Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2
€
D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32
Answer: 2 one number 2
Step-by-step explanation:
It's is number 2
The required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Given expression, (4y - 3)² = 72
Simplifying the above expression:
(4y - 3)² = 72
4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4
Thus, the required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
Learn more about simplification here:
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Jim runs 10 yards, then turns 180 degrees and runs 10 more yards. After repeating the turn and run two more times, he ends up 25 yards away from where he started. How?
Answer:
The answer would be 45
Step-by-step explanation:
You are moving to a new apartment and need to hire a moving company. You’ve researched local moving companies and found these price options.
Company Flat Fee Hourly Rate
Company A $50 $25
Company B $40 $30
Company C $60 $20
Company D $150 $5
If you anticipate that it will take about 4 hours to move everything, what is the approximate percentage difference of the best and worst deals according to their unit costs?
A.
16%
B.
18%
C.
19%
D.
21%
Answer:
answer is C. 19%.
sjjsnsmsmsmamsmsjsk
The scatterplot and trend line show the number of pass
attempts and passing yards a football team had during
seven seasons.
Because none of the data points lie on the trend line,
you must find two points on the line.
Point 1 can be
Point 2 can be
Using those twe (26, 2855) ope of theline is|
Football Passing Statistics
2875fy
2870
2865
2860
E2855
2850
2845
(233,2850)
(245, 2860)
230 233 238 239 242 245 248 251 254257
Pass Attempts
Done
Answer:
Step-by-step explanation:
The slope of the trend line in the given scatter plot, using the two chosen points (236, 2855) and (248, 2865) is: 0.83.
What is the Slope of a Trend Line?The slope of a trend line = change in y/change in x.
Given the scatter plot, we can choose the following points, which we would use in finding the slope of the trend line:
(236, 2855) and (248, 2865).
Slope = (2865 - 2855)/(248 - 236)
Slope = 10/12
Slope = 0.83
Therefore, the slope of the trend line in the given scatter plot, using the two chosen points (236, 2855) and (248, 2865) is: 0.83.
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Mrs. Crimm signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate 3 of the cupcakes. Which of the following could be used to determine c, the number of cupcakes Mrs. Crimm needs to bake?
Which equation best represents the best relationship between x and y in the graph?
Which of the following are solutions to the equation below?
Check all that apply.
9x2 - 6x + 1 = 7
Answer:
Apply quaratic equation
Please help me. Thank you to anyone that helps!
How can you write an equation to solve a problem?
(written response)
( 20 points)
Answer:
if you have a specific math problem i can help you with it!
Step-by-step explanation:
you essentially translate the words into math. for example if the problem says something like "he has 5 more pieces of candy than her" you would set a variable, in this case "x," and set it up like this.
since "her" is the original amount, we'd do it like this:
her = x
he = x+5
then, we'd figure out what these values have to equal to. let's say there are 9 total pieces of candy. so this is how we'd do it:
(x)+(x+5)=9
now we solve:
2x+5=9
2x=9-5
2x=4
x=2
hope this somewhat helped! if you have more questions, feel free to ask me!
The value of (3a – 4b + 2) × (5a + 6) for a = 1 and b = -2 is
Step-by-step explanation:
We know that
a=1 and b= -2
{3*1-4*(-2)+2} .{5*1+6}
= (13-11)
=2
Answer:
143
Step-by-step explanation:
(3a – 4b + 2) × (5a + 6)
a = 1 ; b = - 2
(3(1) – 4(-2) + 2) × (5(1) + 6)
Inputting the values of a and b
(3 - (-8) + 2) * (5 + 6)
(3 + 8 + 2) * (11)
13 * 11
= 143
A participant in an experiment who incorrectly believes she is receiving treatment and reports an improvement in their condition is experiencing
blinding.
placebo.
control group.
placebo effect.
Answer:
placebo.
Step-by-step explanation:
2) Graph by making a
table.
y=x-4
Answer:
Explanation:
y= x-4
is in the slope-intercept form for a linear equation,
y= mx+b
, where
m
is the slope and
b
is the y-intercept. In the given equation,
m= 1
and
b= 4
.
To make a table to graph, give various values to
x
and solve for
y
.
