ANSWER; Work with a good mind and you can do it with know body help Step-by-step explanation:
Which expression is a factor of 64x^2−25?
8x−5
32x−25
32x−5
8x−25
Answer:
A
Step-by-step explanation:
Answer:
[tex](8x-5)^{2}[/tex]
Step-by-step explanation:
Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25
Rewrite 25 as 5^2.
(8x)^2−80x+5^2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
80x=2⋅(8x)⋅5
Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]
Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]
what's a quarter after 9 in the morning??????
Answer:
9:15 a.m
Step-by-step explanation:
What is the surface area of a unit cube?
Answer:
6 units
Step-by-step explanation:
The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
Laura took out a loan of $25,000 for a term of 60 months ( 5years) at an interest rate 7.5% use th amortization table provided to complete the statement
Answer:
Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.
Step-by-step explanation:
Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:
20.04 x 25 = X
501 = X
Thus, the monthly payments that Laura will have to make will be $ 501.
(501 x 12 x 5) - 25,000 = X
30,060 - 25,000 = X
5,060 = X
In turn, the total finance charge will be $ 5,060.
six less than six times a number is 12
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
I need help with this word problem please
Answer:
Step-by-step explanation:
Given function is,
f(x) = [tex]x\sqrt{x}[/tex]
We can rewrite this function as,
f(x) = [tex]x^{\frac{3}{2}}[/tex]
a). Domain of the function is [0, ∞)
Derivative of the function in this domain,
f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]
= [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]
Since, f'(x) > 0 in the interval [0, ∞)
Function is increasing in the interval [0, ∞)
b). For local maxima and local minima,
Second derivative of the function,
f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]
= [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex] > 0
So the function should have a local minima.
But the function is continuous in the interval x ≥ 0,
There is no local minima (only absolute minima).
c). Since, second derivative is undefined at x = 0,
There are no inflection points.
d). Since, f"(x) > 0 in the interval [0, ∞)
Concavity of the curve is UPWARDS.
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
Consider the line y = 7x-3.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Gradient of parallel line= 7
Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]
Step-by-step explanation:
The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.
y= 7x -3
Gradient= 7
Parallel lines have the same gradient.
Thus, the slope of the line parallel to this line is also 7.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of perpendicular line)(7)= -1
Gradient of perpendicular line
= -1 ÷7
[tex] = - \frac{1}{7} [/tex]
Hello! :)
Parallel lines have the same slope.
If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.
Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:
[tex]7\\-7\\-\frac{1}{7}[/tex]
Hope it helps. Feel free to ask me if you have any questions.
~A determined teen
[tex]MagicalNature[/tex]
Simplify the following expression 5^-3
Answer 1/25 or decimal 0.008
Step-by-step explanation:
Answer:
0.008
Step-by-step explanation:
helo
circle the staement below 1530 and 12530
Answer:
1530 < 12530
Step-by-step explanation:
i12530 is a bigger number than 1530
Answer:
what statement?
GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:
y = x + 3
7x - y = 3
Group of answer choices
(1 , 4)
(-1 , -4)
(-1 , 4)
(1 , -4)
Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
x-2y what is the coefficient of x
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.
Answer:
The given statement Y = 7, x = 4 is False.
Step-by-step explanation:
We are given:
Y is inversely proportional to x, when Y = 7, x = 4.
We need to tell if the statement is True or False: the constant of proportionality, k, is 20.
Y is inversely proportional to x
We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]
Now, we need to check when Y=7, x = 4 is true or false
We are given k = 20
Now, I can find value of y, by putting values of k and x in the equation:
[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]
When we put x = 4, and k =20, we get Y=5 and not Y=7
So, The given statement Y = 7, x = 4 is False.
Please solve log4 5-log4 18 =log4 20-2log4 x
Thank You
Answer:
your answer will be 22
Step-by-step explanation:
if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer
Which of the following is in reduced form?
help please pleasdes
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
PLEASE HELP 8 ml of a 80% acid solution was mixed with 12 ml of a 20% acid solution. What is the percentage of acid in the new solution?
Answer:
44%
Step-by-step explanation:
So you have 2 bottles. One bottle is 8ml and is 80% acid. the other is 12 ml and is 20% acid.
