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:
Answer these three question for a brainlist, 5 stars and a thanks for extra
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
AB = 4.62 m∠A = 22° m∠B = 68°
Step-by-step explanation:
Tan A = 1.7/4.3 = .39534...
m∠A = arctan .39534... ≅ 22°
m∠B = 90 - 22 = 68°
AB = [tex]\sqrt{1.7^{2} + 4.3^{2} } = \sqrt{2.89 + 18.49} = \sqrt{21.38} = 4.62[/tex]
Which is equivalent to (125)*?
125
125 3x
1253
125/5
Answer:
A
Step-by-step explanation:
it only makes sense, hope this helped
What is the exact area of a circle having diameter 3 in.?
Answer:
2.25π square inches
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
Diameter = 2r
So in this case, radius = 1.5 inches
Plugging that into the area formula produces the answer
A CD is circular and has a diameter of 6 centimeters. Which is closest to the area of the CD? Use 3.14 for π
Answer:
28.26 cm²
Step-by-step explanation:
Area of a circle = πr²
r = diameter/2
r = 6/2 = 3
A = (3.14)(3)²
A = 28.26 cm²
I NEED HELP ASAP!!!!!!!
Answer:
9/25 = 36%
Step-by-step explanation:
First add up all of the students (150)
Then divide 54 by 150, 0.36
0.36 = 36% = 9/25
Which of the following sets of measures
cannot be the lengths of the sides of a right
triangle?
A
5 cm, 12 cm, and 13 cm
B
9 cm, 12 cm, and 17 cm
C
1 cm, 2.4 cm, and 2.6 cm
D
2.5 cm, 6 cm, and 6.5 cm
you can use the formula of pythagoras theorem to know what of them is wrong
in the first case
-5^2 + 12^2 =169
13^2=169 ( it's a right equation so it can be lengths of right angle tri )
in the second case
_9^2 + 12^2 =225
17^2 not equal 225
so these are the lengths that can't be a right angle triangle
Which set of ordered pairs would define a line with a negative slope?
A.
(5, 5) and (0, 1)
B.
(3, 6) and (5, 1)
C.
(2, 3) and (7, 6)
D.
(2, 3) and (-4, -1)
Answer:
I believe it is B
Step-by-step explanation:
Im not good at explaing, but if you move forward three units and up 6, then draw a point, then go forward to 5 units and down to one unit and connect those dots, the line would be going down to the right
Recipe B uses 9 ounces of flour to make 12 servings of dough. How many flour is in per serving?
Answer:
Step-by-step explanation:
9/12 ounce = 3/4 = .75 ounce flour
PLEASE ANSWER QUICKLY! THIS IS FOR A STUFY GUIDE DUE IN 5 MINUTES!!!!!
6CO2 + 6H2O ———» C6H12O6 + 6O2
Is the equation above balanced or unbalanced? ___________
a- need to add coefficients
b- I don't know
c- Unbalanced
d- Balanced
Answer:
It's Balanced
Step-by-step explanation:
A simple word equation that can be used to describe the process of photosynthesis is carbon dioxide + water —> glucose + oxygen + water. So it's a balanced chemical equation for the process can be written as 6CO2 + 6H2O —> C6H12O6 + 6O2
Hope this helps!
PLEASE HELP ME ?!?!?!
Answer:
19
Step-by-step explanation:
12 (3 + 4) =
36 + 48
0.84
123 + 124
15 + 16
Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (1,3) Slope: 2
Answer:
y=2x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-3=2(x-1)
y-3=2x-2
y=2x-2+3
y=2x+1
how can I solve this problem
Answer:
50
Step-by-step explanation:
the angle that they want you to find is complementary to the angle that equals 40. Complementary means they will add up to equal 90. 90-40=50 so ADB = 50
In a class, the ratio of girls : boys is 5:3.
What fraction of the class are boys?
please answer urgent , high points up for grabs , please give good explanation
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.
PLEASE HELP the rise of the ramp is 8 ft tall and the run of the ramp is 16 ft long what is the slope of the ramp
Answer:
1/2 because it is...........
solve for u 5u + 9 - 4u = 17 (also don't have the answer be a fraction)
Answer:
=8
Step-by-step explanation:
Answer:
u=8
hope this helps
Step-by-step explanation:
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?
Answer:
The average rate of change of the function is: 0
Step-by-step explanation:
The function y = f(x) is graphed below.
From the graph it is clear that:
at x = -8, the value of f(-8) = -10
at x = -1, the value of f(-1) = -10
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
so
at x₁ = -8, f(x₁) = f(-8) = -10
at x₂ = -1, f(x₂) = f(-1) = -10
Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(-1) - f(-8) ] / [-1-(-8)]
= [-10 - (-10)] / [-1+8]
= [-10 + 10] / 7
= 0 / 7
= 0
Therefore, the average rate of change of the function is: 0
Forty students went on a trip on Wednesday. On Thursday, 15% less students went on a similar trip. How many students went on the trip on Thursday?
Answer:
34
Step-by-step explanation:
40 * .15= 6
40-6 = 34
okkk so you do 40 * .15 because you just put a decimal point before all percentages to convert it into number
40*.15= 6
then subtract 6 to the original amount
40-6=34
34 students went on the trip on thursday cause 6 students got killed by bears in the last trip.
Helpeoepeoeoeo show work
IMPORTANT THIGNS TO REMEMBER:
Has 20 lb. dog food!Gives dog 1 3/5 everyday!Find how much eaten after 2 days!Find how much is left!ANSWER:
Dog has eaten 3 1/5 after 2 days!
There is 16 4/5 left in bag!
EXPLANATION:
Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5
Which would give you 3 1/5
So, the dog has eaten 3 1/5 lb. of dog food in 2 days.
However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.
Meaning there is 16 4/5 lb. left in the bag of dog food!
solve this plz????? thx
Answer:
AOD i think
Step-by-step explanation:
Answer:
angle aob
Step-by-step explanation:
Select the solution(s) to the following equation: (3x−2)(x+5)=0 SELECT ALL THAT APPLY
x=3/2
x=5
x=-5
x=2/3
x=-2/3
x=-3/2
Answer:
Step-by-step explanation:
Check by direct substitution. If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero. Therefore x = 3/2 is not a solution.
(3*5−2)(5+5)=0 False. x = 5 is not a solution.
(3*[-5]−2)([-5+5)=0 True. x = -5 is a solution
x = 2/3: (3*2/3 - 2)( ) = 0. True x = 2/3 is a solution
x = -2/3: ( )( ) = -17 1/3; so x = -2/3 is not a solution
x = -3/2: ( ) ( ) = -22 3/4; so x = -3/2 is not a soution
A number divided by 3 and then 4 is added to the quotient.the result is 8.find the number
Answer:
12
Step-by-step explanation:
8-4= 4 So, 4 is the quotient.
4x3= 12 So 12 is the original number
12/3 + 4= 8
if f(x)=x²-18x+91, solve for x when f(x)=10
Answer:
x = 9
Step-by-step explanation:
x²-18x+91 = 10
x²-18x+81 = 0
(x-9)(x-9)= 0
x = 9
check:
9² - 18 (9) + 91
81-162+91 = 10
Solve: 2x + 3y = 1
y = -23 +11
Answer:
x = 18.5
y = -12
Step-by-step explanation:
First, solve y:
y = -23 + 11
y = -12
Then, solve the main problem:
2x + 3y = 1
(Substitute y)
2x + -36 = 1
2x - 36 = 1
2x = 1 + 36 = 37
x = 37 / 2
x = 18.5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
uh
Step-by-step explanation:
Answer:
wtffffffffffffffffffff
i need help i will mark u brainlest
Answer:
3rd one
Step-by-step explanation:
. How many dozen must be sold to make a profit of $90? Make a Selection: A. 45 B. 25 C. 30 D. 8
Why thank you for helping me and I will mark brainliest if you’re right :)
Answer:
Choice #1) 4.7 cm
Step-by-step explanation:
circumference of full circle = 2(r)(3.14)
a full circle would be = 2(3)(3.14) = 18.84 cm
It is 1/4 circle so 18.84/4=4.7 cm
Answer:
10.7
Step-by-step explanation:
1. I first grabbed a ruler to measure the other straight side of the figure.
2. Both of the straight sides were 3 cm so I knew that the answer had to be greater than 6 cm.
3. I then estimated that the other side was longer than the 3 cm.
4. I then had to my logic to figure out the answer and I very quickly realized that 4.7 cm would not make since because that is less than 6 cm. I know 7.7 cm would not make since because I knew the curved side was longer than 3 cm not shorter. 18.8 cm did not make since because that answer has WAY to much cm. Using the process of elimination, 10.7 cm was the only answer that made since.