Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,
[tex]p(x)=2x^2+2x+1[/tex]
[tex]c=-1[/tex]
[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]
Plz plz ans this with explanation
Answer:
D
Step-by-step explanation:
Least common denominator of 7 and 8 = 56
[tex]\frac{-1}{8}=\frac{-1*7}{8*7}=\frac{-7}{56}\\\\\\\frac{1}{8}=\frac{1*7}{8*7}=\frac{7}{56}\\\\\\\frac{-1}{7}=\frac{-1*8}{7*8}=\frac{-8}{56}\\\\\\\frac{1}{7}=\frac{1*8}{7*8}=\frac{8}{56}[/tex]
-8/56 , -7/56 , 7/56 , 8/56 ,
-1/7 , -1/8 , 1/8 , 1/7
The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the speed is 80km/hr, the mass is 220kg and the quantity of fuel is 30litres, when the speed is 60km/hr, the mass is 300kg and the quantity of fuel is 40 litres. Find the volume of fuel if the speed is 100km/hr and the mass 250kg
Answer:
S varies partly directly as M and Q.
S=C.
S=KMQ+C.
For the first one...
speed=80,m=220,Q=30.
80=K20×30+C.
80=600K+C......(I).equation one.
For the second one....
speed=60,m=300,Q=40.
60=K300×40+C.
60=12000K+C.....(ii). equation two.
Minus eqtn(I) from eqtn(ii).
80=600K+C.
- 60=12000K+C.
K=0.01754~0.018.
Substitute K=0.018 into eqtn(I).
80=600K+C
80=600×0.018+C.
80=10.8+C.
C=80-10.8=69.2.
The relation is S=0.018MQ+69.2
when speed is 100 and mass is 250 find the volume.
100=0.018×250×Q+69.2.
100=4.5Q+69.2.
4.5Q=100-69.2
4.5Q=30.8.
Q=30.8/4.5.
Q=6.8~7litres.
∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.
Answer:
∠B = 48°Step-by-step explanation:
Since ∠A and ∠B are complementary angles their angles sum up to 90°.
In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B
That's
∠A + ∠B = 90
42 + ∠B = 90
∠B = 90 - 42
We have the final answer as
∠B = 48°Hope this helps you
Answer:
∠B = 48°
Step-by-step explanation:
A Complementary angles are total of 90°
If the measure of ∠A is 42°, find the measure of ∠B:
∠A + ∠B = 90°
42° + ∠B = 90°
∠B = 90° - 42°
∠B = 48°
Inverse Function f(x)= 5 -1/3x
Answer:
f(x)⁻¹ = -3x + 15
Step-by-step explanation:
y = -1/3x + 5
x = -1/3y + 5
x - 5 = -1/3y
(x - 5)(-3) = y
-3x + 15 = y
Simplify the expression 7 - X-(-5x) - 10 + 4x.
What are the differences and similarities between a bar graph and a histogram?
Answer:
With bar charts, each column represents a group defined by a categorical variable; and with histograms, each column represents a group defined by a continuous, quantitative variable.
Step-by-step explanation:
hope that helps
helppppp
Simplify (93 - √25+? 42
÷ 8)2
** show all of your steps using order of operation
Answer:
186.5 + 2x
Step-by-step explanation:
First, radify 25. Luckily it's a perfect square so it will be 5.
Second, divide within the parentheses. You're expression should look like this.
(93-5+x+42/8)2
Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.
Third, solve within the parentheses from left to right. Right now you're expression should look like this:
(93-5+x+5.25)2
Add all like terms
93-5+5.25=93.25
Fourth, multiply. Right now the expression should look like this:
(93.25 + x) 2
186.5 + 2x
easy 10 points and brainliest!
Answer:
x must be 0
Step-by-step explanation:
because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0
Answer:
x = 0
Step-by-step explanation:
If the point (x,y) is on the y-axis, that means the x coordinate is 0. The point can travel vertically anywhere on the axis, but not left or right of the axis.
Cheers.
determine the prime factors of 84 in tree map
Step-by-step explanation:
I hope i got it right...
