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:
what is
a) 39.637, 44.3421, 34.1546,
44.351, 34.248 in increasing order
Answer:
34.1546, 34.248, 39.637, 44.3421, 44.351
Step-by-step explanation:
A warehouse has shelves that can hold 8, 12, or 16 skateboards. each shelf has sections holding the same number of skateboards. what is the greatest number of skateboards that can be put in a section
Answer:
4
Step-by-step explanation:
To solve this you need the find the GCF or the greatest common factor.
To do this just look through the numbers to find the highest factor for all three.
For 8, 12, and 16 it would be 4.
4 goes into all of them and no number higher can do this
So your answer would be 4.
Is 1 3/23 a rational number
Answer:
Yes
Step-by-step explanation:
In mathematics rational means "ratio like." so a rational number is one that can be written as the ratio of two integers. 1 3/23 can be converted into 26/23, which is a ratio, therefore, 1 3/23 is a rational number.
Hope this helps!
ez pts
Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:
312
Answer:
well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173
Step-by-step explanation:
A line segment has endpoints F(2, 2) and G(8, 2) Find the coordinates of its midpoint M
Answer:
(5,2)
Step-by-step explanation:
The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.
[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug points F(2,2) and G(8,2) into the equation
[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]
Therefore, the midpoint of the line segment with endpoints F and G is (5,2).
I hope this helps!
Write an equivalent expression to 1/2 ( 50 x - 10) by using distributive property
Answer:
25x-5
Step-by-step explanation:
I WILL GIVE 15 POINTS IF YOU ANSWER PROPERLY I DO NOT UNDERSTAND IT PLEASE HELP
Answer:
17.1 in2
Step-by-step explanation:
How many minutes does it take Lexus to skateboard 2 1/2 miles?
Answer: I'm doing this problem too, so the equation I used was y=4x+20. Now we need to find how many minutes can Lexus skateboard in 2 1/2 miles.
4(3m+9-7)
I need help plz
Answer:
12m+8
12m+36-28
Please help! help help
-6(-3y-6)-10(6y-8) in simplest form
Answer:
Step-by-step explanation:
18y + 36 - 60y + 80
116 - 42y
Answer:
-42y+116
Step-by-step explanation:
Expand:
-6(-3y-6)-10(6y-8)
Simplify:
18y+36-60y+80
What’s the answer to this??
Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11.
Use words to explain if the decimal terminates or repeats.
Answer: .81
Step-by-step explanation: divide 9 and 11
In ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°. Find the length of j, to the nearest centimeter.
Answer:
874
Step-by-step explanation:
The length of j from the given triangle JKL is 550 cm.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.
Using cosine rule
j²=k²+l²-2kl.cosJ
j²=430²+590²-2×430×590·cos117°
j²=184900+348100-507400×0.4539
j²=533000-230308.86
j²=302691.14
j=√302691.14
j=550 cm
Therefore, the length of j from the given triangle JKL is 550 cm.
Learn more about the cosine rule here:
https://brainly.com/question/28716982.
#SPJ2
The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2
a
y = - 4/3x + 3 1/3
b
y = - 3/4x + 10
c
y = - 4/3x + 10
d
y = 3/4x + 10
Answer:
C
Step-by-step explanation:
We want the equation of the line that passes through (3, 6) and is perpendicular to:
[tex]3x-4y=-2[/tex]
First, convert the second equation into slope-intercept form:
[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]
So, we can see that the slope of the line is 3/4.
The slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of the new line is -4/3.
It passes through the point (3, 6).
We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]
Distribute:
[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]
Therefore:
[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]
The answer is C.
In the expression -5g12 whIn the expression -5g12 which part is the coefficient?ich part is the base?
Answer:
The coefficient is -5, and the base is 12.
Step-by-step explanation:
The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression [tex]-5g_{12}[/tex]. The base would be the little subscript number that is next to the variable, so the base in the expression [tex]-5g_{12}[/tex] is 12.
Patrick makes chocolate chip cookies. The recipe calls for 134 cups of flour. If Patrick triples the recipe, how much flour will he need?
Answer:
134 x 3= 402 cups of flour needed
Step-by-step explanation:
I NEED HELP NOW!!!
Find the equation of the line.
Use exact numbers.
Answer:
y=-3x+7 i hope this helped
Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!
PLEASE HELP IM DESPERATE
The height of a male athlete testing his vertical jump can be modeled by h = − 16t ^2 + 14t. The height is h and the time is t. How many seconds is he in the air?
Answer:
0.88 (I think this is how Mrs. Futch wants it to be written)
Step-by-step explanation:
h=-16t^2+14t
(Substitute h with 0)
0=-16t^2+14t
(Factor)
0=2t(-8t+7)
2t=0 -8t+7=0
t=0 t=0.88
{0, 0.88}
Answer:
So everyone here in Mrs. Futch?
Step-by-step explanation:
A shop has a 3 for 2 offer on chocolate bars.
The normal price of a chocolate bar is 68p.
Sian gets 3 chocolate bars from the shop using this offer.
How much does she spend?
Give your answer in pounds.
Answer:
What is asked: How much does she spend
Given: 3-2-68p
Operation: Addition
Solution: 3 + 2 = 5
If its wrong im domb
Help I will be marking brainliest!
A. 41 ft 3 in
B. 42 ft 4 in
C. 41 ft 2 in
D. 40 ft 6 in
Answer:
41 ft 2 in
Step-by-step explanation:
Since the two triangles in question, that means that the triangles have the same proportions. We know that GH = 16 ft 7 in = 199 in (16x12+7) and HN = 6 ft 3 in = 75 in (6x12+3). GH/HN is 199/75. This is the same ratio that GO/AN will have as well. GO is unknown so we will denote it as x and AN = 15 ft 6 in = 186 in (15x12+6). We know that these two fractions are equal. 199/75 = x/186 solving for x, we get x = 493.52 in and converting that into feet we get 41 ft 1.52 in which rounds to 41 ft 2 in.
Anyone good at geometry? Please help.
which of the following is not a function
What is the distance between points (7,2) and (-4,2) on the coordinate plane?
help? please? maybe?
Picture below...........
Answer: The correct answer is B.
Step-by-step explanation:
Bath and body works sells a scented candle that urns 1/8 of an inch in every 1/4 of an hour. How many inches would the candle burn after one hour please show the work if it right you will get brainlist
Answer:
1/2 of an inch will be burned in 1 hour.
Step-by-step explanation:
Answer:
ID.K! So sorry for random answer! :)
Step-by-step explanation:
Who ever answers this first gets brainly
Answer:
d
Step-by-step explanation:
The coach mixes 15 scoops of powder with 2 gallons of water to make a sports drink for his team How many scoops of powder does the coach need to mix with 10 gallons of water
Can someone please answer this please
