The measure of HELP PLESSE
Answer:
[tex]51.3[/tex]
If the polynomials p(x)=2x³ +bx² +3x-5 and q(x)= x³+x² -4x-b leave the same remainder, when divided by x-2, prove that b = -13/5.
Step-by-step explanation:
Lets first find the remainder when p(x) is divided by x-2
p(2)=2(2)³+b(2)²+3(2)-5
p(2)=16+4b+6-5
p(2)=4b+17
Now let's find the remainder when q(x) is divided by x-2
q(2)=(2)³+(2)²-4(2)-b
q(2)=8+4-8-b
q(2)=4-b
Now let's equate both of them
4b+17=4-b
4b+b=4-17
5b=-13
b=-13/5 as required
Step by step exclamation please
Answer:
Expression: 48x + 120y & Area = 1,008 square feet
Step-by-step explanation:
12(4x + 10y)
multiple the 12 into 4x + 10y
12 x 4x = 48x
12 x 10y = 120y
48x + 120y
x = 6 ft
y = 4 ft
Substitite in numbers
48x + 120y
48(6) + 120(6)
Multiply
288 + 720
Add
288 + 720 = 1,008 square feet
HELP ME PLEASEEEEEEEE!!
9514 1404 393
Answer:
12. 13
14. A
15. B
Step-by-step explanation:
I choose to work 3 problems to show how multiplication and division work with exponents.
__
12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).
We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...
(2x²)(4) +(5x)(x) = (8 +5)x² = 13x²
The missing coefficient is 13.
__
14. The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
The given expressions can be simplified as ...
Koby
[tex]\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1[/tex]
Paulo
[tex](m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m[/tex]
Kobe Only wrote an expression equivalent to 1.
__
15. The given expression is of the form
[tex]\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}[/tex]
The true statement is ...
the quotient has a remainder of -7/(2x)
__
Additional comment
Strictly speaking, a division problem can be expressed as ...
dividend = (divisor)(quotient) + remainder
In this instance, this would be ...
14x² +10x -7 = (2x)(7x +5) -7
which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.
The above (quotient) + (remainder) should actually be ...
(quotient) +(remainder)/(divisor)
You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.
Enter the next three numbers of the repeating decimal produced by the
7
fraction
9
0.777777 ...
Answer:
777
Step-by-step explanation:
7/9 will repeat 7 forever
The next three are therefor
777
Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.
A: Write an equation to represent each T-Shirt company.
Ralph's:_______________
Frank's:_______________
B: Solve the system of equations by using the graph.
C: What does the solution mean in the context of the solution?
Answer:
A: Ralph y = 10 + 7.50x
Frank y = 10x
B: x = 4, y = 40
C: x = 4 means that in order for the companies to make the same amount of money, they have to sell 4 shirts each. When the companies sell 4 shirts (or multiples of 4) they are making the same amount of money.
Step-by-step explanation:
Because both equations are equal to y, set them equal to each other.
10x = 10 + 7.50x
2.5x = 10
x = 4
Plug in x to a y equation.
y = 10(4)
y = 40
Solve for x. −34x≥12
Answer:
x≤ −6/ 17
Step-by-step explanation:
Let's solve your inequality step-by-step.
−34x≥12
Step 1: Divide both sides by -34.
−34x/ −34 ≥ 12/ −34
x≤ −6/ 17
Answer:
x≤ −6/ 17
Instructions: Find the missing length indicated.
Please help no links
Answer:
120
Step-by-step explanation:
To find the value of x we use Euclidian theorem
x^2 = 225*64
x^2 = 14400
x = 120
- Which expression is NOT equal to 1/30
Answer:
1+1=2
Step-by-step explanation:
please mark me brainliest i want to move to the next rank
What is answer too 12a over 2
Answer:
6a
Step-by-step explanation:
Only answer if you’re sure :) id like the full equation! Will give Brainly
Answer:
[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]
Step-by-step explanation:
3x-2y=7
-3x -3x
-2y=-3x+7
-1 -1
2y=3x-7
2 2
y= 3/2x-7/2
-5 + -3 + 9= please help i'm stuck
Answer:
1
Step-by-step explanation:
Answer:
I believe it is 1
Step-by-step explanation:
y
∝
√
x
If
y
=
45
when
x
=
81
find,
x
when
y
=
100
9514 1404 393
Answer:
400
Step-by-step explanation:
The statement of proportionality means the ratio of y to √x is the same. Then we can write ...
(√x)/100 = (√81)/45
√x = 100(√81)/45 = 20 . . . . . multiply by 100
x = 20² = 400
x is 400 when y is 100.