This means there's 6.4 ml of acid in bottle 1(8*0.8) and 2.4 ml of acid in the other one(12*0.2).
The total amount of liquid is 8+12 = 20
The total amount of acid is 6.4+2.4 = 8.8
Percentage of acid in the new solution is 8.8/20 = 0.44 = 44%
which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!
9514 1404 393
Answer:
(a) -(x+7)/y
(b) (x+7)/-y
Step-by-step explanation:
There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.
The given expression with -1 factored out is ...
[tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]
Likewise, the expression of (b) with the minus sign factored out is ...
[tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]
On the other hand, simplifying expression (c) gives something different.
[tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]
__
Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).
Given: (-x-7)/y = (-x/y) +(-7/y)
(a) -(x+7)/y = (-x/y) +(-7/y)
(b) (x+7)/(-y) = (-x/y) +(-7/y)
(c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.
__
Of course, you need to know the use of the distributive property and the rules of signs.
a(b+c) = ab +ac
-a/b = a/(-b) = -(a/b)
-a/(-b) = a/b
__
Summary: The given expression matches (a) and (b).
_____
Additional comments
Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...
[tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]
Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.
The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.
(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given
(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given
(c) evaluates to (-1-7)/-2 = 4, different from given
Which of the following graphs best represents y=(x+1)(x-4)
Select all the expressions that are equivalent to 15n – 10.
8n – 23 – 3n + 11 + 10n + 2
20n – 5 + 15n – 5
3(5n – 2)
5(3n – 2)
35 – 3n + 10
Answer:
Step-by-step explanation:
the expression is equivalent with
5(3n-2)=15n-10
Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?
A. 19
B. 11
C. 9
D. 6
Answer:
D. 6
Step-by-step explanation:
Which equation is equivalent to 4(6x-2)+1=5(4x-1)
a. 24x-7=20x-5
b.24x-1=20x-1
c.24x-4=10x-5
d.24x+9=20x+5
Someone please help and thank you
Answer: 11:7
Step-by-step explanation:
66 is divisible by 6 = 11
42 is divisible by 6 = 7
GIVE BRAINLIEST!
Match each decimal to its equivalent percent.
12.5%
1
0.8
8%
0.125
80%
0.25
1%
0.5%
50%
0.01
100%
0.5
0.08
25%
0.005
Answer:
12.5%=.125, 1= 100%, .8=80% 8%=.08 .25= 25% .5 = 50% .01= 1% .005= 0.5%
Step-by-step explanation:
On the Decimal numbers just move the decimal place over 2 to the right
and add a percent
Hi I’m doing a test and I need help please tell me the answer |
V
Answer: It’s 8
Step-by-step explanation: I just went to desmos
7g2 + 3g − 2, 8g2 − 2g − 3
Sandy has the numbers 1 to 15 in a box. She randomly chooses one number, and without replacing it, chooses another number from the box. What is the probability that Sandy will choose 2 prime numbers?
A.2/15
B.1/7
C.2/5
D.1/2
Answer:
A: 2/15
Hope this helped!
С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С
Answer:
B=34.2
C=105.8
c=12.0
Step-by-step explanation:
find B using the sine rule
(sin40÷8)=(sinB÷7)
rearrange
sin B= (sin40x7)÷8
sin B=0.562
make sure to use your calculator
then press shift sin to find B
B= 34.2°
to the nearest tenth means to 1 decimal place
sum of angles in a triangle is 180
so 180-(40+34.2)=105.8°=C
use sine rule again to find c
(sin105.8÷c)=(sin40÷8)
rearrange
c= (sin 105.8x8)÷sin40
c=12.0
A house sits on a rectangular piece of land. Two of the sides measure 104 feet each. If all four sides add to 576 feet, how long is each of the other two sides? Write and solve an equation.
Answer:
Each of the other side is 184 feet.
Step-by-step explanation:
Given that:
Length of two sides each = 104 feet
Total length of all sides = 576 feet
Let,
x be the length of other one side.
Length of other two sides will be 2x.
Total length of sides = 2x + 2(104)
576 = 2x + 208
2x = 576 -208
2x = 368
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]
Hence,
Each of the other side is 184 feet.
