Answer: $87
Step-by-step explanation:
Given f(x) = 2x^2+ kx – 9, and the remainder when f(x) is divided by x + 6 is
57, then what is the value of k?
Given:
The function is
[tex]f(x)=2x^2+kx-9[/tex]
The remainder when f(x) is divided by x+6 is 57.
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial function f(x) is divided by (x-a), then f(a) is the remainder.
The remainder when f(x) is divided by x+6 is 57.
Using remainder theorem, we get f(-6)=57.
Putting x=-6 in the given function.
[tex]f(-6)=2(-6)^2+k(-6)-9[/tex]
[tex]57=2(36)-6k-9[/tex]
[tex]57=72-6k-9[/tex]
[tex]57=63-6k[/tex]
On further simplification, we get
[tex]6k=63-57[/tex]
[tex]6k=6[/tex]
[tex]k=\dfrac{6}{6}[/tex]
[tex]k=1[/tex]
Therefore, the value of k is 1.
Answer:
person above lol
Step-by-step explanation:
Order these numbers from least to greatest 7.7 7.608 7.67 7.4072
Answer:
LtoG
7.4072
7.608
7.67
7.7
Step-by-step explanation:
help asap,marking brainliest
Answer:
Try d .............,,.....
Answer:
Option B is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.
-2(3x - 1) < 8
(3x - 1) > 8/(-2)
3x - 1 > - 4
3x > 1 - 4
3x > - 3
x > - 3/3
x > - 1
Use the figure to find the measures of the numbered angles?
A Kindergarten teacher observes that 65% of her students arrive in her class knowing the
alphabet letters. If she takes a random sample of 17 students, what is the probability that
10 will know their alphabet?
Answer:it is most lickley.
Step-by-step explanation:
PLSS PLSSS HELP!!!!!!
Answer:
you can place a point on any number to the left of -1 on the number line, just don't place one on it because that would be equal to.
The volume of this sphere is 972 pi cubic inches. What is its radius?
A sphere.
Recall the formula Sphere Volume = four-thirds pi r cubed
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3 = 972π in³
r³ = 729 in³
r = 9 in
The value of its radius is,
⇒ r = 6.14 inches
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The volume of this sphere is 972 pi cubic inches.
Now, We know that;
Volume of sphere is,
⇒ V = 4/3πr³
⇒ 972 = 4/3 × 3.14 × r³
⇒ 972 × 3 = 12.56 × r³
⇒ r³ = 232.16
⇒ r = ∛232.16
⇒ r = 6.14 inches
Thus, The value of its radius is,
⇒ r = 6.14 inches
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The digit 5 in which number represents of a value of 50?
Answer:
The digit 5 in which number represents of a value of 50=5×5×2
Question 4
Solve the system of equations and choose the correct answer from the list of options.
x+y=-3
y = 2x + 2
A) ( 5/3,4/3)
B) (-5/3,-4/3)
C) (-2/5,-3/4)
D) ( 3/4,3/5)
Barry saved $7 less than Nadine. Together they saved $25.
How much did Nadine save? _____
What is the 6th term of the sequence below? 500, 100, 20, 4, …
Answer:
Should be 4 divided by 5
Answer:
0.16
Step-by-step explanation:
1st term: 500
Divide 500 by 5 to get the 2nd term: 100
Divide 100 by 5 to get the 3rd term: 20
Divide 20 by 5 to get the 4th term: 4
Divide 4 by 5 to get the 5th term: 0.8
Divide 0.8 by 5 to get the 6th term: 0.16
I hope this helped! :)
You can type 40 words per minute. How many words can you type in 10 minutes?
400, cus 40*10=400. Brainiest if possible, and tysm!
Answer:
40 * 10 = 400
Step-by-step explanation:
You have to multiply to get the answer :)
Hope yall have a awesome and wonderful day
The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.
Answer:
The number must be greater than 6.7. Thus, the sum will be negative.
For example, the number could be 7.
6.7 - 7 = -0.3
The number can be in the range - x ∈ (- ∞ , - 6.7)
We have - the sum of 6.7 and a number is negative.
We have to determine the possible value of that number.
For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10For f(x) to be negative -
f(x) < 0
2x + 10 < 0
2x < - 10
x < - 5
x ∈ (- ∞ , - 5)
According to the question, we have - the sum of 6.7 and a number is negative.
Now -
6.7 + x < 0
x < 6.7
x ∈ (- ∞ , - 6.7)
Hence, the number can be in the range - x ∈ (- ∞ , - 6.7).
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POSSIBLE POINTS: 0.83
On Saturday, Breanne drove 25 miles. On Sunday, she
drove 125 miles. The number of miles Breanne drove on
Sunday is what percent of the number of miles she drove
on Saturday?
%
Answer: 500%
Step-by-step explanation:
125 / 25 = 5 = 500%
We can check this answer by doing 5×25 = 125 so our answer is correct.
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
A teacher interested in determining the effect of a new computer program on
learning to read conducted a study. One hundred students were randomly assigned
to one of two groups. The first group used the computer program while the second
group did not. Both groups were tested to determine how much their reading levels
improved. The results for the two groups were compared. What kind of study is this?
