Answer:
Equation of line is y = -8x + 21
Step-by-step explanation:
Slope, m = -8
General equation of line:
[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]
At point (2, 5), y = 5 and x = 2:
[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]
Therefore:
[tex]{ \sf{y = - 8x + 21}}[/tex]
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE ANSWERING THE QUESTION!!
A data set with less variation will have a smaller ____________________.
A. minimum
B. median
C. mean
D. interquartile range
Answer:
c. mean
Step-by-step explanation:
the data set that has less variation will have smaller distribution over a large area or variation measures.
Answer:
D. Interquile Range
Step-by-step explanation:
The datasets that have less variation are those that have smaller dispersion or variation measures.
Some of these measures of variance are variance, standard deviation, mean absolute deviation, range and interquartile range. Among the options shown, the only one that is used as a measure of variation is the interquartile range. The interquartile range is the difference between the third quartile and the first quartile of a data distribution. In other words, the interquartile range measures the range between the central 50% of the data.
Which angle in ABC has the largest measure?
A.
B.
C.
D. Cannot be determined
Answer:
< B has the largest angle measure.
as it is opposite to longest side of triangle.
HELP NOW - Please help me
100 POINTS
Answer:
SAS
43ft
Step-by-step explanation:
We know that two sides are equal
PQ = ST and QR = TU and the angle between them is equal Q = T
We can use the SAS (side angle side)
Since the triangles are congruent
PR = SU
6y+5 = 8y
Subtract 6y from each side
6y+5-6y = 8y-6y
5 = 2y
Divide by 2
5/2 = y
2.5 = y
PR = ST = 8y = 8(2.5) =20
The perimeter is 9+14+20 = 43
Answer:
B. =35ft
Step-by-step explanation:
The perimeter of a right angled triangle is a+b+c
which is 9+4+6y+5 =90
collect like terms
9+4+5+6y=90
18 + 6y = 90
6y = 90 - 18
6y= 72
divide both sides by 6
6y/6 = 72/6
y = 12
so therefore, the perimeter of ∆PQR is
9 + 12 + 14
= 35ft
ZA and ZB are vertical angles. If m_A = (7x– 20)° and m_B = (6x – 1)º,
then find the measure of ZA.
[tex]\\ \sf\longmapsto 7x-20=6x-1[/tex]
[tex]\\ \sf\longmapsto 7x-6x=-1+20[/tex]
[tex]\\ \sf\longmapsto x=-19[/tex]
Now
[tex]\\ \sf\longmapsto m<A=7x-20=7(-19)-20=133-20=113[/tex]
9. Write an equation in slope intercept form that
passes through (6,2) and (-3.0)
Answer:
y = -2/9x+2/3
Step-by-step explanation:
First find the slope
m= (y2-y1)/(x2-x1)
= (0-2)/(-3-6)
= -2 /-9
2/9
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 2/9x+b
Using the point -3,0
0 = 2/9(-3) +b
0 = -2/3+b
b = 2/3
y = -2/9x+2/3
HELP PLEASE NEED ASAPPP What is the value of the expression below?
Answer:
-62
Step-by-step explanation:
2 (32- (4 -1)^3 )
2 {32 - [tex](4-1)^{3}[/tex]}
2{ 32 - ([tex]4^{3}[/tex] - [tex]1^{3}[/tex])}
2 { 32 - ( 64 - 1 ) }
2 { 32 - 63)
2 ( -31)
-62
Answer:
10
Step-by-step explanation:
Given
2 [ 32 - (4 - 1)³ ] ← evaluate parenthesis
= 2 [ 32 - 3³ ] ← evaluate exponent
= 2 [ 32 - 27 ] ← evaluate bracket
= 2 × 5
= 10
Suppose a shoe company estimates that its monthly cost is
C(x) = 300c2 + 200c and its monthly revenue is
R(x) = -0.5x3 + 900x2 – 500x + 400, where x is in thousands of pairs
of shoes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
O
A. P(x) = -0.5x3 + 600x2 – 700x + 400
B. P(2) = -0.5x3 + 1200x2 – 300x + 400
O C. P(x) = 0.523 + 60022 – 700.0 + 400
O D. P(x) = 0.523 – 600x2 + 700x – 400
PREVIOUS
I
Answer:
Hello,
Answer B
Step-by-step explanation:
[tex]C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\[/tex]
What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?
