Determine which equation has the same solutions as the equation below.
4x^2 + 32x − 28 = 0
A.) (x + 4)^2 = 23
B.) 4(x + 4)^2 = 36
C.) 4(x + 8)^2 = 28
D.) (x + 8)^2 = 57
Answers
The answer is A.) (x + 4)^2 = 23
Proof that I am correct
Related Questions
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction mmmmmmmmDecimal mmmmmmmmPercent
⅛ mmmmmmmmmmm0.125mmmmmmmmmm12.5%
1245/1000 mmmmmm1.245 mmmmmmmmmm124.5%
40/100mmmmmmmm.4mmmmmmmmmmmm ⅖ %
I wrote the letter m to seperate nothing other works here.
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
Answers
Step-by-step explanation:
To find the answer, you would have to first put 2/5 in a decimal form. 2/5 in decimal form would be 40%. Now, it becomes easier to list the values.
Answer:
12.5%, 40%, 124.5%
I would appreciate if you mark me as branliest!
Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answers
Answer: x > 1
Step-by-step explanation:
Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t
Answers
Answer:
Either
x = 4+3i /5 or x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac /2a
First lets compare the equation 5x² - 8x + 5 = 0 to the standard quadratic equation ax² + bx + c
a = 5 b = -8 and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac /2a
= -(-8)±√(-8)² - 4(5)(5) /2(5)
= 8 ±√64-100 /10
=8 ±√-36 /10
= 8 ±√36 . √-1 /10 note that √-1 = i
=8±6i /10
=[tex]\frac{8}{10}[/tex] ± [tex]\frac{6 i}{10}[/tex]
=[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
Either
x = 4+3i /5 or x = 4-3i /5
Answer:
answer in picture
Step-by-step explanation:
The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their reading rates, in words per minute, as shown below.
Which student reads the fastest?
Answers
Answer:
Sarah.
Step-by-step explanation:
Do not be fooled by how sharp the incline is, all of these graphs are labeled at different increments on both the x and y axes.
We will now solve this problem by figuring out each student's words per minute by dividing their words read (y-axis) by their time (x-axis).
Since the graphs are all linear, meaning they are constant and will never change. No matter what point we use on either graph we will come to the same words per minute for that student. For the sake of this explanation I will use the last point on each graph.
Charlie: Charlie read 1,750 words in 10 minutes, meaning he read at 175 words per minute. 1,750 / 10 = 175
Riley: Riley read 10,000 words in 50 minutes, meaning she read at 200 words per minute. 10,000 / 50 = 200
Sarah: Sarah read 1,300 words in 6 minutes, meaning she read at 216.67 words per minute. 1,300 / 6 = 216.67
Mason: Mason read 1,000 words in 5 minutes, meaning he read at 200 words per minute. 1,000 / 5 = 200
In conclusion, Sarah reads the fastest at 216.67 words per minute!
remove all perfect squares from the square root of 180
Answers
Answer:
It should be 6 square root of 5 or about 13.4 (decimal form)
a fireplace contains 54 bricks along its bottom row. if each row above decreases by 3 bricks, what is the function that shows the bricks on the 10th row
Answers
Step-by-step explanation:
the fireplace would have 24 bricks on the 10th row
Answer:
27 bricks
Step-by-step explanation:
y= 54- 3(x-1)
y= 57- 3x
is the function, y= number of bricks on the xth row, x= row number above the bottom one
x=10 ⇒ y= 57 - 3*10 ⇒ y= 27 bricks
Help please somebody
Answers
Answer:
10n + 4
Step-by-step explanation:
$10 * n games + $4 since $10 per game + the flat rate
Answer:
4n+10
Step-by-step explanation:
What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?
Answers
y1-y2/x1-x2
Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answers
Answer:
I think that the answer is C D E
Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram
Answers
Answer:
The correct option is B
B) Stem and Leaf plot
Step-by-step explanation:
The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.
In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:
17 | 1 6
Mrs. Holland purchased a computer. She initially put down $105.40 and will pay $20.60 per
month until the computer is paid off. Use the equation b = 105.40 + 20.60m to determine
how many months it will take to pay off the computer if the total cost was $682.20
Answers
Answer:
It will take her 28 months
Step-by-step explanation:
You first subtract 682.20 and 150.40 to get 576.80. Then you divide 576.80 by 20.60 to get 28.
Answer:
The Answer you are looking for is 28 months.
What does this mean and can someone give me an example for number 1 ?
Answers
Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a rotation of 180° around the origin?
Answers
Answer: the second one
Step-by-step explanation:
The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).
(x, y) becomes (-y, x) in 180° clockwise rotation
A(-5, 4)→(-4, -5)
B(-2, 4)→(-4, -2)
C(-1, 1)→(-1, -1)
Now,
The reflection of point (x, y) across the y-axis is (-x, y).
Then, coordinates become
(-4, -5)→A'(4, -5)
(-4, -2)→B'(4, -2)
(-1, -1)→C'(1, -1)
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
To learn more about the reflection over y-axis visit:
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Need help on this please, a positive answer only :)!
Answers
Answer:
all statements are true
Step-by-step explanation:
for A real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6
i need help please !
Answers
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test requires you to draw a vertical line through any part of the graph. If the line intersects the graph at only one point, the graph represents a function. This graph passes that test. As for the other answer choices, the "horizontal line test" is not a way to see if a graph represents a function. I hope this helps :))
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test states that you can draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function. In this case, the line doesn't intersect the graph more than once.
circumference in terms of pi does anyone know this?