Help please thank youu <3
Answer:
4. 10m+50=200
Step-by-step explanation:
10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end
Answer:
4) 10m+50 = 200
Step-by-step explanation:
As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .
$50 for grandma and he need to save $200.
So we get the equation :
10m+50=200
What is (0.83)4 rounded to the nearest hundredth?
Answer:
3
Step-by-step explanation:
“c.” isnt part of the question fyi
this is for AP Calculus
Answer:
-2/3
Step-by-step explanation:
[tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]
someone help me please
Answer:
-x^2 + 2x + 1
Step-by-step explanation:
Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)
-x^2 + 2x + 1.
which best describes how to solve the equation below 64x = 37
Answer: Division
Step-by-step explanation: divide both sides by 64
Please help! (Question in picture)
The answer is C. You just simplify all of the terms.
I think it is C but i'm not entirely sure sorry if its wrong gotta go
What is the area of the wreck site?
Answer:
where is the photo?
Step-by-step explanation:
Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)
ALGEBRA 1: HELP ME PLEASE 20POINTS
When a value for x is put into the machine, a value for y comes out. That output then becomes the input for another machine. An example is shown at the bottom.
What is the output from the second function machine? Explain.
Here you go queen/king hope this helps!
A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) (4 points)
Greetings from Brasil...
According to the statement, we can conclude that 1 square (of cheese) has 8in²
The area of a square is given by the expression:
A = S²
where S is the side of the square - just what we want to know
So:
A = S²
8 = S²
√8 = S
S ≈ 2.83inPlease helpppp meeee
Answer:
AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5
Step-by-step explanation:
Can someone please help?
Answer:
x² - 1
Step-by-step explanation:
When x - 1 = 3 and x + 1 = 5 we know that x = 4 so (x - 1)(x + 1) = 4² - 1 when x = 4, 5² - 1 when x = 5 and so on. If you look carefully you will notice a pattern, the product is always x² - 1 so the answer to the blank is x² - 1.
Whats the answer? 8(2 ÷ 2) = 2(8 ÷ 2) A. 6=6 B. 4=4 C. 8=8
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 = 8}}}}}[/tex]
Option C is the correct option
Step-by-step explanation:
[tex] \sf{8(2 \div 2) = 2(8 \div 2)}[/tex]
Left hand side ( L.H.S )
⇒[tex] \sf{8(2 \div 2)}[/tex]
Divide 2 by 2
⇒[tex] \sf{8 \times 1}[/tex]
Multiply the numbers : 8 and 1
⇒[tex] \sf{8}[/tex]
Again, Right hand side ( R.H.S )
[tex] \sf{2(8 \div 2)}[/tex]
Divide 8 by 2
⇒[tex] \sf{2 \times 4}[/tex]
Multiply the numbers : 2 and 4
⇒[tex] \sf{8} [/tex]
∴ 8 = 8
Hope I helped!
Best regards!!
Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Circle C. Parabola D. Hyperbola
Answer:
c
Step-by-step explanation:
Hyperbola is the conic section described by the equation 4x² = 10 +y²
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,
Ax²+By²+Cx+Dy+E=0
The given equation is 4x² = 10 +y²
4x²-y²=10
Divide the whole equation by 10
4x²/10 - y²/10=1
2x²/5- y²/10=1
x²/(1/2)- y²/10=1
The given equation is in the form of hyperbola.
Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²
To learn more on Conic sections click:
https://brainly.com/question/26941599
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given the expotential function f(x) = 4(3)^x find f(0) and f(1)
Answer:
4 and 12
Step-by-step explanation:
Given
f(x) = 4[tex](3)^{x}[/tex] , then
f(0) = 4[tex](3)^{0}[/tex] = 4 × 1 = 4 [ [tex]a^{0}[/tex] = 1 ]
f(1) = 4[tex](3)^{1}[/tex] = 4 × 3 = 12
WILL GIVE BRAINLIEST TO THE FORST PERSON WHO ANSWERS THIS!! In the diagram below, lines AB and ED are parallel. Angle < BCD is a right angle and < CBF = 125 Find angle CDE.