(2 points)
1) This is an experiment because a treatment was applied to a group.
2)
This is an experiment because students were able to choose which group to
join.
3) This is a survey because students were randomly assigned to groups.
4) This is a survey because a treatment was applied to both groups,
Answer:
an experiment because a treatment was applied to a group
Step-by-step explanation:
jayfeather friend me
Answer:
This is an experiment because a treatment was applied to a group.
Step-by-step explanation:
This is because it cannot be a survey since the children are taking a test, which has a hypothesis. Hope you get this right. I took the test and got right.
PLEASE MARK ME AS BRAINLIEST
In the graphic below, one pair of vertical angles is
Answer:
angles 1 and 6
Step-by-step explanation:
Vertical angles because they share the same Vertex.
One pair of vertical angles in the figure from the options is ∠1 and ∠6.
What are vertical angles?Vertical angles are angles that are opposite each other at the intersection of two lines. They are also called vertically opposite angles or non-adjacent angles with the same vertex. They have the same angle measurement or size.
Given is a figure, we need to determine the vertical angles in that,
The vertical angles are -
∠2 and ∠5
∠3 and ∠8
∠7 and ∠4
Hence, one pair of vertical angles in the figure from the options is ∠1 and ∠6.
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Which triangle makes this statement true?
Answer:
D
Step-by-step explanation:
they need the same angle measures and side lengths to be congruent. also you need to line up the angles of the same measure in each triangle in the name
Answer: D
Step-by-step explanation:
ILL GIVE BRAINLIEST!
what is the measure of angle JKL 70
Answer:
220°
Step-by-step explanation:
If you were to draw a line from points J and L to the center of the circle and call the center point O, angle JOL would be twice as much as angle JKL which is 140° according to a circle law. Since arc JL is 140°, arc JKL would be 220°, as an entire circle is 360°.
How do you rewrite 2/3 divided by 1/6 using a common denominator
Answer:
4
Step-by-step explanation:
To compute the perimeter of a rectangle, you add the length, l , and width, w , and double this sum.
This means you can find the perimeter of a rectangle by evaluating the expression 2 (1 + w ).
Use this expression to find the perimeter of a rectangle with length 30 and width 75.
210 (A)
135 (B)
180 (C)
107 (D)
Answer:
210 (A)Step-by-step explanation:
Use the formula:
P = 2(l + w)Substitute the values and find P:
P = 2(30 +75) = 2(105) = 210Correct choice is A
Answer:
given length [l]=30
width[w]=75
perimeter= 2 (l + w )=2(30+75)=210
so
answer is A.210
How would you solve this?
Answer:
Step-by-step explanation:
Find the slope = -2/1
Find the y-intercept = 5
Go to graph
put a dot at (0,5)
since it's a negative slope you will go up 2 and left 1
draw your line
_________________________________________________
Find the slope = 3/1
Find the y-intercept = 0
go to graph
Put a dot at (0,0)
Since it is a positive slope you will go down 3 and left 1.
To find the slope and y-intercept use this formula=
y=mx+b
m=slope
b=y-intercept
I'm sorry I don't know how to do a check equation for these.
what is the area of a workshop that is 4 yeards wide and 5 2/3 yards long
the options are 9 2/3 13 1/3 20 2/3 22/23
Find the slope of the line that passes through the following points: E(1.4). F(5,-2)
Answer:
-1.5
Step-by-step explanation:
m=-6/4
m=-3/2
-1.5
Answer:
-3/2
Step-by-step explanation:
[4-(-2)] / [1-5] = 6 / -4 = -3/2
Pls help a girl outttt
Answer:
95 Degrees Celsius
y=1x-1 what would m=
This battery lasts 600 minutes when it's fully charged. Work out how many minutes the battery will last of it has 37% of its charge remaining.
HELP ME ASAP PLEASE
Find the length of the missing side. Simplify all radicals.
Answer:
160 i think?
Step-by-step explanation:
45 + 25 =70 so 70-180= 160
Which is the rate of change for the interval between -6
and -3 on the x-axis?
6
ty
5
4
-2
3
-1/2
1/2
2
2
X
2 4
Answer:-2
Step-by-step explanation:
The rate of change for the interval between -6 and -3 on the x-axis is -2. Therefore, option A is the correct answer.
From the given graph, we have the coordinates (-6, 6) and (-3, 0).
Here, rate of change = (y₂-y₁)/(x₂-x₁)
Now, (0-6)/(-3+6)
= -6/3
= -2
Therefore, option A is the correct answer.
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Raven graphed the function f( x) = −x2+8x . Which of the following is the vertex of Raven’s graph?
a)(4, 16)
b)(-4, 16)
c)(4, -16)
d)(-4, -16)
Answer:
a) (4,16)
Step-by-step explanation:
I believe it's this one. I have the same exact question :))
Can you solve this got less than 30 minutes
Answer:
2x-3y=-8?
Step-by-step explanation: