Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is
[tex]-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x[/tex]
It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]
Thus,
The product of [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]
Learn more about product of polynomials here:
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find the slope of the line,
Please Help i am confused
Answer:
Slope = -1
Step-by-step explanation:
We will use 2 points from the graph.\
(0 , 2) and (2 , 0)
formula for slope = y2 - y1/x2 - x1
0 - 2/2 - 0
=-2/2
=-1
What is the percent of change from 8 to 4?
Answer:
50% decease
Step-by-step explanation:
A change from 8 to 4 represents a negative change (decrease) of -50%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent = New - Old/Old x 100
Percent = 4-8/8 x 100
Where: 8 is the old value and 4 is the new value. In this case we have a negative change (decrease) of -50 percent because the new value is smaller than the old value.
Hence, 50% decrease
Check Answer:
8 x 50% = 4
8 - 4 = 4
Hence, 50% decrease is the correct answer.
[RevyBreeze]
some one plsssss help me :)
Answer:
1.6 < x < 9.6
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
5.6 - 4 < x < 5.6 + 4
1.6 < x < 9.6
Is (3,7) A solution why or why not?
Answer:
please attach a photo to your question
A polygon has the following coordinates: A(6,-7) B(1, - 7) , C(1, - 4) , D(3, - 2) , E(7, - 2) , F(7, - 4) . Find the length of overline DE
4 units
Step-by-step explanation:
I did the quiz, hope it helped! <3
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS. Find the area of a rhombus. Each indicated distance is half the length of its respective diagonal.
Answer:
24 square feet
Step-by-step explanation:
There are four "triangles" of the rhombus. If you find the area of each triangle by multiplying the height by the width and dividing by two, you get 6. You then multiply that by 4 to get 24.
find the value of x please help
Answer:
x=37
Step-by-step explanation:
Area of triangle = x+x+x=180
= 78+65+x=180
=143+x=180
=x=180-143 (bring 143 to the otherside)
x=37
In the given figure, We are to find the respective value of x .
Solution :
We know that,
Sum of all the angles of the triangle = 180°
So,
[tex] \qquad \sf \dashrightarrow{ x {}^{ \circ} + 65 ^{ \circ} +78 ^{ \circ} = 180}[/tex]
[tex] \qquad \sf \dashrightarrow{ x ^{ \circ} + 143^{ \circ} = 180^{ \circ}}[/tex]
[tex] \qquad \sf \dashrightarrow{ x ^{ \circ} = 180^{ \circ}} - 143^{ \circ}[/tex]
[tex] \qquad \bf \dashrightarrow{ x ^{ \circ} = 37^{ \circ}}[/tex]
Therefore, The value of x is 37°
Question 6 of 10
What is the most logical first step in solving the equation x2 +6x+9 - 10?
A Factor the left side of the equation
B. Subtract 10 from both sides of the equation
C. Take the square root of both sides of the equation
D. Subtract 9 from both sides of the equation
SUBMIT
Answer:
A.factor the left side of the equation
sorry but to tell u the answer, I need to know this
is there an equal sign between 9 and 10 or it's just a minus sign?
I mean if it is a minus sign the first thing to do to solve the equation is 9-10 which gives you -1. but if there is an equal sign the first step is to subtract 10 from both sides of the equation which means your answer will be option B.
If anyone minds, can someone answer this and show your work pls.
Answer:
Step-by-step explanation:
y= -5x _
y=-7x-14
—————— (y-y=-5x-(-7x)-14)....
0=-2x-14 => x=-7 => y=-5*(-7)=35
Answer: x = -7 and y = 35
Step-by-step explanation: STEPS USING SUBSTITUTION
y= -5x
y= - 7x - 14
consider the first equation. Add 5x to both sides.
y + 5x = 0
consider the second equation. Add 7x to both sides
y + 7x = -14
to solve a pair of equations using substitution, first solves one of the equations for one of the variables then substitute the result for that variable in the other equation. and so goes on
i need helps with this question ASAP
Answer:
1. At Kohls Mrs. House would pay $45.00 because %25 = $15 so I just subtracted %.60.00-$15.00.
2.((Number × Percent/100)) + Number
((38 × 15/100)) + 38
5.7 + 38
= 43.7
3. I say that Mrs. House should go-to target. And just by $1.30.
At Kohls, the speaker would be at $45.00.
At target, the speaker would be at $43.70.
$45.00 - $43.70 = $1.30
Step-by-step explanation:
What is an equation of the line that passes through the points (4,-8) and (-4,2)
Answer:
-1.25
Step-by-step explanation:
Equation: y = -1.25x - 3.
