Answer:
The answer to this question can be described as follows:
-5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
Step-by-step explanation:
Given:
[tex]\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)[/tex]
Solve the above equation:
[tex]\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\[/tex]
The roots of the polynomial are as follows:
[tex]\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n[/tex]
That's why the roots are:
5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
Answer:
answer:
a. -5 with multiplicity 3
d. 9 with multiplicity 2
f. -1 with multiplicity 1
Step-by-step explanation:
You have a set of numeric tiles, from 1 to 6. You randomly choose one tile. How many possible outcomes are there?
Answer:
6
Step-by-step explanation:
There are 6 different tiles choose 1
There are 6 different possible outcomes
A case of Dr. Pepper soda consists of 24 cans, arranged in 4 rows of 6. Each can has a radius of 4 cm. These cans fit neatly on top of a cardboard rectangle (bottom of box), before being packaged. How much empty space is on the cardboard rectangle after the cans are placed on top? (This is an area. Do not worry about the volume of the box.)
Step-by-step explanation:
each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.
pls help asap for 17 points
Answer:
x = 52y
Step-by-step explanation:
Simplify. x^3 ÷ x^5
Answer:
x^-2
Step-by-step explanation:
(x*x*x)/(x*x*x*x*x)
1/x*x
1/x^2
x^-2
Answer: 1 / x^2
Step-by-step explanation:
x^3 / x^5
= x^-2
= 1 / x^2
Solve for g.
–19g = –20g + 12
g =
Answer:
g = 12
Step-by-step explanation:
–19g = –20g + 12
Add 20 g to each side
–19g+20 g = –20g+ 20g + 12
g = 12
Answer:
g = 12
Step-by-step explanation:
→The first step is to add 19g to both sides:
-19g = -20g + 12
+19g +19g
____________
0 = -g + 12
→Subtract 12 from both sides:
0 = -g + 12
-12 -12
_________
-12 = -g
→Divide both sides by -1:
12 = g
Find each difference. (–6s2 + 12s – 8) – (3s2 + 8s – 6)
Answer:
-9s2 + 4s -2
Step-by-step explanation:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)=
(-6s2-3s2) +12s-8s -8+6=
-9s2 + 4s -2
Answer:
[tex]-9s^2+4s-2[/tex]
Step-by-step explanation:
The volume of a box containing 15 identical cubes is 295245cu.m. Find the edge of the cube.
Answer:
Edge length of the cube = 27 m
Dimensions of the box is length = 135 m, width = 81 m, height = 27 m
Step-by-step explanation:
The box contains 15 identical cubes therefore, we have
Edge length of cube = Side, s, of cube
15 × s³ = 295245 m³
∴ s³ = 295245/15 = 19683 m³
s = ∛19683 = 27 m
Hence the edge length of the cube = 27 m
The dimension of the box is length = 5 × 27 = 135 m
Width = 3 × 27 = 81 m
height = 27 m.
Idk how to explain it please help question 11!
[tex]\frac{3-5x}{-4}[/tex]
[tex]\frac{3+-5x}{-4}[/tex]
[tex]\frac{-5x+3}{-4}[/tex]
[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]
[tex]\frac{5x-3}{4}[/tex]
Step-by-step explanation:
For instance, though not like terms, subtract
5-3/4= 2/4= 1/2
3-5/-4= -2/-4, -ve plus -ve hence +ve
+ve 1/2
They are the same
volume of the rectangle pyramid shown below 9in 8in 7 in
Answer:
168in³
Step-by-step explanation:
Volume of a rectangular pyramid is: [tex]V=\frac{lwh}{3}[/tex]
We are given the measurements of:
9 inches long
8 inches wide
7 inches tall
[tex]V=\frac{9*8*7}{3} \\\\V=\frac{504}{3} \\\\\boxed {V=168}[/tex]
The volume of the figure should be 168in³.
TX is the perpendicular bisector of Su. What is the length of SU?
Answer:
[tex]SU = 20[/tex]
Step-by-step explanation:
Given
Triangle TSU
Bisector TX
Required
Length of SU
A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;
This means that line TX divides line SU into two equal part.
This implies that
[tex]SU = SX + UX[/tex]
and
[tex]SX = UX[/tex]
Substitute [tex]SX = UX[/tex]; The expression becomes
[tex]SU = UX + UX[/tex]
Recall that [tex]UX = 10[/tex];
So, the above expression becomes
[tex]SU = 10 + 10[/tex]
[tex]SU = 20[/tex]
Hence, the length of is 20
solve 30-5x greater than 2x+9 and illustrate your answer on the number line.
Step-by-step explanation:
30 - 5x > 2x + 9
-7x > -21
x < 3
HELP ME PLEASE!!!! URGENT!!!
Answer:
Step-by-step explanation:
f(x)=4x+1
g(x) = x^2-5
(f*g)(x) = 4x^3+x^2-20x-5
Can someone help me it’s geometry :(
Answer:
The vertical angles theorem
Step-by-step explanation:
The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent
Answer:
Step-by-step explanation:
3) ∠JKN =∠ MKL Vertical angles theorem - Vertically opposite angles are equal
4) ΔJKN ≅ΔMKL AAS congruency
5) ∠J ≅ ∠ M CPCTC
Can anybody help me solve for surface area? The formula is the sum of the areas of the faces.
I will mark as brainliest ASAP!
Answer:
Surface area of the given prism = 63 square feet
Step-by-step explanation:
Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles
Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)
= 3 × 3
= 9 square ft
Area of one vertical rectangular face = (Length × Width)
= (3 × 6)
= 18 square feet
Area of all vertical sides = 3 × 18 = 54 square feet
Total surface area = 9 + 54 = 63 square feet
Which unit would you use to measure the weight of a car?
O mg
O kg
O g
O km
Answer:
The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.
hope that helps love!
What is the answer to this?
2x + 10 < 5x + 1
Answer:
x>3
Step-by-step explanation:
2x + 10 < 5x + 1
Add -5x and -10 on both sides of the inequality.
2x + 10 -10 -5x < 5x + 1 -5x -10
2x -5x < 1 -10
Subtract like terms.
-3x < -9
Multiply -1 and reverse the inequality.
3x>9
Divide 3 into both sides of the inequality.
3x/3>9/3
x>3
Answer: x > 3
Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.
Next, put your numbers together on the right by
subtracting 10 from both sides and we have -3x < -9.
To get x by itself, divide both sides by -3, but watch out.
If you multiply or divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
Please give this idea your full attention.
Even the most advanced algebra students will sometimes forget to
switch the direction of the inequality sign when multiplying or
dividing both sides of an inequality by a negative.
So we have x > 3 as our answer.
I have graphed the solution below.
Describe how the graph would move from the parent function: y = |x+4| - 12
Answer:
The graph moves 4 right and 12 down.
Step-by-step explanation:
So let me rewrite the function into all variables:
y = |x + z| + a
If z goes up, the graph moves right.
If z goes down, the graph moves left.
If a goes up, the graph moves up
If a goes down, the graph moves down.
The graph moves 4 right and 12 down.
What is 364 times 3 ...???
[tex]364 \times 3[/tex]
[tex]= 1092[/tex]
5 – 6x = 8x + 17 and simplify [tex]\frac{-6}{7}[/tex]
Answer:
x = -6/7
Step-by-step explanation:
5 – 6x = 8x + 17
-5 - 5 Subtract 5 from both sides
-6x = 8x + 12
-8x - 8x Subtract 8x from both sides
-14x = 12 Divide both sides by -14
x = -12/14 Simplify
x = -6/7
Simplify ...can I get help
Answer:
6^21 = B
Step-by-step explanation:
[tex][6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\[/tex]
Answer:
B
Step-by-step explanation:
When solving exponents with parenthesis around the base + sub exponent, always multiply the two exponents. Basically, when the two exponents are right next to each other, you multiply them. When you multiply 7 and 3, you get 21; therefore, the answer is 6 to the power of 23.
Right the slope form of a line with a slope of 2 and a Y intercept form of -4
Answer:
y = 2x - 4
Step-by-step explanation:
Slope intercept form should be the easiest because they give you all you need.
y = mx + b
m = 2
b = -4
y = 2x - 4
What is the area of the composite figure shown?
A) 42.4m2
B) 41.7m2
C) 32.8m2
D) 63m2
Answer:
B
Step-by-step explanation:
Can someone please help me with this? It’s due in an hour
it is b I hope this work for you
HELLPPP ITS ABOUT FUNCTIONS EXPLANATION NEEDEDD HELPPP
Answer:
C y =2x -3
Step-by-step explanation:
The y intercept is the value when x =0
A y = -4x+15 The y intercept is 15
B The y intercept is -2
C y =2x -3 The y intercept is -3
D The y intercept is 2
The smallest ( least) y intercept is -3
help me!
solve for u
Answer:
u = 9 and u = -9
Step-by-step explanation:
u^2 = 81
Take the square root of each side
sqrt(u^2) =± sqrt(81)
u = ±9
Answer:
Brainliest!!!
Step-by-step explanation:
[tex]\sqrt{81}[/tex] or ±9
they both equal the equation u^2 = 81
PLEASE SOMEONE HELP ME ASAP!!!!!ANYONE PLEASE!!!!
Daniella works at a nearby electronics store. She makes a commission of 15% on everything she sells. If she sells a laptop for $293, how much money does Daniella make in commission?
A.$43.96
B.$43.95
C.$249.50
D.$24.95
Answer:
B.$43.95
Step-by-step explanation:
Commission = 15% of $
[tex] = \frac{15}{100} \times 293 \\ \\ = 0.15 \times 293 \\ = \$ 43.95[/tex]
Please help! Correct answers only please!
A student was conducting a study to determine how many mini chocolate chip cookies would fit in a plastic sealed container. He used random packing to find the following.
Using the collected data above what would be a reasonable rough estimate of a ratio of how many cubic inches per cookie?
A. 2.2 in^3/cookie
B. 0.45 in^3/cookie
C. 17.82 in^3/cookie
D. 23.76 in^3/cookie
Answer: (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .
Step-by-step explanation:
From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch
Then, the volume of the container would be [tex]11\times6\times3= 198 \ in^3[/tex]
Then, the ratio of cubic inches per cookie would be
[tex]=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}[/tex]
So, the the ratio of cubic inches per cookie would be [tex]2.2\text{ in}^3/\text{cookie}[/tex] .
Hence, the correct option is (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .
Joshua drops a bag of 25 chocolate chip cookies and breaks 12 of them. 100
What percentage of the cookies did Joshua break?
Answer:
48%
Step-by-step explanation:
12 out o 25 are broken
so, 12/25 = .48 * 100 = 48%
Hope this helps!
Answer:
The answer to this question is 48% is broken
Anyone know this one ?
The answer is B i.e. one
can I have help please
Alpha Exercise 2α Write down the ratio of vowels to consonants in each of the given words. Simplify your ratio where possible.
a) PLAN
b) NUMBER
c) RATIO
d) SHAPE
e) GRAPH
f) EQUALS
g) INVERSE
h) SCALE
i) PRIME
j) MATHEMATICS
k) VERTEX
l) MULTIPLE
m) FACTOR
n) ROTATION
o) REFLECTION
p) TRANSLATION
q) ENLARGEMENT
r) TRANSFORMATIONS
s) SIMULTANEOUS
t) CUMULATIVE