Answer:
2 x^3 - 2 x^2 - 19 x + 21
Step-by-step explanation:
Expand the following:
(2 x^2 + 4 x - 7) (x - 3)
Hint: | Multiply out (x - 3) (2 x^2 + 4 x - 7).
| | 2 x^2 | + | 4 x | - | 7
| | | | x | - | 3
| | -6 x^2 | - | 12 x | + | 21
2 x^3 | + | 4 x^2 | - | 7 x | + | 0
2 x^3 | - | 2 x^2 | - | 19 x | + | 21:
Answer: 2 x^3 - 2 x^2 - 19 x + 21
When a number is doubled and then taken away from ten, the result is negative eighteen. What is the
number?
Answer:
14
Step-by-step explana:
Let the required number be x
Therefore, according to the given condition:
10 - 2x = - 18
10 + 18 = 2x
28 = 2x
x = 28/2
x = 14
Hence, the required number is 14.
solve 5kx+6=7kx for x
Answer:
7kx-5kx=6
2kx=6
x=3/k
Step-by-step explanation:
ur welcome my guy
Answer:
The answer is 3/k .
Step-by-step explanation:
First you have to move all the related terms to one side :
[tex]5kx + 6 = 7kx[/tex]
[tex]6 = 7kx - 5kx[/tex]
[tex]2kx = 6[/tex]
Next, you have to solve it :
[tex]x = 6 \div 2k[/tex]
[tex]x = 3 \div k[/tex]
[tex]x = \frac{3}{k} [/tex]
At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?
Answer:
There are 8 number of hairy dogs.
Step-by-step explanation:
It is given that:
Number of small dogs (Let it be [tex]n(A)[/tex]) = 9
To find:
Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?
Also given the following things:
Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15
Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2
We can use the following formula:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.
Putting the values in above formula:
[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]
Hence, the number of hairy dogs are 8.
Simplify the expression below.
(12s4−6s2+4s)+(6s4−4s+27)−(4s4+s2+12)
Answer:
=14s4−7s2+15
Step-by-step explanation:
Steps:
1: Distribute the Negative Sign
=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)
=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)
=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12
2: Combine Like Terms
=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12
=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)
=14s4+−7s2+15
Answer: =14s4−7s2+15
Hope this helps.
Describe the location of the point having the following coordinates. negative abscissa, positive ordinate Answer Choices A).Quadrant | B).Quadrant || C)Quadrant ||| D). Quadrant |V
What are the solutions of x²-7x+13=0?
Answer:
The answer is A
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST Abdul is making a map of his neighborhood. He knows the following information: His home, the middle school, and high school are all on the same street. His home, the elementary school, and his friend's house are on the same street. The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home. What theorem can Abdul use to determine the two triangles are similar?
Answer:
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally
What is the slope of the line that passes through the points (-9,2) and (1,27)? Write your answer in simplest form
Answer:
5/2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (27-2)/(1 - -9)
= (27-2)/(1+9)
= 25/10
5/2
Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car?
Answer:
4 days in total
Step-by-step explanation:
Answer:4 days
Total=375
150+(75×4)=150+75+75+75=375
4 days
Step-by-step explanation:
A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 93.5 in. What is the height of the pyramid?
Answer:
The height of the pyramid is 92.67 inches
Step-by-step explanation:
Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.
Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.
Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.
With the hypotenuse being the slant height s,
s^2 = r^2 + h^2
but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches
93.5^2 = 12.4^2 + h^2
h^2 = 93.5^2 - 12.4^2
h^2 = 8742.25 - 153.76
h^2 = 8,588.49
h = √(8,588.49)
h = 92.67 inches
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 9 yards and b = 40 yards, what is the perimeter?
Answer: 90 yards
Step-by-step explanation: Let me know if you need an explanation.
Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right
Which of the following is the complete factorization of the polynomial below?
X-5x2+2x+8
Multiply Mentally: 4.527 • 10(2)
Answer:
452.7
Step-by-step explanation:
Answer:
452.7
Step-by-step explanation:
hope this helps
<3
which of the following is the coefficient in the algebraic expression 5y-z3
Answer:
The coefficient is 5
Step-by-step explanation:
A number on its own is called a Constant. A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient) Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)
please mark brainliest!
Please help I really need it it’s too soon I will give brainless a thank you and five stars
Answer:
6
Step-by-step explanation:
3/4=6/8
1/8x=6/8
x=6
a bicycle trail in the shape of a circle has a diameter of 3 miles. Michelle biked around the trail 4 times. about how far did Michelle bike? A. 19 miles B. 28 miles C. 38 miles D. 113 miles
Answer:
C 38 miles
Step-by-step explanation:
to figure out how long is 1 round of the circle we will find circumfrence of circle. C = 2 * π * R. So the r = 1/2 of the diameter which is going to be 1.5 miles. so we multiply 2 by π by 1.5 which gives us an answer of 9.4 something Then times it by four to get ur final answer which is going to be 38 miles after rounding.
SCHOOLS DONE WOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Answer:
Maybe for you....
Step-by-step explanation:
;'(
wow good for you i still need to do my last studysync lol
:(
please help !
1) The product of two rational is always a .....................................
2) The reciprocal of a positive rational number is ............................................
if u say the answer then i will rate u excellent
Answer:
1. rational number
2. a positive rational number
Step-by-step explanation:
A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.
The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.
｡☆✼★ ━━━━━━━━━━━━━━ ☾
1) A rational number.