Find the area of the shaded area. Round your answer to the nearest tenth
Answer:
45π
Step-by-step explanation:
To find the area of a circle the formula is πr².
To find the shaded region we will subtract the area of the small circle from the area of the big circle.
Area(big circle)=π9²=81π
Area(small circle)=π6²=36π
81π-36π= 45π
Solve the following quadratic equations using the quadratic formula and select the correct solution set.
5x2+2x-4=0
Thank you!
Answer:
x1= -(1-√(21))/5
x2= -(1-√(21))/5
Step-by-step explanation:
5x²+2x-4=0
D=2^2-4*(-4)*5=4+80=84
x1,2 = (-2±√(84))/10
x1= (-2+√(84))/10 = (-2+√(4*21))/10 = (-2+2√(21))/10 = (-2(1-√(21))/10 = -(1-√(21))/5
x2=(-2-2√(21))/10 = -2(1+√(21)/10=-(1+√(21))/5
Answer: x1= -(1-√(21))/5,
x2= -(1-√(21))/5,
PLEASE HELP ME Superman can fly on a speed of 20 miles per second Lois Lane is currently 5,000 miles away needs to be saved in exactly 5 minutes will Superman be able to get there in time
Answer:
He will get there in time
Step-by-step explanation:
Superman speed = 20miles per second and there are 60 seconds per minute, so Superman's speed is 1,200 miles per minute
1,200miles/minute * 5 minutes = 6,000 miles
6,000 miles > 5,000 miles so our boi will make it within 5 minutes
In ΔWXY, the measure of ∠Y=90°, XW = 61, WY = 60, and YX = 11. What ratio represents the sine of ∠W?
Answer:
11/61
Step-by-step explanation:
from trigonometry ratio sin w= Opp/hyp
opp = 11
hyp =61
therefore sin w =11/61
what would the shapes equal?
Answer:
♧ = 7♢ = 6♡ = 5♤ = 2Step-by-step explanation:
The second equation tells you ...
♧ = 21/3 = 7
The third equation tells you ...
♢ = 20 -2(7) = 6
Then the first equation tells you ...
♤ = 15 -7 -6 = 2
Finally, the last equation tells you ...
♡ = 13 -6 -2 = 5
Answer
Club = 7
Diamond = 6
Spade = 2
Heart = 5
Step-by-step explanation
Here it shows that 1 club + 1 diamond + 1 spade is equal to 15. Ok, let's get back to that one later.
In the next hint it shows that 3 clubs equals 21. So, in order to get the value of the club, divide 21 by 3, and you'll get 7. This means that 7 is the value of the club.
Now on to the third hint. Here it shows that 1 diamond plus 2 clubs are equal to 20. We already got the value of the club, which is 7, so add 7+7 and you'll get 14. Then, subtract 14 from 20 and you'll get the value of the diamond, which is 6.
Finally, the fourth hint. Here it shows that 1 diamond + 1 heart + 1 spade = 13. So, inorder to get the value of the heart, add the value of the diamond and the spade, which sums up to 8. Then subtract 8 from 13 and you'll get the value of the heart, which is 5.
The jazz band has 3 members. To raise money for a tour, each member sold r raffle tickets. Choose the expression that shows the number of raffle tickets sold.
Answer:
s = 3*r
Step-by-step explanation:
sold = 3(people) * r(raffle tickets)
Find the area of each triangle. Round your answer to the nearest tenth.
Answer:44 is closest to the nearest tenth if not try 35
Step-by-step explanation:35 Heather farm so it just needs five and it will get to 10 because it goes 30 31 32 33 34 35
what's one million and eighty in figures
Answer:
Step-by-step explanation:
Write 1 million first 1 , 000 , 000
Now add the 80 80
Total 1,000,080
It's always a good idea to break a problem down into smaller parts. It's easier to handle that way.
im not sure how to work this question out, 3/4 as a decimal so that each pair adds to 1
can you please help me , thank you
A scale drawing of a rectangular park is 7 inches wide and 9 inches long. The actual park
is 392 yards long. What is the area of the actual park, in square yards?
PLEASE HELP ME
Answer:
56000 square yards
Step-by-step explanation:
I hope it helps you!!!
WILL MARK BRAINLIST AND FOLLOW
8. Read the following double bar graphs and answer the questions.
a. How many Mango ice-creams were sold by Shop A?
b. Which flavor of ice-cream do people like most in shop A?
