Answer:
see below
Step-by-step explanation:
(a)
[tex]( 2x - 5 )(3x^{2} + 5x - 7)\\\\=2x(3x^2+5x-7)-5(3x^2+5x-7)\\\\=6x^3+10x^2-14x-15x^2-25x+35\\\\=6x^3+(10x^2-15x^2)+(-14x-25x)+35\\\\=6x^3-5x^2-39x+35[/tex]
(b)
[tex](2x-5)(3x^2+5x-7)=(5x-2)(3x^2+5x-7)\\\\\frac{1}{(3x^2+5x-7)}(2x-5)(3x^2+5x-7)= \frac{1}{(3x^2+5x-7)}(5x-2)(3x^2+5x-7)\\\\2x-5=5x-2\\\\2x-5x=-2+5\\\\-3x=3\\\\x=-1[/tex]
only happens when x=-1, not always
Nate withdraws $40 from his checking account each dayWrite and solve a multiplication equation to find how long it will take him to withdraw $680
x = # of days
$40x = $680
Divide each side by $40
x = 17 days
please help! I'm not really sure what the answer is.
Answer:
The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])
Step-by-step explanation:
It is the largest to smallest.
Express in algebraic terms: five less than four times a number.
Answer: 4n-5
n= Number
Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2. Write in simplified form, giving reasons. Someone help please?
easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up
18+9x
hope this helps
Answer:
9x +18
Step-by-step explanation:
Please Help Thank You So Much
This is inequalities
Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x
You don't need a graph to solve this.
I kinda need this today.
Answer:
all the possible values of y - x are 4 and 5
all possible values of x/y = 1
Help me with this pls
Answer:
x=55, and y=62.5
Step-by-step explanation:
The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,
x+125=180
=> x=180-125
=> x=55
Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,
55+2y=180(As the angles in a triangle sum up to 180 degrees)
=> 2y=180-55
=> 2y=125
=> y=125/2
=> y=62.5
Hope my answer helps, Thank you!
(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work
Answer: 0
Step-by-step explanation:
To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]
The slope is 0, meaning the line is horizontal.
having problems with geometry homework, help me please
Answer:
[tex]XZ=146[/tex]
Step-by-step explanation:
Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:
[tex]XM+MZ=XZ[/tex]
[tex]XM=MZ[/tex]
Identify your known values:
[tex]XM=2x+35\\MZ=5x-22\\[/tex]
Solve for [tex]x[/tex]:
[tex]2x+35=5x-22[/tex]
Subtract [tex]35[/tex] from both sides of the equation:
[tex]2x=5x-57[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]-3x=-57[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:
[tex]x=19[/tex]
Substitute:
[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]
Solve:
[tex]XM=73\\MZ=73[/tex]
Again, we know:
[tex]XM+MZ=XZ[/tex]
Therefore:
[tex]XZ=73+73[/tex]
Solve:
[tex]XZ=146[/tex]
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
Answer:
[tex]\boxed {\tt 6 \ centimeters}[/tex]
Step-by-step explanation:
The volume of a cube can be found using the following formula:
[tex]v=s^3[/tex]
where [tex]s[/tex] is the side length, or edge.
We know the volume is 216 cubic inches. We can substitute 216 cm³ in for [tex]v[/tex], the volume.
[tex]216 \ cm^3 = s^3[/tex]
We want to find the side length. Therefore, we must isolate the variable, [tex]s[/tex].
s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{216 \ cm^3} =s[/tex]
[tex]6 \ cm=s[/tex]
The length of each edge of the cube is 6 centimeters.
Choose Yes or No to tell if the digit in the ones place is 110 the value of the digit in the tens place.
4,099
Choose...
4,110
Choose...
5,909
Choose...
5,011
Choose...
Answer:
No, no, no, no
Step-by-step explanation:
Jan joined the dining club at the local cafe for a fee of $29.95. being a member entitles her to save $2.50 every time she buys lunch. so far, Jan calculates that she has saved a total of $12.55 by joining the club. write and solve an equation to find out how many times Jan has eaten lunch at the cafe
Answer:
17 lunches
Step-by-step explanation:
Pls help plssssssssss
Answer:
Step-by-step explanation:
Hi!
I already solved it here.
https://brainly.com/question/17314856
Bill eats 3 slices of cornbread for breakfast that contain a total of 543 calories. How many
calories does each slice contain?
Find the x-values for which f(x) = g(x)
if you know that f(x) = x2 and g(x) = 9.
Answer: X = 3
x2 = 9
x = 3
Step-by-step explanation:
All you have to do is divide!
What is the slope of the equation: x = -2
Answer:
undefined
Step-by-step explanation
it is a vertical line and has no defined slope
If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?
