Answer:
y = [tex]\frac{-8}{3}[/tex]x + [tex]\frac{62}{3}[/tex]
Step-by-step explanation:
Use slope formula.
then substitute slope for m in y = mx + b
pick a set of coordinates and substitute them in for x and y.
Solve for b
Answer:
[tex]y=-\frac{8}{3}x+\frac{62}{3}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,2) and (10,-6)
[tex]m=\frac{2-(-6)}{7-10}\\m=\frac{2+6}{7-10}\\m=\frac{8}{-3}[/tex]
Therefore, the slope of the line is [tex]-\frac{8}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{8}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{8}{3}x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=-\frac{8}{3}(7)+b\\2=-\frac{56}{3}+b[/tex]
Add [tex]\frac{56}{3}[/tex] to both sides to isolate b
[tex]2+\frac{56}{3}=-\frac{56}{3}+b+\frac{56}{3}\\\frac{62}{3}=b[/tex]
Therefore, the y-intercept is [tex]\frac{62}{3}[/tex]. Plug this back into [tex]y=-\frac{8}{3}x+b[/tex]:
[tex]y=-\frac{8}{3}x+\frac{62}{3}[/tex]
I hope this helps!
5. Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
b. If the regular price of an item is x dollars, what is the discount price in dollars?
C. The discount price of a hat is $18. What is the regular price?
Answer:
Step-by-step explanation:
20% = 20/100 = 0.2
The amount you need to pay for a T shirt is
Cost = original amount(100% - 20%)
Original amount = 18
100% - 20% = 80%
80% = 80 / 100 = 0.8
What this means is that you will pay 80% of the original cost.
Cost = 18*0.8
Cost = $14.40
Part B
Cost = 0.8 * x
Part C
Selling price = 0.8*Original Cost
Selling price = 18
18 = 0.8 * x
18/0.8 = x
x = 22.5
The original price was $22.50
Helppppppppppppppppp
URGENT!!!!!
What is the value is x?
A. 5.375
B. 5.5
C. 11
D. 13
Answer:
value of x is B 5.5
Step-by-step explanation:
B 5.5 value of X
Answer:
b 5.5
Step-by-step explanation:
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
Answer:
-x^2+2x-3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
-x^2+2x-3
Answer:
The fourth answer
Step-by-step explanation:
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
The fourth answer
Surface area of rectangular prism length 6 in., width 5 in., height 12 in.
The surface area is 324
Answer:
The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for surface area of a rectangular prism is this :
A = 2(wl + hl + hw)
l = 6, w = 5, h = 12.
Now knowing these values, we can solve for A.
A = 2(wl + hl + hw) = 2(5 · 6 + 12 · 6 + 12 · 5) = 324
The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest. Have a great day!
The probability that a male professional golfer makes a hole-in-one is 1/2780. Suppose 36 professional male golfers play the sixth hole during a round of golf. Let the random variable X be the number of golfers in the group of 36 who make a hole-in-one. Calculate the probability that exactly four of the 36 golfers make a hole-in-one on the sixth hole – as actually happened during the 1989 U.S. Open
Answer:
The right solution is "[tex]9.7\times 10^{-10}[/tex]".
Step-by-step explanation:
According to the question,
The probability that male professional golfer makes hole in one will be:
[tex]P=\frac{1}{2780}[/tex]
Number of players,
n = 36
and,
[tex]q=1-P=\frac{2779}{2780}[/tex]
By using the Binomial theorem, we get
⇒ [tex]P(x=r) = \binom{n}{r} p^r q^{n-r}[/tex]
Bu substituting the values, we get
[tex]=\binom{36}{4} (\frac{1}{2780} )^4 (\frac{2779}{2780} )^{32}[/tex]
[tex]=9.74929\times 10^{-10}[/tex]
or,
[tex]=9.7\times 10^{-10}[/tex]
three factors of 24 which have a sum of more than 37 and less then 40
Answer:
8, 6, 24 because 8+6+24=38
Answer:
24+12+2=38
Step-by-step explanation:
Given the function
f (x) = 3x2 + 2x – 5, what is the value of f(10)?
Answer:
315
Step-by-step explanation:
x = 10, so substitute 10 into the equation!
3(10)² + 2(10) - 5
3(100) + 20 - 5
300 + 20 - 5
315
A chessboard is a square that has 8 rows and 8 columns of square spaces. If the side of a square space is 3.25 inches long, what is the area in square inches of the chessboard?
Answer:
676 square inches
a = L²
It has been established in the question that the length and the width of the chessboard has 8 rows an 8 columns respectively
length = with
rows = columns
8 × 3.25 = 26inches
AREA = L²
A = 26²
A = 676 square inches
The area in square inches of the chessboard given the side length of a square space is 676 inches².
What is the area of the chessboard?
A square is a quadrilateral with four equal sides.
