Answer:
The width of the rectangle is k+4 inches
Step-by-step explanation:
you have [tex]k^{2}+19k+60[/tex] which can be factorized to (k+4)(k+15)
if the length of the rectangle is k-5 that would mean that we can write [tex]k^{2}+19k+60[/tex] as (k-5)n which we know is false, so the only one that applies is k+4
The true statement is:
"The width of the rectangle is k + 4"
Which statement is true?
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
So we want to factorize the area equation, which is a quadratic equation, into a product of two terms.
A = k^2 + 19k + 60
The two zeros are given by Bhaskara's formula:
[tex]k = \frac{-19 \pm \sqrt{19^2 - 4*1*60} }{2} \\\\k = \frac{-19 \pm 11 }{2}[/tex]
So we have two zeros, these are:
k = (-19 - 11)/2 = -15
k = (-19 +11)/2 = -4
So we can factorize the area as:
A = (k - (-15))*(k - (-4)) = (k + 15)*(k + 4).
From this, the only statement that can be true is:
"The width of the rectangle is k + 4"
If you want to learn more about quadratic equations, you can read:
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19. A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2/3 . The ratio of blueberry to cinnamon muffins sold was 1. If 60 blueberry muffins were sold on Monday, how 4/1 many more cranberry muffins than cinnamon muffins did the bakery sell? *
Answer:
25
Step-by-step explanation:
The ratio of cranberry to blueberry muffins sold was 2/3.
This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.
The ratio of blueberry to cinnamon muffins sold was 4/1.
This means that for every cinnamon muffin, 4 blueberry muffins were sold.
In other words, the ratio of cinnamon muffins to blueberry was 1/4.
60 blueberry muffins were sold on Monday.
This means that the number of cranberry muffins sold was:
2/3 * 60 = 40 cranberry muffins
This also means that the number of cinnamon muffins sold was:
1/4 * 60 = 15 cinnamon muffins
To find how many more cranberry muffins were sold than cinnamon muffins:
40 - 15 = 25 muffins
25 more cranberry muffins were sold.
Answer:
25
Step-by-step explanation:
What is the reference angle for a 240° angle? 30° 60° 180° 270°
Answer:
60°
Step-by-step explanation:
240° is between the two numbers 180°and 270°, So you're going to want to subtract 180 from 240 Thus, your answer will be 60!
hope you found this helpful :)
The reference angle is 60°. Option B
How to determine the angleSince 240° is in the third quadrant
Formula for reference angle in the third quadrant
Reference angle = ∝ - 180°
Reference = 240 - 180
Reference angle = 60°
Thus, the reference angle is 60°. Option B
Learn more about reference angle here:
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Pls help me with this question I’m trying to Anwser
Answer:Wish i could help, but I'm just as confused.
Step-by-step explanation:
find the vertical asymptote. y = x - 1 / x + 4
Answer:
x = - 4
Step-by-step explanation:
Given
y = [tex]\frac{x-1}{x+4}[/tex]
The denominator of y cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 4 = 0 ⇒ x = - 4
Thus the vertical asymptote is x = - 4
HELP I will give brainliest to make the perfect shade of orange cake frosting, Mya needs 8 drops of yellow food coloring for every 12 drops of red food coloring. If she adds 32 drops of yellow food coloring to her frosting, how many drops of red food coloring should she add
Answer: 48 red drops
Step-by-step explanation:
ratio of yellow food drops to red food drops is 8:12
8:12 simplifies to 2:3
2:3 = 2/5:3/5
2x/5 = 32 = # of yellow drops (where x is the total # of drops)
2x/5 = 32
2x = 160
x = 80
Since there are 80 total drops and 32 yellow drops, there must be 48 red drops (80-32=48)
Which of the following is a ray shown in the drawing?