Given three different prime numbers [tex]p_1 \ \ ; \ \ p_2[/tex] and [tex]p_3[/tex] satisfy equation [tex]p_1+p_2+p_3=202[/tex] . Find the maximum value of
[tex]\pmb {p_1 \times p_2\times p_3=?}[/tex]
Answer:
19982Step-by-step explanation:
As we know all primes but 2 are odd numbers.
It means sum of any 3 primes not including 2 is odd.
Since we have sum of 202, one of our primes is 2.
Sum of the other two primes is 200.
In order to have maximum value of p*(200 - p) these two numbers must be closer to each other. So we are looking for two primes around 100.
We can test all primes less than 200:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, and 199The 3 primes with max product are:
2, 97, 103The value is:
2*97*103 = 19982Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Easton to end up with $420?
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:
[tex]340(x)^{32}=420[/tex]
We can divide 340 from both sides, and simplify the right side to 21 divided by 17:
[tex]x^{32}=\frac{21}{17}[/tex]
Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.
Can someone help me on this please
Answer:
x = 2
Step-by-step explanation:
[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]
lowkey need help with this.
9514 1404 393
Answer:
c = 14
no extraneous solutions
Step-by-step explanation:
You can subtract the right-side expression, combine fractions, and set the numerator to zero.
[tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]
__
Check
(14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c
10/12 = 12/16 -1/-12
5/6 = 3/4 +1/12 . . . . true
There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.
(4*10^4)+(6*10^2) Standard form
Answer:
40600
Step-by-step explanation:
(4 * 10^4) + (6 * 10^2) =
= 4 * 10000 + 6 * 100
= 40000 + 600
= 40600
Answer:
4.06 x 10^4
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A. 314 in^3
Step-by-step explanation:
To solve the volume of a cone:
[tex]v = \pi r^2\frac{h}{3}[/tex]
+
50°
50°
PLEAE help
The answer will be 80 degrees
Step-by-step explanation:
50 +50 + x = 180 (Angle sum property of a triangle)
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°[tex] \rm \large \rightarrow \: \: x \: + \: 50 \degree \: + \:50 \degree \: = \: 180 \degree[/tex]
[tex] \rm \large \rightarrow \: \: x \: + \: 100 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large \rightarrow \: \: x \: = \: 180 \degree \: - \: 100 \degree[/tex]
[tex]\rm \large \rightarrow \: \: x \: = \: 80 \degree[/tex]
What is the difference between-5and2
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
Two numbers are in the ratio of 2:5 and the bigger number is 30. Find the smaller number
Answer:
12
Step-by-step explanation:
let the no. be 2x and 5x
5x=30, x=6
therefore 2x= 2*6= 12
hope it helps
The value of the smaller number is, 12
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Two numbers are in the ratio of 2:5 and the bigger number is 30.
Now, The ratio of numbers are,
2x and 5x
Here, the bigger number is 30.
Hence,
5x = 30
x = 6
Thus, The value of the smaller number is,
2x = 2 × 6 = 12
Learn more about the ratio visit:
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Identify a transformation of the function f(x)
x2 by observing the equation of the function g(x) = (x - 6)^2
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = (x - 6)²
The base graph has been shifted right 6 units
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 1.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 12 centimeters and the area is 99 square centimeters
Answer:
A = 1/2 B H area = 1/2 base X height
B = 2 A / H = 2 * 99 / 12 = 16.5 cm
dA / d t = 1/2 * (B dH / dt + H dB / dt)
dB / dt = (2 dA / dt - B dH / dt) / H
dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm
dB / dt = (3 - 33) / 12 cm/min = -2.5 cm/min
The vertex of the angle below is the center of the circle. Find n if n% of the circle is shaded. Give your answer as a mixed fraction.
Answer:
33 1/3 %
Step-by-step explanation:
120degree is shaded
There are 360 degrees in a circle
120/360
1/3
.33333
33 1/3 %
Express as a trinomial.
(x + 9) (3x + 9)
Answer:
3x^2+36x+81
Step-by-step explanation:
(x+9)(3x+9)=3[tex]x^{2}[/tex] +9x+37x+81
⇛(x + 9) (3x + 9)
⇛x(3x+9) + 9(3x+9)
⇛3x² + 9x + 18x + 81
⇛3x² + 27x + 81
[tex]integrate \: ln(x) [/tex]
Answer:
ln(x) = 1/x... It's a basic rule of Calculus.
which is the solution to this system of equations?
x + y = 3
x - y = -3
A. (3,0)
B. (0,3)
C. (0,6)
D. (0,-3)
x+y,=3
x_y=-3
A.,(0,3)
B. (0,3)
C. (0,6)
D. (0 _3)
The average of four different positive integers is 9. What is the greatest value for one of the integers?