Answer:
35°
Step-by-step explanation:
Produce BC in the direction of C which intersects DE at any point say P.
AB || ED... (given)
So, BP would be transversal.
[tex] \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\
\therefore m\angle DPB + 125\degree = 180\degree\\
\therefore m\angle DPB = 180\degree - 125\degree \\
\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\
m\angle DCP = 180\degree - 90\degree \\
m\angle DCP = 90\degree \\
x = 180\degree - (90\degree + 55\degree) \\
x = 180\degree - 145\degree \\
x = 35\degree [/tex]
The value of x or the angle CDE will be 35 degrees.
What is the opposite angle theorem?The theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.
Given that the angle CBF is 125 degrees. The value of the angle CDE will be calculated as below:-
Calculate angle ABC by using supplement angle property:-
∠ABC = 180 - 125 = 55
Draw a horizontal line PQ at point C.
Angle PCQ = 35
Angle CDE = 35
Therefore, the value of x or the angle CDE will be 35 degrees.
To know more about the opposite angle theorem follow
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calculate the mid points of the line segments below using the midpoint formula given two endpoints (9,7) (-8, 10)
Answer: (0.5, 8.5)
Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.
Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?
Answer:
They will have the same amount of sugar in their canisters in 15 days
Step-by-step explanation:
Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.
Since we do not know the number of days it will take, we have to represent it using a variable.
Let the number of days be x days
Now, we are told Li uses 8.4 g per day.
So in x days, the amount user will be 8.4 * x = 8.4x g
Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x
For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g
So the amount of sugar left in her canister will be 191-12.6x
Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;
128-8.4x =191-12.6x
Collect like terms;
12.6x-8.4x = 191-128
4.2x = 63
x = 63/4.2
x = 15 days
Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).
Area =
Perimeter =
Answer:
76 and 34
Step-by-step explanation:
See attached
As we see this is a polygon with sides of AB=BC=AE and CD=DE
Sides AB=BC=AE equal to 8Sides CD=DE = [tex]\sqrt{3^2 + 4^2}[/tex] = 5Area is the sum of areas of a square ABCE with side 8 and a triangle CDE with base of 8 and height of 3:
Area = 8*8 + 1/2*8*3 = 64 + 12 = 76Perimeter = 8*3 + 5*2 = 24 + 10 = 34Sophie plans to repaint some classroom bookcases. All of the bookcases are the same size and each requires 4 over 5 gallons of paint. If she's going to paint 16 bookcases, how many gallons of paint does she need?
Answer:
12.8 gallons of paint
Step-by-step explanation:
Multiply 16 by [tex]\frac{4}{5}[/tex]
16(4/5) = 12.8
So, she will need 12.8 gallons of paint
-9x+10y = -18
3x- y =6
Elimination
Step-by-step explanation:
Hey, there!!
To solve this type of equation it is very easy from elimination method,
Firsty, you try to search if there is opposite sign of same variables or not in both equation. Then find their LCM to make easy to cancel.And thirdly add or subtract the terms to get value of one variable. Then substitute the value of one variable to get value of another variable.Here, the given equation are,
-9x+10y = -18..........(i)
3x-y = 6....................(ii)
Let's take LCM to solve for x.
To solve for "x" we must cancel "y".
LCM= 10 { lcm of 1 and 10 is 1}
So, let's multiply equation (ii) by 10 and add them.
Then,
-9x + 10y = -18
30x - 10y = 60
21x = 42 { as +10y and -10y gets cancelled}
[tex]x = \frac{42}{21} [/tex]
Therefore, x= 2.
Substituting the value of x in equation (i)
-9x + 10y = -18
-9 × 2 +10y = -18
-18 + 10y = -18
or, 10y = -18 +18
Therefore, y= 0.
So, the value of x is 2 and y is 0.
Hope it helps...
Make y the subject of the following: 7(y-3)=4(3-y) no spamming
Answer:
y = 3Step-by-step explanation:
7(y - 3) = 4(3-y)
7y - 21 = 12 - 4y
+4y +4y
11y - 21 = 12
+21 +21
11y = 33
÷11 ÷11
y = 3