C(6,18), SF=____ C'(2,6)
Pls help me solve this and figure this out!!!
Find the volume of the cone. Round to your nearest hundredth
volume of cone
= ⅓πr²h
= ⅓ × 3.14 × 9 × 9 × 12
= 3.14 × 3 × 108
= 3.14 × 324
= 1017.36 cm³
-50 POINTS- If you guess will be reported.
If P=(1,6), Find: D3 (P)
Answer:
(3,18)
Step-by-step explanation:
You do not give the center of dilation, so I am using the origin (0,0)
You multiply the x and y by 3
(1,6)
1 x 3 = 3
(1,6)
6 x 3 = 18
(3,18)
Joe is using the function E = 1.89x + 2.89y to minimize his expenses when selling
markers and erasers. He has the following constraints.
2x + y > 10
x + 2y > 8
X>0
y>0
What is the minimum value of E?
$28.90
$9.45
$15.12
$13.34
D I think 13.34
Step-by-step explanation:
PLS ANSWER FAST, WILL GIVE BRAINLIEST
Answer:
I guess option c is the answer
Hudson and his children went into a bakery where they sell cupcakes for $4.75 each
and brownies for $2 each. Hudson has $30 to spend and must buy at least 7 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically and determine one possible solution.
Find the area of the figure below. Round answer to nearest tenth.
Answer:
[tex] \approx \: 198.1 \: {cm}^{2} [/tex]
Step-by-step explanation:
Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm
(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)
Therefore,
Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm
[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]
The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the ladder?
Answer:
11.4
Step-by-step explanation:
Its a right triangle so we can use the Pythagorean Theorem to solve it
Write a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8)
a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)
What is a cubic function?A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.
A cubic function has 3 roots.
Let, assume α, β and γ.
So, f(x) = K (x - α). (x - β). (x - γ)
f(x) is defined by values of x where f(x) = 0
0 = K (x - α). (x - β). (x - γ)
x = α, β, γ
The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)
Now, f(x) = K (x - (-3). (x - 1). (x - 4)
f(x) = K (x + 3) (x - 1) (x - 4)
Next, f(x) passes through point (0,8) which means:
f(0) = 8
so, 8 = K (0 + 3) (0 - 1) (0 - 4)
or, k = - 2
Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)
To know more about cubic function refer to:
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explain the following composite numbers into product of prime factors.
5929
Please help. Assignment is due today. I am terrible with math, I don't understand this. Thanks in advance.
Answer:
a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)
Step-by-step explanation:
Solutions for graph a, b and c are attached.
a. (x, y) to (3x, y)
A' (-3, -1) B' (3, 2) C' (6, 0)
b. (x, y) to (x, 3y)
A' (-1, -3) B' (1, 6) C' (2, 0)
c. (x, y) to (2x, 3y)
A' (-2, -3) B' (2, 6) C' (2, 0)
REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.
Solve the equation.
3(x−9)=30
Answer:
19
Step-by-step explanation:
3(x-9)= 3x-27
3x-27=30
3x=57
x=19
Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b
The values of the variables in the circles are
Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degreesHow to determine the values of the variables in the circles?From the question, we have the following parameters that can be used in our computation:
Circles and missing angles (see attachment for the figures)
Circle 1
To determine the unknown variable (a), we make use of the following theorem
The angle subtended by an arc at the circumference is twice the angle subtended at the circumference
Mathematically, this means that
a = 2 * 17 degrees
Evaluate the product
a = 34 degrees
Circle 2
To determine the unknown variable (a), we make use of the following theorem
The angle at the circumference in a semicircle is 90 degrees.
Mathematically, this means that
b = 90 degrees
Also, we have
a + 122 degrees = 180 degrees
Evaluate
a = 58 degrees
Using the theorem in (a), we have
b + a/2 + c = 180
This gives
90 + 58/2 + c = 180
Evaluate the like terms
c = 61 degrees
Hence, the angle c is 61 degrees
Read more about angles at
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Answer:
23/4
Step-by-step explanation:
5*4 = 20
20+3=23
Answer:
23/4
Step-by-step explanation:
I learned it like this
4x5+3
So basically you multiply the bottom number with the whole number on the side and add the top number to it
And 4x5+3=23
You keep the bottom number of the mixed number
So it's 23/4
(I'm not super good at explaining things, but I hope this helped)
is y= 2x3 an exponential function?
Answer:
No it is not an exponential function
Can someone help me this is confusing
8 feet and 9 inches multiplied by 5
Answer:
43 feet 9 inches
Step-by-step explanation:
Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in