
So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.
So the film ended at 8:25.
Which graph best represents a system of equations that has no solution?
Answers
Answer:
D, because parallel lines never have a solution.
Step-by-step explanation:
The graphs which show no solution is required.
Option D has no solution.
When a system of linear equations have a solution means that the lines intersect each.
This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.
Options A, B and C all have lines that intersect each other at some point.
In option D the lines are parallel to each other.
So, option D has no solution.
Learn more:
https://brainly.com/question/15721976?referrer=searchResults
What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd
Answers
Answer:
4+8+10+6=28
Step-by-step explanation: