Answer:-9
1
Distribute
x
(
4
x
−
1
)
+
9
(
4
x
−
1
)
=
0
x(4x−1)+9(4x−1)=0
2
Distribute
4
x
2
−
x
+
9
(
4
x
−
1
)
=
0
4x
2
−x+9(4x−1)=0
3
Distribute
4
x
2
−
x
+
36
x
−
9
=
0
4x
2
−x+36x−9=0
4
Combine like terms
4
x
2
+
35
x
−
9
=
0
4x
2
+35x−9=0
5
Use the quadratic formula
x
=
−
35
±
35
2
−
4
⋅
4
(
−
9
)
2
⋅
4
x=
2⋅4
−35±
35
2
−4⋅4(−9)
6
Simplify
x
=
−
35
±
37
8
x=
8
−35±37
7
Separate the equations
x
=
−
35
+
37
8
x
=
−
35
−
37
8
x=
8
−35+37
x=
8
−35−37
8
Solve
x
=
1
4
x
=
−
9
x=
4
1
x=−9
Based on the data plotted, choose all that are correct.
A good line of best fit for the data is y = 15x + 55.
The data on the scatter plot shows a negative relationship.
If a student studies for 6 hours, they will receive a grade of about 100.
In general, the longer time spent studying, the higher the student's grade.
Answer:
- If a student studies for 6 hours, they will receive a grade of about 100.
- In general, the longer time spent studying, the higher the student's grade.
Step-by-step explanation:
Given
See attachment for plot
Required
Select all correct options
First, we determine the equation of best fit.
Pick two corresponding points on the plot
[tex](x_1,y_1) = (2,70)[/tex]
[tex](x_2,y_2) = (4,85)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{85 - 70}{4-2}[/tex]
[tex]m = \frac{15}{2}[/tex]
[tex]m = 7.5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 7.5(x - 2) + 70[/tex]
[tex]y = 7.5x - 15 + 70[/tex]
[tex]y = 7.5x +55[/tex]
The above represents the line of best fit.
By comparison, (a) is incorrect
We calculate the slope to be:
[tex]m = 7.5[/tex]
Since the slope is positive, then the relationship is positive (b is incorrect)
Also, the positive slope implies that, as x increases, y also increase.
Hence, (d) is correct.
For (c), we substitute 6 for x in the calculated equation of best fit
[tex]y = 7.5x +55[/tex]
[tex]y = 7.5 * 6 + 55[/tex]
[tex]y = 45 + 55[/tex]
[tex]y = 100[/tex]
This shows that (c) is true because 6 hours of study gives a grade of 100
Can someone help me with this question please
Answer:
c
Step-by-step explanation:
Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B? (5 points) Group of answer choices Reflect circle A over the y-axis. Dilate circle A by a scale factor of 3. Translate circle A using the rule (x − 3, y + 6). Rotate circle A 180° about the center.
Answer:
Divide and then multiply the smaller ratio to get an equal ratio to the first one
Step-by-step explanation:
It helps a lot with algebra
Answer:
Dilate circle A by a scale factor of 3.
Step-by-step explanation:
In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D
HEY CAN ANYONE PLS ANSWER DIS!!
Answer:
Option C
Step-by-step explanation:
Use the property to convert each expression from exponent form to radical form.
[tex](a)^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
a). [tex](b)^{\frac{4}{5}}=(b^4)^\frac{4}{5}[/tex]
[tex]=\sqrt[5]{b^4}[/tex]
b). [tex](8x)^\frac{2}{3}=[(8x)^2]^\frac{1}{3}[/tex]
[tex]=[64x^2]^\frac{1}{3}[/tex]
[tex]=[(4)^3x^2]^\frac{1}{3}[/tex]
[tex]=(4^3)^\frac{1}{3}(x^2)^\frac{1}{3}[/tex]
[tex]=4(x^2)^\frac{1}{3}[/tex]
[tex]=4\sqrt[3]{x^2}[/tex]
Therefore, Option C will be the answer.
pls help with this simple question
Answer:
F. 625
Step-by-step explanation:
625 times 2
= 1256
round it to
= 1250
Hope this Helps
Have a nice day
Find the area of the figure.