Answer:
4x² - 57x + 206
Step-by-step explanation:
To evaluate (t ￮ s)(x), substitute x = s(x) into t(x) , that is
t(x - 7)
= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL
= 4(x² - 14x + 49) - x + 7 + 3
= 4x² - 56x + 196 - x + 10 ← collect like terms )
= 4x² - 57x + 206
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 2 4xy 12x 24 44y
Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
Answer:
Answer:4xy and 12x
Step-by-step explanation:
The could both be a product of 2x
A canoe rental service charges a transportation fee and $8 dollars an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost for was $68.
Answer:
transportation fee= $20
Step-by-step explanation:
Giving the following information:
A canoe rental service charges a transportation fee and $8 an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost was $68.
To calculate the transportation fee, first, we need to calculate the total rent cost for 6 hours.
Rent cost= 6*8= $48
Now, the transportation fee:
transportation fee= 68 - 48
transportation fee= $20
(a) A color printer prints 16 pages in 9 minutes.
How many minutes does it take per page?
| minutes per page
If m/n = 3, what does 2n/m equal?
(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.
Answer:
That would be n[tex]\geq 1\\[/tex]
Step-by-step explanation:
6. Edward bought 23.4 pounds of potatoes and 26.1 pounds of carrots.
How many pounds of vegetables did he buy in all? *
O 49.5 pounds
O 50 pounds
O 50.5 pounds
O 63.3 pounds
Answer:
49.5 lbs.
Step-by-step explanation:
23.4 + 26.1 equals 49.5 pounds
Hopefully this helps you :)
pls mark brainlest ;)
Which ratios are equivalent to 8 : 12? Select all that apply. A 4 : 6 B 12 : 8 C 16 : 20 D 24 : 36 E 56 : 84
Answer:
A, D, E
Step-by-step explanation:
like with division if you multiply the same thing on both sides it is still equal
The ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.
Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 8, and b= 12,
[tex]a:b = 8 : 12\\\\ = \dfrac{8}{12} = \dfrac{2 \times 4}{2 \times 6} \\= \dfrac{2}{3} \\\\a : b = 2 : 3[/tex]
So, the ratios are equivalent to 8 : 12
A 4 : 6
D 24 : 36
E 56 : 84
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Learn more about ratio here:
brainly.com/question/186659
#SPJ2
Question: List the six comparison symbols.
I’m really bad at math
= < > ≥ ≤ ≠
I think there’s more but those are the basics
Write 43% as a decimal.
Answer:
0.43
Step-by-step explanation:
It's easy if you think of 43% as a decimal if you base it off 100. For example lets write a fraction about it: [tex]\frac{43}{100}[/tex]. A decimal you can think of the same way. 0.43 is the same as saying 43% of 100 or 43/100.
Which set of angle measures could be the interior angles of a triangle? A. 15°, 48°, 27° B. 56°, 45°, 46° C. 42°, 84°, 64° D. 93°, 29°, 58°
Answer:
D. 93°, 29°, 58°
Step-by-step explanation:
In a triangle we can only have 3 Interior angles.
The sum of the Interior angles in a triangle = 180°
Adding up the given Interior angles in the above question:
A. 15°, 48°, 27°
= 15° + 48° + 27°
= 90°
90° ≠ 180°
Option A is wrong
B. 56°, 45°, 46°
= 56 ° + 45° + 46°
= 147°
147° ≠ 180°
Option B is wrong
C. 42°, 84°, 64°
= 42° + 84° + 64°
= 190°
= 190° ≠ 180°
Option C is wrong.
D. 93°, 29°, 58°
93° + 29° + 58°
= 180°
180° = 180°
Option D is the correct Option.
Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°
What is 39,404,000 expressed in scientific notation?
Answer:
3.9404×10^7
Im not sure how to explain it.
Is -7 + 28 positive or negative?
Answer:
Positive
Step-by-step explanation:
-7+28=21
21 is positive
Answer:
Positive
Step-by-step explanation:
-7 + 28 = 21
(-5, 4) and (4,1)
What is the distance between the two points rounded to the nearest tenth
Answer:
AB=9.49
Step-by-step explanation:
plz mark as brainliest if it helps
Are the ratios 3:9 and 21:27 equivalent? Why or why not?
Answer:
Not equivalent
Step-by-step explanation:
Given:
3:9 and 21:27We see that
21:27= 7:9Comparing:
3:9 < 7:9They have same denominator but different numerator, hence they are different
Answer: No
Step-by-step explanation:
No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers, 7 and 9, are not the same so therefore both ratios are not equivalent.
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2
Answer:
Step-by-step explanation:
The question is incomplete. Find the complete question a=below;
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?
The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;
h(t)=40t-16t2
0 h(t)=40t-16t2
40t-16t² = 0
add 16t² to both side
40t-16t²+16t² = 0+16t²
40t = 16t²
40 = 16t
divide both sides by 16
t = 40/16.
t = 2.5secs
Hence the golf ball hit the ground after 2.5secs
Answer:
when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.