From the given information; Let the unknown different positive integers be (a, b, c and d).
An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.
Suppose we make an assumption that (a) should be the greatest value of this integer.
Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.
Therefore, the average of this integers = 9
Mathematically;
[tex]\mathbf{\dfrac{(a+b+c+d)}{4} =9}[/tex]
[tex]\mathbf{\dfrac{(a+1+2+3)}{4} =9}[/tex]
[tex]\mathbf{\dfrac{(6+a)}{4} =9}[/tex]
By cross multiplying;
6+a = 9 × 4
6+a = 36
a = 36 - 6
a = 30
Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.
Learn more about integers here:
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The greatest value for one of the four positive integers is 30.
To find the largest positive integer, you have to minimize the other three positive integers.
The least three different positive integers available = 1, 2, 3let the largest positive integer = ythe sum of the four different positive integers = 1 + 2 + 3 + y = 6 + yFind the average of the four positive integers and equate it to the given value of the average.
[tex]\frac{6 + y}{4} = 9\\\\6+ y = 36\\\\y = 36-6\\\\y = 30[/tex]
Thus, the greatest value for one of the positive integers is 30
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X is less than or equal to 1
Answer:
x is less than or equal to 1 can also be written as x ≤ 1. The ≤ sign represents "less than or equal to"
Let me know if this helps!
2^2+ 3^2 - 4^2
Simplify using the order of operation
Answer:
[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]
I hope it helped U
stay safe stay happy
Answer:
-3
Step-by-step explanation:
[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + 9 - {4}^{2} [/tex]
[tex] = 4 + 9 - 16[/tex]
[tex] = - 3[/tex]
Convert the following equation into slope intercept form. -5x + y = 2 y = ?x + ?
Answer:
5, 2
Step-by-step explanation:
hope u got it.........
Answer:
y = 5x + 2
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
- 5x + y = 2 ( add 5x to both sides )
y = 5x + 2 ← in slope- intercept form
Please help its due in 30 minutes will mark braniliest
Answer:
Point A, B, and C are collinear points.
Step-by-step explanation:
When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.
3x+1/x^(2)-1=2/x-2+x/x-1
Answer:
x = 0 and 3 other real roots. See below.
Step-by-step explanation:
This is what you wrote:
[tex] 3x + \dfrac{1}{x^2} - 1 = \dfrac{2}{x} - 2 + \dfrac{x}{x} - 1 [/tex]
I don't think that is what you meant to write.
I think you meant to write this:
[tex] 3x + \dfrac{1}{x^2 - 1} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]
I'm going to answer the second equation because that is what I think you meant.
[tex] 3x + \dfrac{1}{(x - 1)(x + 1)} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]
[tex] 3x(x - 1)(x + 1)(x - 2) + (x - 2) = 2(x - 1)(x + 1) + x(x + 1)(x - 2) [/tex]
[tex] (3x^2 - 6x)(x^2 - 1) + x - 2 = 2x^2 - 2 + x(x^2 - x - 2) [/tex]
[tex] 3x^4 - 3x^2 - 6x^3 + 6x + x - 2 = 2x^2 - 2 + x^3 - x^2 - 2x [/tex]
[tex] 3x^4 - 7x^3 - 4x^2 + 9x = 0 [/tex]
[tex] x(3x^3 - 7x^2 - 4x + 9) = 0 [/tex]
[tex] f(x) = 3x^3 - 7x^2 - 4x + 9 [/tex]
[tex] f(-3) = -123 [/tex]
[tex] f(-2) = -35 [/tex]
[tex] f(-1) = 3 [/tex]
[tex] f(0) = 9 [/tex]
[tex] f(1) = 1 [/tex]
[tex] f(2) = -3 [/tex]
[tex] f(3) = 15 [/tex]
One root is x = 0.
There is a root between x = -2 and x = -1.
There is a root between x = 1 and x = 2.
There is a root between x = 2 and x = 3.
Plot the graph of f(x) = 3x^3 - 7x^2 - 4x + 9 and try to read the other three roots.