Answers
Answer:
15 pi
Step-by-step explanation:
Answer:
15π cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
c= d* π
We know that the diameter of the circle is 15 centimeters. Therefore, we can substitute 15 cm in for d
c= 15 cm * π
Since we are told to find the circumference in terms of pi, the answer is left as:
c= 15*π cm
c= 15π cm
What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)
B:(0, 5/3)
C:(0,-2/5)
D:(0,3/5)
E:(0, -2/3)
Answers
Answer:
E
Step-by-step explanation:
6-5 solving rational equations 8/x+3=1/x+1
Answers
Answer:
x = -5/7
Step-by-step explanation:
8/(x+3)=1/(x+1)
Using cross products
8*(x+1) = 1*(x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x+3-x
7x +8 =3
Subtract 8 from each side
7x+8-8 = 3-8
7x = -5
Divide by 7
7x/7 = -5/7
x = -5/7
A point is one-dimensional
O A. True
O B. False
SUBMIT
Answers
Answer:
This is true.
Step-by-step explanation:
A point can only be on one dimension.
Answer:
FALSE
Step-by-step explanation:
i just took it
Carl bought 17 packs of baseball cards at a flea market, at a total cost of $37.91. If each pack of cards cost the same amount, how many much de each pack cost
Answers
Answer:
[tex]=2.23[/tex]$
Step-by-step explanation:
[tex]\frac{37.91}{17}\\\mathrm{Divide\:the\:numbers:}\:\frac{37.91}{17}=2.23\\=2.23[/tex]
Answer:
$2.23
Step-by-step explanation:
17 packs = $37.91
/17. /17.
1 pack = $2.23
Consider the quadratic function f(x) = x2 – 5x + 6.
What are the values of the coefficients and constant in the function?
a=
b =
с =
Answers
a=1
b=-5
c=6
Coefficient is very easy. Just take the number in front of the constant x
Answer:
a = 1
b = - 5
c = 6
Step-by-step explanation:
f(x) = ax² + bx + c
f(x) = x² - 5x + 6
a = 1
b = - 5
c = 6
Does anyone know how to solve these two math problems??!
Answers
Answer:
1. x = -1
2. y = -3
Step-by-step explanation:
1. 5(5x+2) = 4(x+3)
5-5x+2 = 4x+12
5-5x+2 = 4x+12
-5x+3 = 4x+12
-3 -3
-5x = 4x+9
-4x -4x
-9x = 9
x = -1
2. -3³-2(2y-2) = 5y+4
-27-4y+4 = 5y+4
-4y-23 = 5y+4
-4 -4
-4y-27 = 5y
+4y +4y
-27 = 9y
y = -3
Answer:
1. 4.17
2. -2.2
Step-by-step explanation:
Steps For Number 1
1. solve put 5x and 1 together, then put two and three together.
5 - 6x +5 = 4
2. 6x + 5 =
x= 0.83
5 - 0.83 = 4.17
Steps For Number 2
1. -3^3 = -9
2. -9 - 2(2y-2) = 5y +4
3. solve for y in 2y -2
y = 0
4. -9 - 2 = -7
5. -7 = 5y +4
5y +4 =-7 solve
-4 = -4
5y = -11 divide 5 by both
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
4
Answers
Answer:
f(6) = 4
Step-by-step explanation:
We want the value of the function when x =6
Go to where x=6 then go up to when you hit the blue line then find the y value
f(6) = 4
The table represents a liner function. What is the slope of the function?
O-3
O-2
O 3
O 4
Answers
Answer:
The slope is 3.
Step-by-step explanation:
Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.
Let's use the last 2 points in the table: (1, 7) and (2, 10)
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
= [tex]\frac{10 - 7}{2 - 1}[/tex]
= [tex]\frac{3}{1}[/tex]
The slope of this function is 3!
Hope this helps :) Feel free to ask me any questions!
Is 4.5 + 3.14 rational
Answers
Answer:
4.5 + pi (3.14) is a rational because it is a terminating decimal. irrational because it is a non-terminating and non-repeating decimal.
hope this helped!
D = -3/2
-D = ?
What does -D equal?
Answers
Answer:
Negative
Step-by-step explanation:
D has the exact same value but
this time it the other way so your answer
should be -D = 3/2
Which function has a negative discriminant value? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (1, negative 16), and goes through (5, 0). On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5). On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0). On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 4), has a vertex at (3, 0), and goes through (5, negative 4).
Answers
Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).
Step-by-step explanation: this is the one with a negative discriminant value
Answer:
iTS BBBB
Step-by-step explanation:
Just did it.
will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.
What will be the vertices of the reflected triangle?
L'(–2, –1), M'(–3, –5), and N'(–6,–4)
L'(–2, 1), M'(–3, 5), and N'(–6,4)
L'(–1, 2), M'(–5, 3), and N'(–4,6)
L'(2, 1), M'(3, 5), and N'(6,4)
Answers
Answer:
fourth option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y), thus
L(2, - 1 ) → L'(2, 1 )
M(3, - 5 ) → M'(3, 5 )
N(6, - 4 ) → N'(6, 4 )
Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?
Answers
Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10
The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
C is the answer
Step-by-step explanation:
I'm never wrong.
Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?
Answers
Answer:
8.5 weeks
Step-by-step explanation:
to solve, you can start by subtracting 61 from 129 because he has already picked 61.
129 - 61 = 68
then, just divide 68 by 8 to find how many weeks it will take him.
68/8 = 8.5
it will take Harry 8 and a half weeks to harvest at least 129 squashes.
Harry needs 9 weeks to harvest at least 129 squashes.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.
Therefore, The inequality that represents the given situation is,
8w + 61 > 129.
8w > 68.
w > 68/8.
w > 8.5.
So, It will take him at least 9 weeks.
learn more about inequalities here :
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