Answer:
So to get the answer we need to find both of the rays. So first we need to find the end points for the horizontal one. That would be D and E for the horizontal. Those are points, do the same for the diagonal one. AC would be it. AC and DE would be the answer
Autumn is working two summer jobs, making $16 per hour tutoring and making $12 per hour landscaping. In a given week, she can work no more than 17 total hours and must earn at least $240. If Autumn worked 3 hours landscaping, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
13,14
Step-by-step explanation:
t = tutoring
l = landscaping
16t+ 12l ≥240
t+l ≤17
We know that she worked 3 hours landscaping
l =3
t+3≤17
t ≤14
16t+ 12*3 ≥240
16t + 36 ≥240
Subtract 36 from each side
16t ≥204
Divide each side by 16
t ≥204/16
t ≥12.75
We know that
12.75 ≤t≤14
She has to work whole hours
13,14
Your new computer costs $2500 but it depreciates in value by about 14% per year
Answer:
Step-by-step explanation:
The computer's initial cost is 2500. It decreases by 14% every year. That means the price is multiplied by (100-14)/100=86/100 every year, for x years.
The equation is 2500*(86/100)^3. After three years, it is 2150.
solve for x
8x+6=10 please help me ASAP
Answer:
0.5
Step-by-step explanation:
8x+6=10
8x=10-6
8x=4
x=4/8=0.5
RuRodolfo has 15 toys in the toy box and he had to new toys everyone based on this information which representation that shows the relationship between the number of toys
QUESTION; Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?
Answer:
Hello dear, your question is not complete (because you did not input the representations) but not to worry the representation can be found in the attached picture.
Thus , option C(third representation) is the correct answer.
Step-by-step explanation:
NB: kindly check attached file/picture for the pictures showing the representation in the question above.
From the question above we are given the following parameters or information or data;
=> RuRodolfo has 15 toys in the toy box and he had two new toys every month.
=> "The representation that best shows te relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x" will be option C because;
2 × 15 = 30. Therefore, RuRodolfo has 30 toys are the end of the month.
Answer:
B
Step-by-step explanation:
4(x + 2) = 2x + 10
explain each step plz
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]4(x + 2) = 2x + 10[/tex]
Distribute 4(x+2).
[tex]4x+8 = 2x + 10[/tex]
Subtract 2x and 8 from both sides.
[tex]4x-2x=10-8[/tex]
[tex]2x=2[/tex]
Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{2}{2}[/tex]
[tex]x=1[/tex]
Answer:
x = 1
Step-by-step explanation:
4(x + 2) = 2x + 10
You start by expanding 4(x +2)
i.e. 4x + 8 = 2x + 10
Then, subtract 2x from both sides of the equation
4x + 8 - 2x = 2x + 10 - 2x
4x - 2x + 8 = 2x - 2x + 10
2x + 8 = 10
Subtract 8 from both sides of the equation
i.e. 2x +8 - 8 = 10 - 8
2x = 2
Divide both sides of the equation by the coefficient of x above(which is 2)
[tex]\frac{2x}{2} = \frac{2}{2}[/tex]
x = 1
Hope this helps :))
ABC is similar to APQ. Find x and y.
Answer:
x = 10.8
y = 11.2
Step-by-step explanation:
AB : AP = AC : AQ
5 :(5+9) = 6 : (6+x)
5: 14 = 6 :(6+x)
5(6+x) = 14*6
30 + 5x = 84
5x = 54
x = 10.8
AB : AP = BC :PQ
5 :14 = 4 : y
5y = 14*4
y = 11.2
What is the inverse of y= e^x+3 -4
Answer:
log(x + 1)inverse function y(x) = e^x + 3 - 4
In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°
Answer:
1. 40°, 25°
Step-by-step explanation:
The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.
2x + 4 + 4y - 4 = 180
x+ 10 + 5y + 5 = 180
2x + 4y = 180
x +5y + 15 = 180
x + 2y = 90
x + 5y = 165
x = 90 - 2y
x = 165 - 5y
90 - 2y = 165 - 5y
5y - 2y = 165 - 90
3y = 75
y = 25
x = 90- 2y = 90 - 2*25 = 40
x= 40, y = 25
What is the difference between -4 and 6
[tex]answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
[tex] - 10[/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( + ) = ( - )[/tex]
[tex]( - ) + ( - ) = ( - )[/tex]
Let's solve
[tex] - 4 - ( + 6) \\ - 4 - 6 \\ = - 10[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?