The first step is to determine the area of a square space.
Area = length²
3.25² = 10.56 in²
The second step is to multiply the area of the square space by the number of squares.
8x 8 x 10.56 = 676 inches².
To learn how to determine the area of a square, please check: https://brainly.com/question/9030544
1. Sharon is a good student who enjoys statistics. She sets a goal for herself to do well enough compared to her peers so that her standardized score on her Statistics final is equal to her percentile rank (written as a decimal) among her classmates. What goal did she set for herself
The available options are:
(A)0.25
(B)0.78
(C)1.09
(D)2.25
(E)2.41
Answer:
(B)0.78
Step-by-step explanation:
Given the fact that percentile rank is usually between 0 to 100. Hence, considering the available options, the 100th percentile would be converted to 1.0 when representing the percentile into decimal places.
Since it is logically and mathematically impossible to go beyond the 100th percentile, hence, the option C, D, and E are wrong.
Also, since Sharon hoped to get a score well enough compared to her peers, then the correct answer is 0.78 which can be translated to 78 percentile. Because 0.78 is a better score than 0.25 or 78 percentile is better than 25 percentile because 78 percentile means she scored better than 78 percent of all the test takers.
Hence, the right answer is in this case is 0.78
Given the expenses below, what is the yearly total of estimated expenses? Rent: $1,380 per month; Transportation: $405 per month; Clothing: $643 per year, Food: $65 per
week; Savings: $90 per week; Utilities: $395 per month; Recreation/Entertainment: $80 per week
$34,876
$35,457
$36,995
$39,023
None of these choices are correct.
Answer:35457$
Step-by-step explanation:
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Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.
Performance 59 63 65 69 58 77 76 69 70 64
Attitude 72 67 78 82 75 87 92 83 87 78
Be sure to use the appropriate explanatory and the appropriate response variable.
a. y = 92.3 - 0.669x
b. y = 100.3 - 0.453x
c. y = 11.7 + 1.02x
d. y = 2.81 + 1.35x
e. y = -47.3 + 2.02x
Answer:
The answer is "choice c".
Step-by-step explanation:
Below, we shall find the line equation, dissociation for both the management's behavior and achievement.
Here, attitudes are the response variable while performance seems to be the predictor as attitude is achievement dependant.
If Y indicates the attitude while X relates to workers' performance.
Let's describe the data like:
[tex]y=a+bx+e[/tex]
Now we get the estimates of e via the least quadratic method, – i.e., by reducing the number of segments.
[tex]S=\sum e_{i}^{2}=\sum {(y_{i}-a-bx_{i})^{2}}[/tex]
minimize S to obtain the estimates of a and b as:
[tex]\hat{b}=\frac{\sum{(y_{i}-\bar{y})(x_{i}-\bar{x})}}{\sum{(x_{i}-\bar{x})^{2}}}\\\\\hat{a}=\bar{y}-\hat{b}\bar{x}[/tex]
So,
[tex]a=11.7b=1.02[/tex]
Equation:
[tex]Y=11.7+1.02x[/tex]
The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?
Answer:
17 cm
Step-by-step explanation:
Rectangle perimeter: length*2 + width*2
Substitute width with "x".
Length is given as 15 cm
Perimeter is given as 64 cm
Plug in the values and solve for x.
64 = 2*15 + 2x
64 = 30+2x
2x = 34
x = 17
so width is 17 cm
Matthew is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, and a history textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
I think he can line them up a total of 6 times?
Answer:
6
Step-by-step explanation:
Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)
9514 1404 393
Answer:
more than 410
Step-by-step explanation:
For x miles, the second plan costs ...
p2 = 50 +0.25(x -250)
For the first plan to be cheaper requires ...
p1 < p2
90 < 50 +0.25(x -250)
40 < 0.25(x -250) . . . . . . subtract 50
160 < x -250 . . . . . . . divide by 0.25
410 < x . . . . . . . . . add 250
For more than 410 miles in one day, the unlimited plan would save money.
use inverse operations to solve the following equations HELP NOW!!!!
Factor.
x*2+11x+28
please give me the answer
Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+11x+28
What two numbers multiply to 28 and add to 11
4*7 =28
4+11
(x+4)(x+11)
Answer:
(x + 4)(x + 11)
I agree with wegner
bye
If y varies inversely as the square root of x, what is the constant of proportionality if y = 16 when x = 4?
