Answer:
-22
Step-by-step explanation:
if a = 4, then it will be
-4 + 3(-6)
-4 - 18
which will be equal -22
4 + 3 × -6 = -22
Your welcome! :)
Pls help I need this RN
Answer:
3.2 , Edgar , Liam
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Write the general polynomial p(x) if its only zeros are 1,4, and -3, with multiplicities 3,2, and 1, respectively. What is its degree? Find p(x) precisely if p(0)=16.
Answer:
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex] --- General polynomial
The degree is 6
[tex]p(x) = -\frac{1}{3}(x -1)^{3} * (x -4)^{2} * (x +3)[/tex] --- The polynomial precisely
Step-by-step explanation:
Given
[tex](a,b,c)= (1,4,-3)[/tex] --- zeros
[tex](m_1,m_2,m_3) =(3,2,1)[/tex] --- multiplicities
Solving (a): The polynomial
The polynomial is represented as:
[tex]p(x) = (x -a)^{m_1} * (x -b)^{m_2} * (x -c)^{m_3}[/tex]
So, we have:
[tex]p(x) = (x -1)^{3} * (x -4)^{2} * (x +3)^{1}[/tex]
[tex]p(x) = (x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
Include constant k; So, the polynomial becomes
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
Solving (b): The degree (d)
To do this, add up the multiplicities
[tex]d = m_1 +m_2 +m_3[/tex]
[tex]d = 3+2+1[/tex]
[tex]d = 6[/tex]
The degree is 6
Solving (c): The actual polynomial
In (a), we have:
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
[tex]p(0)=16[/tex] means:
[tex](x,p(x)) = (0,16)[/tex]
This gives:
[tex]16 = k(0 -1)^{3} * (0 -4)^{2} * (0 +3)[/tex]
[tex]16 = k(-1)^{3} * (-4)^{2} * (3)[/tex]
[tex]16 = k*-48[/tex]
Solve for k
[tex]k = \frac{16}{-48}[/tex]
[tex]k = -\frac{1}{3}[/tex]
So:
[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
[tex]p(x) = -\frac{1}{3}(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]
A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the nearest tenth.
Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Answer:
60.75 ≈ 60.8
Step-by-step explanation:
4u-> 81
1u -> 20.25 (width)
3u-> 60.75 (length)
someone help me with this
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
Solve the equation. Then check your solution. StartFraction x Over 90 EndFraction = StartFraction 7 Over 9 EndFraction
Answer:
Step-by-step explanation:
x = 7
Symbolically, this equation is:
x 7
----- = -----
90 9
Cross multiplying yields 9x = 9(7), and so x must be 7.
Answer:
its b!!
Step-by-step explanation:
what is the result when this equation is solved for y?
Answer:
Ans:C
Step-by-step explanation:
4x^2+10x-2=6
4x^2+10x=6+2y
4x^2+10x-6=2y
(4x^2+10x-6)÷2=y
y=2x^2+5-3
Hope this is useful :)
Which of the following does not represent a function?
Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, then how many batches of tarts can Jessica make?
Answer:
108
Step-by-step explanation:
Jesicca wants to make tarts
She uses 3/4 cup of flour per batch
Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows
= 9÷ 3/4
= 9÷ 0.75
= 12
= 12×9
= 108
Hence Jessica will make 108 batches of tart
6. A tank can hold 50 litres of water. At present, it is only 30% full. How many litres of water shall I put in the tank so that it is 50% full?
Answer:
10 litres
Step-by-step explanation:
50 litres - 100%
x litres - 30%
x=(50*30)/100=15 litres - that's 30% of the tank (this amount of water is already added)
50 litres - 100%
x litres - 50%
x=(50*50)/100=25 litres - that's 50% of the tank (this amount of water will be in the tank)
To find what amount of water should be added we must subtract the amount of water that is already added from the amount of water that will be in the tank.
25 - 15=10 litres should be added
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
Simplify: (4 – 5) – (13 – 18 + 2).
(4 – 5) – (13 – 18 + 2).
= -1-(13+2-18).
= -1-(15-18).
= -1-(-3).
= -1+3.
= 2.
Answer:
the answer is 3
Step-by-step explanation: ik
Which expression is equivalent to (3x2 – 2x + 6 ) + ( 3x - 4)?
Answer:
3×2-2x + 6 + 3x - 4
-2x +3x + 3 × 2 +6-4
x + 8Q. If 5 (3x-1) =40, then x = *
a-3
b-9
Answer: 3
Step-by-step explanation:
Distribute the 5: 15x-5=40
Add 5 from both sides: 15x=45
Divide 15 by both sides: 3
Answer:
a-3
Step-by-step explanation:
5(3x-1)=40
15x-5=40
15x=40+5
15x=45
x=45/15
x=3
can the angles with measures 80o , 55o and 65o form angles on a line
Answer:
Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees
No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.