Ordered Pairs
x......y
4...8
2....6
0.......4
2......2
4......0
Plot each ordered pair and draw a straight line through the points.
graph{y=-x-4 [-14.24, 14.23, -7.12, 7.12]}
Determine what regions make up the given probabilities - shade the Venn Diagram,
Plzzzz help I’ll mark you
Answer:
3/10 liters more
Step-by-step explanation:
8/10 - 5/10 = 3/10
Find the surface area of this triangular prism.
Please explain as well, I’m struggling with it.
Answer:
SA= 84 cm^2
Step-by-step explanation:
So first locate all the surfaces
we got 5 sides in total
Now calculate each one
Lets start with the 2 triangles
so formula for area of triangl is 1/2(b*h)
So in this case it’s 6
Now there are 2 identical triangles
So Times the 6 by 2
You’ll get 12
Thats 2 sides
Now for the side with the rectangle of 5cm and 6cm
Area of rectangle is 5*6=30
That would onay be 1 side
Now for the bottom of the prisim which is the side with 4cm and 6cm
Same rectangle so multiply
4*6=24
Thats another side down
The last side is on the left with the back not visible. The two dimensions are 6 and 3
Now multiply 6*3
18
Now add up your total
18+24+12+30=84
So 84 cm^2 OR 84 square centimeters
Answer:
84 [tex]cm^{2}[/tex]
Step-by-step explanation:
To find the surface area of a prism, one will have to find the area of each of the sides of the prism, then add the areas up. First, find the dimensions of each of the sides
Front; 5 x 6
Front triangle; 3 x 4
Back triangle; 3 x 4
Bottom; 4 x 6
Back; 3 x 6
The front is a rectangle, hence one has to [tex]base * height[/tex] to find the area;
5 x 6
= 30
The front triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;
[tex]\frac{3*4}{2}[/tex]
= 6
The back triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;
[tex]\frac{3*4}{2}[/tex]
= 6
The back is a rectangle, so one has to do [tex]base * height[/tex] to find the area;
4 * 6
= 24
The bottom is a rectangle, o one has to do [tex]base * height[/tex] to find the area;
3 * 6
= 18
Noe one has to add up all the areas to find the total surface area;
Front + Front_triangle + Back_triangle + Bottom + Back
30 + 6 + 6 + 24 + 18
= 84
Which of the following angles is one of the two reflexive interior angles in
this polygon?
Pls help me
Answer:
Its D i got it right
Answer:
the answer is d if u look u will see that h is the
Step-by-step explanation:
What is a slope of a line parallel to the line whose equation is Y - X = 5
A) -1
B) 1/5
C) 1
D) 5
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - x = 5 ( add x to both sides )
y = x + 5 ← in slope- intercept form
with slope m = 1
Parallel lines have equal slope, thus
the slope of a parallel line is m = 1 → C
Chloe charged for admission to her play on three different nights. Each night, a
different number of people were in attendance, but remarkably, Chloe collected
S541 each night. If the admission charges for each child and each adult were $9
and S17, respectively, how many people in total came to the three showings?
Answer:
The number of people in total that came to the three showings is 138 people
Step-by-step explanation:
The amount Chloe collected each night for admission to her play = $541
The admission charge for each child = $9
The admission charge for each adult = $17
The number of people attending the play each of the three nights are different
Let x represent the number of children that attend the play on the first night and ley y represent the number of adults that attend, we have;
9·x + 17·y = 541
For the second night, we have;
9·a + 17·b = 541
For the third night, we have;
9·c + 17·d = 541
27·(x + a + c) + 51·(y + b + d) = 1,623
Using Microsoft Excel, where we create a series with the first term = 541 and the common difference, d = -9 and number the adjacent column serially from 1 to 61 and the on the right column we divide the created series by 17 then we search for the whole number combinations, we get three possible combinations as follows;
12 children and 26 adults
29 children and 17 adults
46 children and 8 adults
Therefore, the number of people in total that came to the three showings = 12 + 26 + 29 + 17 + 46 + 8 = 138
The number of people in total that came to the three showings = 138 people.