If you think about it, multiplying two fractions would produce another fraction. An irrational number can't be expressed as a fraction. Thus, multiplying two nationals would produce a rational number.
2) A positive rational number
Let's look at an example
3/4
The reciprocal would be 4/3.
If it is already a positive rational number, turning it upside down wouldn't affect the status of it.
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Joe hosted a praty 582 people came he charged 15 dollars for balcony seats and 10 dollars for ground seats how many people bout the ground seats and the balcony seats if he raised 6480
Answer:
Ground seats = 450 people
Balcony seats= 132 people
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)
15 b +10 g =6480
The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).
b+g = 582
Multiplying the second equation by 10, and subtracting it to the first equation:
15 b +10 g =6480
-
10b+10g = 5820
__________
5b =660
Solving for b
b = 660/5 = 132
Substituting b=132 in the second equation:
132+g = 582
g= 582-132
g= 450
Triangle QRS was dilated using the dilation rule DP,4.
What is PR'?
6 units
9 units
12 units
15 units
Answer:
PR' = 12unitsStep-by-step explanation:
When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.
If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.
Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.
According to the diagram, side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR
PR' = 4 * PR
PR' = 4*3
PR' = 12units
which are true regarding the statement
Answer:
1. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”
2. The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.
5. The conclusion is: it is a trapezoid.
Step-by-step explanation:
→The answer would be the first because it can be written as a statement like this. The statement is also proven to be true.
→The answer would be the second because it is a hypothesis statement. It is using the information of a "quadrilateral," and "one pair of parallel opposite sides," to form an answer/conclusion.
→The answer would be the last/fifth because the conclusion of the statement is that the unknown shape is actually a trapezoid, based on the information that has been provided to us.
I need help. Find the surface area.
Answer:
253.5π
Step-by-step explanation:
Surface area of cylinder: 2πrh+2πr^2
Height: 13, Radius: 6.5
A = 2π6.5(13)+2π6.5^2
A = 169π + 84.5π
A = 253.5π
Can someone make sure that the first one is right and can someone help me with the second one please I need to get this right please
Answer:
1. B
2. A
Step-by-step explanation:
1. Here, the figure is reflected over the line depicted. This answer is correct.
2. Here the image shifts down and across, making it a glide.
Need help please guys.
Answer: x= 21.6
Step-by-step explanation:
12^2 + 18^2 =x^2
144 + 324 =x^2
468 = x^2
c= 21.633
To the nearest tenth place is c= 21.6
What is the solution of each proportion?
Answer:
The polygons are not similar.
Step-by-step explanation:
They do not have proportional side lengths, so they are not the same
Answer:
The polygons are not similar.
Shawna works at a local pet store. When she works 3 hours, she earns $27. When she works 8 hours, she earns $72. Which equation represents her total wages y based on the hours that she works x?
Answer:
8+3=w 27+72=x
Step-by-step explanation:
Answer:
y = 9x
Step-by-step explanation:
The lengths of the sides of these squares are 1 , 4 , 7 , 8 , 9 , 10 , 14 , 15 and 18. What is the area of Morón’s rectangle?
Answer:
1056
Step-by-step explanation:
The computation of the area of the rectangle is shown below;
But for that first we have to compute the area of square which is
As we see in the diagram that there are 9 square sides
i.e 1,4,7,8,9,10,14,15 & 18
And, as we know that
Area of Square is
[tex]= Side^2[/tex]
[tex]1^2 = 1[/tex]
[tex]4^2 = 16[/tex]
[tex]7^2 = 49[/tex]
[tex]8^2 = 64[/tex]
[tex]9^2 = 81[/tex]
[tex]10^2 =100[/tex]
[tex]14^2 = 196[/tex]
[tex]15^2 = 225[/tex]
[tex]18^2 = 324[/tex]
So, the Total Area is
= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324
= 1056
Area of rectangle = 1056
So, it can come from
[tex]1056 = 33 \times 32[/tex]
As the area of rectangle is
[tex]= length \times width[/tex]
Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) What is the probability that Teo has more than $8?
b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?
Answer:
ooga booga ooga booga ooga booga ooga booga
Step-by-step explanation:
Answer:
343
Step-by-step explanation:
There are quarters(25¢), loonies ($1), and toonies ($2)
And total number of coins is 9
If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7
If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7
If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7
So possible number number of combination for an item that cost between $10 and $12 is
= 1^3 * 1^3 * 7^3
= 343
×+7-8×/3=-5×/2 please help me with this please please
please
Answer:
[tex]x=-14[/tex]
Step-by-step explanation:
[tex]\frac{x+7-8x}{3}=-\frac{5x}{2}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\left(x+7-8x\right)\cdot \:2=-3\cdot \:5x\\Simplify\\2\left(-7x+7\right)=-15x\\\mathrm{Expand\:}2\left(-7x+7\right):\quad -14x+14\\2\left(-7x+7\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=-7x,\:c=7\\=2\left(-7x\right)+2\cdot \:7\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a\\=-2\cdot \:7x+2\cdot \:7[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:7=14\\=-14x+14\\-14x+14=-15x\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\-14x+14-14=-15x-14\\\mathrm{Simplify}\\-14x=-15x-14\\\mathrm{Add\:}15x\mathrm{\:to\:both\:sides}\\-14x+15x=-15x-14+15x\\\mathrm{Simplify}\\x=-14[/tex]
