Step-by-step explanation:
my guess it's 4
(x+7) (x-3)
The value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
It is given that:
[tex]f(x) = x^2 -2x - 24[/tex]
and [tex]f(x+3) = x^2 + kx - 21[/tex]
Putting x = x+3 in the definition of f(x), we get:
[tex]f(x+3) = (x+3)^2 -2(x+3) -24\\\\f(x+3) = x^2 + 6x + 9 -2x -6 - 24\\\\f(x+3) = x^2 + 4x -21[/tex]
Comparing it with [tex]f(x+3) = x^2 + kx - 21[/tex], we see that k is having value as 4 for the considered function.
Thus, the value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
which of the following differential equations have x^2-4y^2=8 as a solution?
a) dy/dx = 4xy
b) dy/dx = 4x/y
c) y dy/dx = x/4
d) dy/dx = -x/4y
Answer:
B
dy/dx = 4x/y
Sorry if it's wrong!
Find the perimeter of the rectangle
I don’t understand this someone explain
Answer:
38cm
Step-by-step explanation:
12.6 x 2= 25.2
6.4 x 2= 12.8
25.2 + 12.8= 38
Which of the segments below is a secant?
A. BO
B. BC
C. AO
The segment BD is secant in the circle. Then the correct answer is option D.
What is a secant?A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. A chord is in a unique secant line and every secant line defines a unique chord.
Here we can see in the circle segment BD is passing at two points from the circle. Then BD is the secant of the circle.
Hence, the correct answer is option D.
The complete options are given below:-
A. BO
B. BC
C. AO
D. BD
To know more about secant follow
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Answer:
Option A (BD)
Step-by-step explanation:
i liddly just finished it ang got it right
A right cylinder has a height of 8 inches and a volume of 100 cubic inches. Which measurement is closest to the radius, in inches, of the cylinder? B. C. 16 D. 50
Answer:
A
Step-by-step explanation:
volume of a cylinder:
[tex]V=\pi r^2h[/tex]
where r = radius and h = height
We are given the volume (V) and the height (h) and we need to find the radius (r).
To find the radius we are going to want to plug in the given values into the formula for volume of a cylinder and solve for r
so, * plug in given values *
[tex]400= \pi r^28[/tex]
Now we solve for r
step 1 take the square root of each side
[tex]\sqrt{400} =20\\\sqrt{\pi r^28} =\sqrt{\pi } 4*r\\[/tex]
now we have [tex]20=\sqrt{\pi } 4*r[/tex]
step 2 divide each side by sqrt (π) 4
[tex]\frac{20}{\sqrt{\pi } 4} =3.989 \\\\\frac{\sqrt{\pi } 4*r}{\sqrt{\pi } 4}=r\\[/tex]
we're left with r = 3.989
Finally we round to the nearest whole number and get that the answer is A.4
Help I need this rn like rnnnnnn!!!!
Answer:
g
Step-by-step explanation:
youre welcome
the original price - $82 discount - 10% sale price - ?
Answer:
73.8 dollars.
Step-by-step explanation:
Answer:
$73.80
Step-by-step explanation:
$82.00 - 8.2% = $73.8
Move the decimal 2 spaces to the right --->
$73.80!! :D
Hope this helps!! Have a great day!! :DDD
The radius of a circle is 14 m. Find its area in terms of pi
Answer:
615.44
Step-by-step explanation:
The area of the circle is 196π m².
What is a circle?A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 22/7R = radiusπ14² = 196π m²
To learn more about the area of a circle, please check: https://brainly.com/question/14351152
Use PMT equals StartFraction Upper P (StartFraction r Over n EndFraction )Over [1 minus (1 plus StartFraction r Over n EndFraction )Superscript negative nt ]EndFraction to determine the regular payment amount, rounded to the nearest dollar. The price of a home is $195 comma 000. The bank requires a 20% down payment and three points at the time of closing. The cost of the home is financed with a 30-year fixed-rate mortgage at 10%. Complete parts (a) through (e) below. a. Find the required down payment. $ 39,000 b. Find the amount of the mortgage. $ nothing
Answer:
I think it’s best to ask your teacher
Step-by-step explanation:
Sorry I needed the points
CAN SOMEONE PLEASE HELP ME
Answer:
Scalene
Step-by-step explanation:
It is not right, equilateral, or isosceles.
Find the slope between the following two points.
(-4,0)(5,-8)
Answer:
-8/9.
Step-by-step explanation:
The slope = difference in y-values / corresponding difference in x values
Slope = (-8-0)/(5 - (-4))
= -8/9.
You start at (9, 5). You move right 1 unit. Where do you end? y x 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 ( , )
Answer:
(10, 5)
Step-by-step explanation:
Starting coordinate : (9, 5)
x = 9 ; y = 5
Vertical distance (up and down) = y
Horizontal distance (left and right) = x
Movement to the right = positive
Movement to the left = negative
Hence, 1 unit moved to the right ; x + 1
Therefore ;
(9 + 1, 5)
= (10, 5)
A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the trapezoid?
Answer:
h = 17 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁ , b₂ the parallel bases
Here A = 408, b₁ = 20, b₂ = 28 , then
[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )
48h = 816 ( divide both sides by 48 )
h = 17
Solve the following simultaneous linear equations.
2x + y = 5
4x – 3y = -10
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
Kevin went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What inequality could be used to find g, the greatest number of games Kevin could have played?
A. 4 + 5.25 ≥ 25
B. 9.25 ≤ 25
C. 4 + 5.25 ≤ 25
D. 9.25 ≥ 25
Answer:
25 greater than or equal to symbol 5.25 + 4g
Step-by-step explanation:
i put the upload so you can see!
brainliest?
If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?