Look at the photo pick A B C D either one explanation not needed thank you! <3 [13]
Answer: D
Step-by-step explanation: Correct me if I'm wrong.....
Tim has x beads. Amy has two more beads than Tim. Sarah has five times as many beads as Amy. How many beads does Sarah have?
Answer:well we need to know how mmch tim has so like
x?+2 is amy
x?+2*5 is sarah
Step-by-step explanation:
Dilate by a scale
factor of 1/2
AL
D
Answer:
The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:
D' (0, 1) L' (1/2, 5/2) or L'(0.5, 2.5)W' (5/2, 2) or W'(2.5, 2)`The figure of the dilated image is attached below.
Step-by-step explanation:
Given the triangle ΔDLW withe the vertices
D(0, 2)L(1, 5)W(5, 4)As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.
The rule of dilation is given by
Dilation: (x, y) → (1/2x, 1/2y), centered at (0, 0)
D(0, 2) → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)
L(1, 5) → L'(1/2x, 1/2y) → L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)
W(5, 4) → W'(1/2x, 1/2y) → W'(1/2(5), 1/2(4)) = W' (5/2, 2)
Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:
D' (0, 1) L' (1/2, 5/2) or L'(0.5, 2.5)W' (5/2, 2) or W'(2.5, 2)`The figure of the dilated image is attached below.
Simplify
hurrryyyyyy pleaseee
Answer:
1
Step-by-step explanation:
What is the slope of this line? II y = -3x + 1
Answer:
-3
Step-by-step explanation:
y = mx + b
m represents the slope, and on this equation, instead of m we have -3. So -3 is the slope
Answer:
Slope m = -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x + 1
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 1
what is x if: 5÷x=30
Answer:
x = 1/6
Step-by-step explanation:
Rewrite the equation to get 5/x = 30. Multiply x on both sides to get 5 = 30x. Then divide 30 on both sides to get your x value which is 1/6.
Answer:
x= 1/6
Step-by-step explanation:
multiply both sides by x
divide both sides by 30
simplify 5/30 to 1/6
Can someone explain what f(12) means?
Answer:
A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/12 ("f of x equals x divided by 12")
Step-by-step explanation:
A washing machine is filling up with water at a constant rate. The rate is Three-fourths of a gallon in StartFraction 1 over 5 EndFraction of a minute. Don calculated the unit rate to be StartFraction 3 over 20 EndFraction of a gallon per minute. What did he do wrong?Jonah bicycled 12 miles in 4 hours. What is the unit rate?
Answer:
3/4 in 1/5 of 60 sec
1/5*60=12
3/4 in 12 seconds
3/4*5=15/4=3 3/4
He multiplied 3/4 by 1/5 instead of by its reciprocal , 5.
12/4=3
3 mph
Answer:
3/4 in 1/5 of 60 sec
1/5*60=12
3/4 in 12 seconds
3/4*5=15/4=3 3/4
Step-by-step explanation:
HELP PLS ITS TIMED TEST TY-
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).
The city planner wants to plant a tree at the orthocenter of the park. What are the coordinates of the tree?
ANSWER: (__,__)
Answer:
(1,4)
Step-by-step explanation:
Answer:
1, 4
Step-by-step explanation:
What are the three pairs of parallel segments in ABC?
Answer:
AB || YZ, BC || XY, AC || XZ
-1 over 5 divided by 7 over 4
Answer:-0.00714
Step-by-step explanation: STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
0 - — ÷ 7 ÷ 4
5
STEP
2
:
1
Divide — by 7
5
Equation at the end of step
2
:
1
0 - —— ÷ 4
35
STEP
3
:
1
Divide —— by 4
35
Equation at the end of step
3
:
1
0 - ———
140
STEP
4
:
Final result :
-1
——— = -0.00714
140
please help me on this!
Answer:
(a.) B: 8,000
(b.) C: 800
(c.) A. 10 times
Step-by-step explanation:
8762 has 3 digits after the 8. 8,000 has 3 digits after the 8
851 has 2 digits after the 8. 800 has 2 digits after the 8.
8,000 ÷ 800 = 10
Another way to do it is: 8000 has 3 zeros and 800 has 2 zeros.
3 - 2 = 1. 10 has 1 zero.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!