pls I need this last question someone help
Answer:
n= 2x-6y
Step-by-step explanation:
So we might look at this and have an immediate panic attack, but if there is one thing we might look to to help us, it would be logarithms. Logarithms have many wonderful properties that will help us solve this equation. Let's get started:
1. This is the starting equation. [tex](2^{\frac{1}{2} } )^{n} =\frac{2^x}{8^y}[/tex]
2. Let's use the power to power rule on the left and multiply 1/2 by n:
a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]
3. Next, lets take the log of both sides and use the properties of logarithms:
a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]
b. [tex]log(2^{\frac{1}{2}n }) =log(\frac{2^x}{8^y})[/tex]
c. One property we are allowed to use is bringing down the exponent on the left, and another property we can use is when you have the log of a fraction, that is the same thing as the log(numerator)-log(denominator)
d. [tex]\frac{1}{2}n *log(2) =log(2^x)-log(8^y)[/tex]
e. After we do this, we can use the same property of bringing down the exponent on the right side:
f. [tex]\frac{1}{2}n *log(2) =x*log(2)-y*log(8)[/tex]
g. After this, because log(2) and 1/2 are both numbers and are multiplied by n, we can divide them from both sides, and simplify:
h. [tex]\frac{1}{2}n =\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
i. [tex]2(\frac{1}{2})n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
j. [tex]n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
k. After this, we must simplify the fraction because log(2)/log(2)=1, and log(8)/log(2)=3, these are both because 2^1=2 and 2^3=8 respectively:
l. [tex]n =2(\frac{x*log(2)}{log(2)}-\frac{y*log(8)}{log(2)} )[/tex]
m. Lastly, let's cancel and distribute:
n. [tex]n =2(x-3y)[/tex]
o. [tex]n=2x-6y[/tex]
help me and I’ll give you brainliest
Answer:
1. (5)(8) = (4)(x)
Step-by-step explanation:
We have two chords intersecting each other.
Intersecting chords theorem states that when two chords cut each other, the product of the segments of one is equal to the product of the segments of the other.
Therefore, we would have:
(5)(8) = (4)(x)
Which number is closest to zero on the number line?
Answer:
the answer is .5 I think I'm sorry if I'm wrong
According to the table below, what is the probability that the grade of a student chosen at random will be a B or higher? Grade A B с D F 4 Probability 2 35 3 35 17 35 9 35 35 3 OA. B. 7 Oc. VIN O D. / SUBMIT
Answer:
1 / 7
Step-by-step explanation:
Given the distribution above :
P(grade B or higher) can be defined explicitly as :
P(Grade A) + P(Grade B)
P(grade A) = 2/35
P(Grade B) = 3 / 35
Hence,
P(Grade B or higher) = 2/35 + 3/35 = 5/35 = 1/7
If the distance from C to C’ is 8 and the scale factor is 5. What is the distance from A to C?
A. 8/5
B. 5/8
C. 10
D. 2
I NEED HELP!! THIS MY FINAL!
Answer:
13.5
18.1
72.2
12.8
6,2
66.1
49.1
14
31.8
Step-by-step explanation:
In solving this question, remember the annotation SOHCAHTOA
1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value
Cos 26 = Adjacent / hypotenuse
cos 26 = x / 15
x / 15 =0.8988
x = 15 x 0.8988 = 13.5
2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value
Sin = opposite / hypotenuse
sin 49 = x / 24
0.7547 = x / 24
x = 0.7547 x 24
x = 18.1
3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value
Tan = opposite / adjacent
tan 14 = 18 /x
18 / 0.2493 = 72.2
4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value
cos 67 = opposite / hypotenuse
0.3907 = 5/x
x =5/ 0.3907 = 12.8
to determine the missing angle
7. tan^-1 = opposite / adjacent
8. cos^-1 = adjacent / hypotenuse
9 = sin^-1 = opposite / hyotensue
Graph the image of parallelogram EFGH after a translation 9 units left and 1 unit up.
Answer:
Kagat at himud is here to help you
need help with this math problem
Answer: D) The value of [tex]\sqrt{215}[/tex] is between 14.5 and 15
Step-by-step explanation:
Let's start by taking the squaring these numbers.
[tex]13^2=169\\13.5^2=182.25\\14^2=196\\14.5^2=210.25\\15^2=225[/tex]
215 is in between 14.5 squared and 15 squared. That means its square root will be between 14.5 and 15.5
What is the domain of the function y= sqrt x
- infinity < x< infinity
0
0
1 x
Step-by-step explanation:
I don't see really the actual answer options (you made a bad copy here).
so, I can only tell you what it is in my own terms and you need to associate to the actual answer option.
based on real numbers (not complex or imaginary) we cannot use the square root function on negative numbers.
the domain defined what values can be used for x.
so,
0<= x < +infinity
Answer: c
Step-by-step explanation: just took it
If y varies directly as x and y = 9 when x = –3, find y when x = 40.
Answer:
y = -120
Step-by-step explanation:
Direct variation is
y = kx where k is a constant
9 = k(-3)
Divide each side by -3
9/-3 = k
-3 = k
y = -3x
Let x = 40
y = -3(40)
y = -120
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
https://brainly.com/question/16315840
https://brainly.com/question/13156698
what type of angle is this?
Answer:
obtuse angle
Step-by-step explanation:
