Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
SOLVE FOR X. pls i need help
algebra 2!! please help im begging. i don’t understand this at all. thank you!
Answer:
Step-by-step explanation:
so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6
Hey, can someone help me with this question?
Step-by-step explanation:
A = P(1 + r)^t
£5263.73 = £4000(1 + 0.01x)^7
(1 + 0.01x)^7 = 1.3159325
1 + 0.01x = 1.04
0.01x = 0.04
x = 4.
The value of x is 4.
Solve this equation
S=5t+45
Answer:
t= 1/5s-9
Step-by-step explanation:
use math papa next time ;)
convert 60mph to feet per minute
Sally made 17 bundles of 10 straws. How many straws did she made in all?
Answer:
170 straws
Step-by-step explanation:
10x17 is 170, so she made 170 straws
Answer:
The answer is 70 because 17x10=170
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122
Answer:
A) No...
Step-by-step explanation:
We can check if this triangle is a right triangle by using the Pythagorean Theorem.
a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:
5² + 8² = 12²Simplify.
25 + 64 = 144 89 = 144We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.
Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.
This leaves us with answer choice A. 52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)
Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?
Answer:
5.50x = 6,850
Step-by-step explanation:
Each ticket costs $5.50, and the total is $6,850.
Hope this helps! :)
a local club lottery offers a standard prize of $50 and there is one drawing each week. If there is no winner drawn, the prize triples for the following week. This pattern continues until the prize is won. If no wins in the first 5 weeks, how much will the prize be for week 6?
Answer:
300
Step-by-step explanation:
Every week you add 50 so 50x6 is 300
what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters
Answer:
5 meters
Step-by-step explanation:
Answer:
5 meters
Step-by-step explanation:
;)
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
Learn more about parallelogram;
https://brainly.com/question/28854514
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One by one, without spaces, Ivan wrote the numbers from 1 to 100. Which digit is in the 100th place?
Please answer !!
12x - 18y + 24
6 (2x + 3y-4z)
Step by step explanation:
6 (2x + 3y-4z)
im prob wrong-
what ratio language to describe the relationship of any two things you can think of
Answer:
The recipe called for 3 cups of flour and 4 cups of sugar. That means there are 3/4 cups of flour for each cup of sugar.
She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.
Step-by-step explanation:
PLEASE help me. thank you
Answer:
Each paper weight is half a pound
Step-by-step explanation:
What expression is equivalent to 24x - 9
Answer:
3(8x-3)
Step-by-step explanation:
What is the congruence method you will use to show that the triangles are congruent?
A) SSS
B) SAS
C) ASA
D) AAS
Find the slope of the line that passes through each pair of points. (8, 10) and (-7, 14)
Answer: -4/15
Step-by-step explanation:
The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]
You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10) and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))
You just plug in the y values on the top, the x values on the bottom and solve!
1) Plug in your values (10-(14)/8-(-7))
2) Open up your parentheses (10-14/8+7)
3) Solve -4/15
These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D
how do you find the quadratic equation to a graph like this
Answer:
b²-4ac=0
Step-by-step explanation:
x=-b+0/2a
so,x=-b/2a
Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 3 different toppings and 3 different cheeses
Answer:
26880 ways
Step-by-step explanation:
Given
[tex]Crust = 4[/tex]
[tex]Toppings = 10[/tex]
[tex]Cheese = 8[/tex]
Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in [tex]^4C_1[/tex] ways
For the toppings:
3 can be selected from 10 in [tex]^{10}C_3[/tex] ways
For the cheeses:
3 can be selected from 8 in [tex]^{8}C_3[/tex] ways
Total number of selection is:
[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]
Apply combination formula:
[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]
[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]
[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]
[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]
[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]
[tex]Total = 4 * 120* 56[/tex]
[tex]Total = 26880[/tex]
Hence, there are 26880 ways
A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?
A. $2.35
B. $3.85
C. $5.45
D. $6.95
18.) Which expression is equivalent to -6x + 7.5?
A. -3(2x - 2.5) B. -3(2x + 2.5) C. -3(2x - 7.5)
D.-3(2x + 7.5)
Answer:
D
hope this helped:)
Which is the measure of ∠XYZ?
Answer:
you get the measure of angle XYZ by adding the measures of angles XY? and ZY?
70 +35 = 105 degrees is the measure of angle XYZ
What is 5x-2y=4 6x+3y=-6
Answer:
x = 0 , y = -2
Step-by-step explanation:
Barbara bought a new mango tree and planted it in her backyard. She drew the table below to show the growth of her new tree
Based on the table, Barbaras tree is growing at the rate of what per year?
A 122.3 cm per year
B 2.3 cm per year
C 2 cm per year
D 1.2 cm per year
Answer:
2.3 cm per year
Step-by-step explanation:
Answer:
2.3 cm
Step-by-step explanation:
What is the depth of the soup ( the area shaded) 20cm is the diameter?
Answer:
8 cm
Step-by-step explanation:
Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-
⇒ cos 37° = AB / AC
⇒ cos 37° = AB / 20 cm
⇒ 4/5 = AB / 20 cm .
⇒ AB = 4/5 * 20 cm .
⇒ AB = 16 cm .
Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .
Hence the depth of the soup is 8 cm .Solve the inequality. Graph the solution.
p-4<2
help plz
Answer:
the inequality would be p<6
the graph is below.
Step-by-step explanation:
Here's how to solve the equation:
p-4<2
add 4 to both sides
p<6
The English translation of the inequality would be "p is less than 6".
please see below for the graph.
Hope this helps! :)
5/6 / 1/3 equals what
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Division of Fractions
Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.
Given the fractions:
[tex]\frac{a}{b}[/tex]
[tex]\frac{c}{d}[/tex]
The division:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]
can be done by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are given the fractions 5/6 and 1/3. Their division is:
[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]
Simplifying:
[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]
Answer: [tex]\mathbf{\frac{5}{2}}[/tex]
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.
Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%