In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.
Let's calculate the sum of the given angles:
Sum = 80° + 55° + 65°
= 200°
Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.
In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.
Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.
To know more about Linear Angles here
https://brainly.com/question/13045673
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if you are at (0,0) on a coordinate grid, what direction do you go to plot point (-2,6)
Answer:
go left 2 and up 6
Step-by-step explanation:
(x,y)
(x,y) --> (-2,6)
0 = x 0 = y
0 - 2 = -2 = x
0 + 6 = 6 = y
(-2,6)
When making the X negative, you want to go left on the grid. When making Y positive, you want to go up on the grid.
Answer: you would go to the left side horizontally (aka quadrant 3), then go down until 6 vertically
Step-by-step explanation: if you don't get it, here's a visual explanation
8. The pyramid shown below has a square base and a vertex that lies
directly above the center of the square. Which of the following most
closely describes horizontal cross sections of this solid?
Answer:
They are all squares similar to the base.
Step-by-step explanation:
They are not congruent to the base but are similar.
If f(x) = 2x - 1, find f'(x).
Answer:
f'(x)=2
Step-by-step explanation:
[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]
HELP PLSSSSSSSZzzzzzzzzzzzz
Answer:
w equal to 9z
or z equals to w/9
A . 12
B . 15
C . 36
D .39
Answer:
The answer is 36 or c all you need to do is multiply 12 by 3
C-36 because your multiplying all of them by 3
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
A computer store bought a program at a cost of $40 and sold it at a selling price of $32.5. Find the percent markdown (Rounded to a whole number) .
Answer:
The percentage markdown is approximately 19%
Step-by-step explanation:
The cost at which the computer store bought the program = $40
The selling price at which the store sold the program = $32.5
The percentage markdown is given as follows;
Let CP represent the cost at which the computer store bought the program, and let SP represent the selling price of the program, we can find the percentage markdown as follows;
[tex]Percentage \ markdown = \dfrac{CP- SP}{CP } \times 100[/tex]
CP = $40, SP = 32.5
Therefore, we get;
[tex]Percentage \ markdown = \dfrac{40- 32.5}{40} \times 100 = 18.75\% \approx 19\%[/tex]
The percentage markdown ≈ 19%.
What is the slope of the line
Answer:
slope = -3/4
Step-by-step explanation:
y(1)-y(2)/x(1)-x(2)
Plug in coordinates (0,4) and (4,1)
1-4/4-0
-3/4 is the slope
URGENT!!!!!!
500 sheets of paper is 6.5 cm thick. How thick is a pile of 350 sheets of the same paper?
Answer:
4.55
Step-by-step explanation:
step 1. 6.5 / 500 = .013
step 2. .013 X 350 = 4.55
Hope this helps
Please help thanks! Brainliest
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Answer:
The average rate of change over the interval is 120
Step-by-step explanation:
For a function f(x) the average rate of change over an interval [a,b] is given as;
f(b)-f(a)/b-a
in this case, a is 2 and b is 4
f(b) is 256 and f(a) is 16
Substituting these values in the equation for rate of change, we have;
(256-16)/(4-2) = 240/2 = 120
24 PLUS 18 IJIEWJFQFHQR
Answer:
37
Step-by-step explanation:
Answer:
24+18 is 42.
Step-by-step explanation:
1
24
+18
____
42
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
28[tex]\pi[/tex] in
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] in which [tex]r[/tex] represents radius.
[tex]2\pi[/tex]×14 = 28[tex]\pi[/tex] in
Answer:
[tex]circumference \: of \: the \: circle = 2\pi \times radis[/tex]
[tex] = 2 \times \frac{22}{7} \times 14[/tex]
[tex] = \frac{11}{1} \times 2[/tex]
[tex] = 11 \times 2[/tex]
[tex]22cm[/tex]
Please help I’ll give brainliest
Answer:
B. $180
Step-by-step explanation:
3/2 × $120 = $180
______
If 45 crackers will serve 15 students, how many crackers are needed for 30 students? Please help I'm not smart enough to solve this-
9+4^2/8x3
What does this equal ?
Answer:
[tex]9+4^2\div 2^3\tems*3[/tex]
[tex]9+2^4\div8*3[/tex]
[tex]9+2*3[/tex]
[tex]9+2*3[/tex]
[tex]9+6[/tex]
[tex]15[/tex]
-------------------------hope it helps..have a great day!!