Answer:
2 and half
Step-by-step explanation:
What is the equation of the line through (-2,-2) and (4,-5)?
Answer:
y=-3.5x+9
Step-by-step explanation:
the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9
in fantasy football, Real Performance statistics from actual players are used to generate mock scores for Imaginary teams and virtual games. What kind of data source is this?
Answer:
[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]
Step-by-step explanation:
The data is collected from actual players, from real world, not simulation.
=> Option A-Simulation is incorrect.
The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.
=> Option C-Experiment is incorrect.
The data is collected subjectively and used directly to generate mock scores without any manipulation.
The data can be considered the results of survey.
=> Option B-Survey is correct
Hope this helps!
:)
Answer: Simulation
Step-by-step explanation:
I took the quiz
what is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?
Answer
y=45
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
6.4 × 3 =19.2
44.4 - 19.2 =2.8y
25.2=2.8y
25.2/2.8=y
y=9
A file that is 246 megabytes is being downloaded. If the download is 12.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
30.8
Step-by-step explanation:
We can mutiply 246 by 0.125 to get the answer.
246 * 0.125 = 30.75 = 30.8
Answer:
30.8 megabytes
Step-by-step explanation:
We know that 12.5% of the 246 megabytes have been downloaded.
Of, means multiply. Therefore, we must multiply 12.5% and 246.
12.5%*246
Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.
12.5/100=0.125
12.5–> 1.25 —> 0.125
0.125*246
Multiply
30.75
We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.
30.8
30.8 megabytes have been downloaded.
Which graph represents a function??
Answer:
To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.
Answer:
Bottom Right
Step-by-step explanation:
A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x.
SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57
Answer: For the first one it’s 95 degrees. I don’t know the second one, sorry
Step-by-step explanation:
180-155=25
25+60=85
180-85=95
How do you do this equation
Which of the following pair of angles is the complementary angle? 25 and 65 31 and 71 60 and 40 145 and 35
Answer:
Step-by-step explanation:
If the sum of a pair of angles is 90, then they are complementary angles.
25 + 65 = 90
So, 25 and 65 are complementary angles
Answer:
25 and 65
Step-by-step explanation:
complementary angle= either of two angles whose sum is 90°
25 and 65, sum = 90°
yes31 and 71, sum = 102°
no60 and 40, sum = 100°
no145 and 35, sum = 180°
no18. QS bisects ZPQR. If mZPQS = 3x and
mZROS = 2x + 6, then mZPQR =
?
A. 18°
B. 36°
C. 30°
D. 6°
What is 1/2 convert to 6?
A. 6
B. 12
C. 3
hi
if you mean : 1/6 = ... / 6 it's 3 as 3/6 = 1/2
Can someone help me it’s geometry I will really appreciate it :,)
Answer:
LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES
-4
Step-by-step explanation:
Show me da way to the answer. Find the endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (6,−5) Midpoint: (6,2)
Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3
The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.
What is a function?A function is a relation between two sets one is called domain and the other one is range.
Given functions are:
h(x) = 2x
f(x) = 8x² − 3x
g(x) = 19x
p(x) = 5x³ + 3
Here, p(x) = 5x³ + 3 is the only cubic function.
As the degree of the function p(x) is highest among all.
Therefore, this function p(x) grows at the fastest rate for increasing values of x.
Learn more about function here:
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If f(x) = 49- x and g(x) = 7-, which is the rule of the function (8-3)(x)?
a
-x2 - X+ 56
b. x? - 7x2 - 49x + 343
7+X
d. x2 + x +42
C.
Please select the best answer from the choices provided
A. B. C. D.
Answer:
B ) x³ -7 x² -49 x +343
(f .g) (x) = x³ -7 x² -49 x +343
Step-by-step explanation:
Explanation:-
Given f(x) = 49 - x² and g(x) = 7-x
(f .g) (x) = f(x) .g(x)
(f .g) (x) = ( 49 - x² ) (7-x)
= 49 ((7-x))- x²(7-x)
= 343 -49 x -7 x² + x³
(f .g) (x) = x³ -7 x² -49 x +343
Conclusion:-
(f .g) (x) = x³ -7 x² -49 x +343