A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2
Answer:
C. b = -1, c = -2
Step-by-step explanation:
2 roots: x = -1 and x = 2
(x+1)(x-2) = 0
y = x² - x -2
b= -1 , c = -2
Answer:
The andswer is C b= -1 c=-2
Step-by-step explanation:
I took the quiz!!
A number diminished by 51 is 73.
Answer:
124
Step-by-step explanation:
124 - 51 = 73
Please help for 30 points
Angles 1 and 2 are supplementary. Angle 2 is 1/5 the size of angle 1. What are the degree measurements of each angle?
Answer:
the stated ratio means that of the 180 degrees involving two supplementary angles, the smaller angle is one sixth of that whole. Thus the smaller angle measures 30 degrees & the larger measures 150 degrees.
Step-by-step explanation:
Please help me with my work
Answer:
10
Step-by-step explanation:
a^2 + b^2 = c^2
6^2 + 8^2 = c^2
36+64 = square root of 100
square root of 100 is 10
A regular hexagonal prism has an edge length 11 cm, and height 8 cm. Identify the volume of the prism to the nearest tenth.
Answer:
it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!
Step-by-step explanation:
Answer: V ≈ 2514.9 cm3
Step-by-step explanation:
To find the volume of the prism, first calculate the area of the base.
To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.
The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.
By the definition of tangent, tan 60°=?/5.5.
Solve for ?.
?=5.5 ⋅ tan 60°
Therefore, the apothem length equals 5.5 ⋅ tan 60°.
The area of a hexagonal base.
B=6⋅(12⋅11⋅?)
Substitute 5.5⋅tan60° for ?.
B=6⋅(12⋅11⋅5.5 ⋅ tan60°)
Simplify.
B=181.5 ⋅ tan60° cm2
The volume of a prism.
V=Bh
Substitute 181.5 ⋅ tan60° for B and 8 for h.
V=(181.5 ⋅ tan60°)⋅8
Multiply 181.5 by 8.
V=1452 ⋅ tan60°
Use a calculator to approximate.
V≈2514.9 cm3
Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.
The scale factor from rectangle you UVWX two rectangle STQR is
Answer:
The scale factor is 1/3
Step-by-step explanation:
Compare side length XW with RQ, the side length decreases from 15 to 5, which is a shrinking by a factor of 1/3, since 5 is 1/3 of 15. You can check this by comparing the sides WV with RS, and since 8 is 1/3 of 24, the scale factor is 1/3 going from UVWX to STQR.
If I helped, a brainliest would be greatly appreciated!
Write the equation of the polynomial with the given roots in standard form.
x=-4 (multiplicity of 2)
x=2i
Answer:
sorry not sure
Step-by-step explanation:
=
2
у
when x = 21
y=3* + 20
Answer:
Step-by-step explanation:
how do i find a tutor for this question did they remove the tutors and if you know how to solve his please help...
A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.
• Here's the table .
[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]
HELP giving brainlest and extra points!!
Answer:
32x? I'm so sorry if i'm wrong.
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WRITE A EQUATION FOR THIS SCENARIO, ILL GIVE BRAINLIST
Answer:
day 13
Step-by-step explanation:
the y axis represents the money. ans the x represents the days
so go down to 0 on the y acis and see what number the line matches with 0 on
in this case it matches with 13
Answer:
y = -5x + 65 or f(x) = -5x + 65
Step-by-step explanation:
The graph represents a linear function which means the function can be represented using y = xm + a, where y is the target, x is the domain, m is the slope, and a is the y-intercept.
According to the graph, the y-intercept is $65 which means a = 65
y = xm + 65
Since the x intercept is 13 that means when x = 13, then y = 0, plug those values in and solve for m to get the slope.
0 = 13m + 65
-65 = 13m
-65/13 = m
Which can be simplified to
-5 = m
Therefore the function for the graph is y = -5x + 65
A store pays $58 for a rocking chair. The store marks up the price by 50%. What is the new price?
Answer:
$87
Step-by-step explanation:
58×50٪=29
58+29=87
NEED ANSWERED ASAP PLEASE
sin(0)= -4 sqrt 29 / 29
Answer:
Is - 4
Step-by-step explanation:
29/29 cancel it out
so it will leave -4 out
He price of a computer component at the QRCC bookstore is decreasing at a rate of 2.25% per year. Decide whether this decrease is linear or exponential.
Answer:
The decrease is exponential.
Step-by-step explanation:
An exponential decrease is something like:
f(x) = A*(r)^x with 0 < r < 1
A linear decrease is something like:
g(x) = -a*x + b with a > 0
First ai general formula.
If you have a quantity Q, decreased by an X%, the new quantity will be:
New Quantity = Q - Q*(X%/100%)
Now let's look at the question:
Suppose that the original price of the computer component is K
And the price as a function of the year is P(y)
Then we know that, in the year zero, the price is K.
P(0) = K
One year after, the price decreases by 2.25%
Then:
P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)
After another year, we will have another decrease of 2.25%
Then:
P(2) = K*(1 - 0.0225) - K*(1 - 0.0225)*(2.25%/100%)
P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2
We already can see the pattern, we can expect that in the year y, the price of the component will be:
P(y) = K*(1 - 0.0225)^y
This clearly is an exponential decrease.
You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, what is your probability of not winning?
Answer:
the probability of not winning is 0.9946
Step-by-step explanation:
The computation of the probability of not winning is shown below:
The Probability of winning is
= 7 ÷ 1302
So, the probability of not winning is
= 1 - 7 ÷ 1302
= (1302 - 7) ÷ 1302
= 1295 ÷ 1302
= 165 ÷ 186
= 0.9946
Hence, the probability of not winning is 0.9946
The same is considered