C. Find the total numbers of Chocolate ice-creams sold by shop A and shop B.
d. Which shop sold 30 coconut ice-creams?
e. Which flavor of ice-cream do people like the most in shop B? Chocolate or Vanilla?
f. Find the total numbers of ice-creams sold by shop B?
g. How many Vanilla ice-creams were sold by Shop A?
h. Which flavor of ice-creams were sold more in shop A than shop B?
Answer:
a) 100
b) Mango
c) Shop A = 90 and Shop B= 80
d) Shop B
e) chocolate
f) 330 ice-creams
g) 30
h) Mango
Your welcome~
3 pts
Question 1
You find a crystal in the shape of a prism. Find the volume of the crystal.
The point Bis directly underneath point E, and the following lengths are known:
• From A to B: 2 mm
• From B to C:3 mm
. From A to F: 6 mm
• From B to E: 10 mm
. From C to D: 7 mm
• From A to G: 4 mm
G
А
B
What is the area of the base? ( 1 point) Explain or show your reasoning. (2 points)
The Volume of crystals is 160 mm³ while the area of the base is 20 mm².
VolumeVolume is the amount of space occupied by a three dimensional shape or object.
Area of triangle = (1/2) * DF * height
Height = 10 - 6 = 4 mm, DF = AC = AB + BC = 2 + 3 = 5 mm
Area of triangle = (1/2) * 5 * 4 = 10 mm²
Volume of triangle prism = Area of triangle * AG = 10 * 4 = 40 mm³
Volume of rectangular prism = A to F * AC * AG = 6 * 5 * 4 = 120 mm³
Volume of crystals = 120 + 40 = 160 mm³
Area of base = AC * AG = 5 * 4 = 20 mm²
The Volume of crystals is 160 mm³ while the area of the base is 20 mm².
Find out more on Volume at: https://brainly.com/question/1972490
Which expression is equivalent to 2 + 0.22? A. 1.27 B. 0.272 C. 0.21 D. 1.02
Answer:
2.22
Step-by-step explanation:
2 + 0.22
2.22
None of them are equivalent to 2 + 0.22.
[tex]\\ \tt\hookrightarrow 2+0.22[/tex]
[tex]\\ \tt\hookrightarrow 2+22/100[/tex]
[tex]\\ \tt\hookrightarrow 200+22/100[/tex]
[tex]\\ \tt\hookrightarrow 222/100[/tex]
[tex]\\ \tt\hookrightarrow 2.22[/tex]
help me fo it its for me homework
Answer:
6
i started with 9 and counted up untell i got to 15
Volume of 8 and the product of 5 and q increased by 6 yeilds
88
Answer:
It could be either of two ways:
8
x
+
10
or
8
(
x
+
10
)
Explanation:
The wording is a little unclear because this could be done in two ways:
8
x
+
10
or
8
(
x
+
10
)
The first one is "the product of 8 and a number, increased by 10"
The second is "the product of 8, and a number increased by 10"
The one you might write depends on how you say the statement!
In either case, when you read the phrase "a number" in algebra, you make this the variable - whatever letter you prefer (does not have to be
x
!)
Step-by-step explanation:
The verbal statement of the given algebraic expression gives us; 5(q + 6) = 88
How to write Algebraic expressions?
Now, we are told that the product of 5 and q increased by 6 yields 88. Thus, the expression gives us;
5(q + 6) = 88
Therefore we can conclude and say that the verbal statement of the algebraic expression gives us;
5(q + 6) = 88
Read more about Algebra at; https://brainly.com/question/723406
Please just answer 14
Answer:
1072
Step-by-step explanation:
the angle is 108, so x10 then minus 8. when theres a letter next to the number it means to multiply it, so get the answer; then multiply it. example:
right angle 10x so 90x10. 900. hope this helps!
1) −6k + 7k 2) 12r − 8 − 12 3) n − 10 + 9n − 3 4) −4x − 10x
Step-by-step explanation:
I assume we are simplifying
1) -6k+7k = k
2) 12r-8-12 = 12r-20
3) n-10+9n-3 = 10n-13
4) -4x-10x = -14x
Simon used these steps to solve an equation:
Step 1: -6(x + 7) = 2(x − 11)
Step 2: -6x − 42 = 2x − 22
Step 3: -8x − 42 = -22
Step 4: -8x = 20
The diameter of Leta's coffee cup is 3 inches. What is the circumference? Show your work.
Answer:
Rounded answer: 9.4 in
Step-by-step explanation:
Circumference: 2 times radius times pi
Or in this case: Diameter times pi
Therefore, 3 times pi
= 9.4247779607694
Or if rounded
= 9.4