Answer:
25Step-by-step explanation:
[tex]A=6\cdot7-\frac12\cdot4\cdot4-2\cdot(\frac12\cdot3\cdot3)=42-8-9=25[/tex]
Please help and give an explanation on how to find the value of x
Answer:
x = 30
2x =60
Step-by-step explanation:
the angle is a right angle- so that means it’s a 90 degree angle
so let’s set up an equation..
We get 90 degrees when we add 2x Plus x
So 2x + x = 90
then, 3x = 90
x= 30
you Can check your Answer by:
Do 2 times 30 = 60
and then 60+ 30
you will Get 90
Can somebody please help me with this, I like actually don't know.
Write this out as an algebraic expression
6 times the sum of r and 9
answer:
make sure to write "x" not as a variable
Step-by-step explanation:
6 x r + 9
Answer:
6(r+9)
Step-by-step explanation:
A number outside of a parenthesis is the symbol for multiplication.. so..
6(
"Sum" is the vocabulary used for "the answer you get after adding"
so.. you have to add..
6(r+9)
and close the parenthesis of course.:)
a box contains 44table tennis balls having same shape and size.Among them 33 are black and remaining balls are red .two balls are drawn randomly one after another without replacement show the probability of all posible outcomes in a tree diagram.
Answer:
The probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.
Step-by-step explanation:
Given that a box contains 44 table tennis balls having the same shape and size, and among them 33 are black and remaining balls are red, if two balls are drawn randomly one after another without replacement, to show the probability of all possible outcomes the following calculations must be done:
Red + red:
11/44 + 10/43 = 0.25 x 0.2325 = 0.0581
Red + black:
11/44 + 33/43 = 0.25 x 0.7674 = 0.1918
Black + red:
33/44 + 11/43 = 0.75 x 0.2558 = 0.1918
Black + black:
33/44 + 32/43 = 0.75 x 0.7441 = 0.5581
19.18 x 2 = 38.36
Therefore, the probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.
Which set of ordered pairs represents y as a function of x?
O {(-4, 0),(-2,2).(-4,-2), (-2, 4),(-4, - 4)}
{(0,4), (1,7),(1,10), (2, 13), (3, 16)}
{(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
{(3, 3), (-1,-1),(-2,-2), (4,4),(-4,-4)}
I need the answer ASAP!!!
if 5 men can finish a piece of work in 10 days, how many men can finish the same work in a day?
Answer:
50.
Step-by-step explanation:
I hope that this helped!!!
ASAP ILL GOVE 10 POINTS
Ashwin has equal numbers of classical songs and pop
songs loaded on his personal music player. He has it set to
play songs on a random shuffle. Suppose Ashwin is
designing a simulation that could be used to estimate the
probability that the next three songs to play are all pop
songs
Which simulation design could Ashwin use to estimate the probability?
A Number cube
Let 1 = classical
Let 2 = pop
Ro
be three times. Repeat
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
C. Random digits
Let 1. 2. 3 classical
Let 4, 5,0 = pop
Select three random digits. Repeat
D. Random digits
Let 1, 2, 3, 4,5 = classical
Let 6, 7, 8, 9 pop
Answer:
B
Step-by-step explanation:
Took the test on AP3X
Answer:
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
Step-by-step explanation:
Test approved
Circle has equation x^2+y^2=36
Radius=6
Centre=(0,0)
The distinct point A(a,root11) and B (b,root11) lie on the circumference of the circle. Work out the length AB
What is the y intercept of the line that passes through the points (-2,4) and (-1,7) ?
Answer: (0,10)
Step-by-step explanation:
Isabel has a basket of fruit with 3 apples, 6 bananas, 5 oranges, 4 pears, and 2 peaches. She wants to share the fruit with 4 of her friends. How many pieces of fruit will each person get?
Answer:
15/182
Step-by-step explanation:
the 1st one is 5/14 and the 2nd one is 3/13
5/14*3/13 = 15/182
3. Let x = - and y =
0
Select all the expressions that have a positive value.
A. X. y
B.
D. x+y
EX - y
F. y - x
Answer:
answer is d
Step-by-step explanation:
angle A and angle B are complementary angles. If m angle A = (x-16)degrees and m angle B = (3x+28)degrees, then find the measure of angle A
Answer:
[tex]4x \times 448[/tex]
Step-by-step explanation:
A=
[tex]a = (x - 16)[/tex]
[tex]b = (3x + 28)[/tex]
So you add :
[tex]x \: and3x[/tex]
To get
[tex]4x[/tex]
Then you do :
[tex]16 \times 28[/tex]
To get :
[tex]448[/tex]
Answer is :
[tex]4x \times 448[/tex]
This histogram represents a sampling of recent visitors to the mall on a Friday night, grouped by their ages.
In which interval is the median located?
40-49
30-39
20-29
10-19
Answer:
20 - 29
Step-by-step explanation:
Please find the complete question in the attached image
An histogram is a bar-like graph used to represent numerical data. On the y-axis is the frequency of the data and on the x-axis is the data
median is a measure of central tendency. It measures the middle number in a set of observation
there are 20 observations (visitors),
1, 2, 3,5,6, 7, 8, 9,| 10, 11, | 12,13,14,15,16,17,18,19,20
the median is 10 and 11 or 10.50
there are 9 numbers on either sides of 10 and 11
the 10th and 11th visitor would be found in the age group 20 - 29
Please help i dont know which one
Answer:
A. 72π m^3
Step-by-step explanation:
The radius of the cone would be half the diameter, or 6m.
The formula for the volume of a cone is:
V= (πr^2h) / 3
We can substitute what we have:
V = (π * (6)^2 * 6 )/ 3
V = (216 π) / 3
V = 72π m^3
Mr chow is buying rolls of paper for the school. This is a lost of the suppliers, the size of their rolls, and their cost per roll. supplier x sells 25 meter rolls for 18.98, supplier y sells 30 meter rolls for 21.89, supplier z sells 40 meter rolls for 29.59 to the nearest cent what is the cost per meter for a roll of paper from the least expensive supplier
Answer:
0.73
Step-by-step explanation:
cost per meter for a roll of paper = total cost / total meter of rolls sold
Supplier x = 18.98 / 25 = 0.76
Supplier y = 21.89 / 30 = 0.73
supplier z = 29.59 / 40 = 0.74
the lowest per unit cost is 0.73
I need help! would appreciate it
Answer:
X is about 58.41 degrees
Step-by-step explanation:
For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.
Therefore, with the equation for sine, we would get
sin(x) = 23/27
sin(x) = 0.851
Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.
x = sin-1 23/27
Last, use a calculator to get the answer.
X is about 58.41 degrees
If i = V-1, then (3 – i)(3+ i) =
Which number is the c losest approximation of v39?
o 6.2
o 6.5
o 7.5
o 7.7
Answer:
6.2 would be ur awnser ( mark as best awnser
What is the slope of y = −4x + 5?
i. 4 ii. 5 iii. − 4 iv. 4/5
Compare to the slope intercept form of line y=mx+b
Slope
m=-4Hence slope is -4
The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?
A. 6/9
B. 1/9
C. 1
D. 2/3
E. 1/6
Answer: The probability of it is 1/6
Step-by-step explanation:
5*x/2 = x>7
Answer this please
Answer:
5x - 2 = 7
5x = 7 + 2
5x = 9 (divide both sides by 5 to get x)
5x/5 = 9/5
x = 1.8
Step-by-step explanation:
Please help! ! ! 10 points !!
Answer:
the factor is 2 because 7x2 is 14 and 3x2 is 6
HELP ME NOW I NEED HELP
Zeros:
x = -11
x = 11
Positive zero: 11
Can somebody help me out my grade are bad
Answer:
3, 2, 6
Step-by-step explanation:
from left, top, and bottom
Answer:
2/6
Step-by-step explanation:
Convert 1/2 to something similar to 1/6
1 times 3 is 3
2 times 3 is 6
so now do 3/6 -1/6
Dont change the denominator at all, just subtract the numerator. By doing that you get 2/6
find the value of x, y, and z
Answer:
B
Step-by-step explanation:
The diagonals of a rhombus are at right angles to each other, then
∠ 1 = ∠ 2 = ∠ 3 = 90° so
10x = 90 ( divide both sides by 10 )
x = 9
x + y = 90
9 + y = 90 ( subtract 9 from both sides )
y = 81
9z = 90 ( divide both sides by 9 )
z = 10