Part A
4x10 – 64x2
= 4x2 * x8 – 4x2 * 16
= 4x2 * (x8 – 16) by distributive property
Part B
x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.
4x2 * (x8 – 16)
= 4x2 * (x4 + 4) * (x4 – 4)
x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.
= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)
Answer:
Below.
Step-by-step explanation:
The GCF = 4x^2
So its 4x^2(x^8 - 16)
This can be further factored
= 4x^2(x^4 - 4)(x^4 + 4)
= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)
MARKING BRAINLIESTPLZZ HELP ME W MY MATH
Answer:
As BVC is similar to RJC
from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12
Y=12
Match each expression to its exponential form.
Answer:
[tex]\frac{4^{2} }{2^{2} }[/tex] = 4
(8-4)x4 = [tex]4^{2}[/tex]
[tex]2^{2} +2^{2}[/tex] = 8
Step-by-step explanation:
To solve the first one simplify the exponents and then divide them; [tex]4^{2}[/tex] equals 16 and [tex]2^{2}[/tex] equals 4. Therefore the expression is 16/4, which equals 4.
Follow PEMDAS to solve the next one. First paratheses, (8-4) equals 4. Then, multiply by 4. 4x4 can also be rewritten as [tex]4^{2}[/tex].
Simplify the exponents to solve the last expression. [tex]2^{2}[/tex] is 4, so the expression is equal to 4+4, which is 8.
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
a 24 square feet
b 28 square feet
c 32 square feet
d 36 square feet
Answer:
36 square feet would be your answer
solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]
Answer:
x=5 x= -7
Step-by-step explanation:
PLEASE HELP!!!
The expression 4(1.20)t represents the population of rabbits each year. If x% represents the growth rate for the population of the rabbits each year, what is the value of x?
The growth rate for the population of the rabbits each year is 20%
What is an exponential equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
Exponential exponential is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given the expression [tex]4(1.20)^t[/tex] represents the population of rabbits each year. If x% represents the growth rate, hence:
b = 1.20
growth rate = 1.20 - 1 = 0.20
growth rate = 20%
The growth rate is 20%
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plzzz help me im trustin yall
Answer:
B
Step-by-step explanation:
(8x + 8)(x + 3) = [tex]8x^{2} +24x+8x+24[/tex] = [tex]8x^{2} +32x+24[/tex].
Which function is best represented by this graph?
Answer:
J
Step-by-step explanation:
The y-intercept is 3, and the slope is -1/2
Answer: G
the formula is y= mx+c
y -intercept (c) is what number it passes on the y-axis which is 3
to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2
Juan's mother gave him a recipe for trail mix.
3
4
cup cereal
2
3
cup almonds
1
3
cup raisins
1
2
cup peanuts
Order the ingredients used in the recipe from least to greatest.
Answer:
Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2
Step-by-step explanation:
This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)
what is 5/18 divided by 2/6
Answer:
0.02314814814 ooooorrrrr...... as a fraction..... 5/6
Step-by-step explanation:
I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!
Answer:
5/6 ( I think )
Step-by-step explanation:
Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!
Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!
If I'm wrong just use the info I gave you, and try it yourself!
I hope this helps, and have a great day!
P.S. Way 2 is easier than Way 1!
HELP PLEASEE!!
Could I have the answers or step by step because I am stuck please tell me!! :)
Answer:
1)
[tex] \frac{19}{12} \: or \: 1\frac{7}{12} [/tex]
2)
[tex] \frac{5}{21} [/tex]
A total of 110 gallons of water can follow through Hose B in minutes. Which hose has a faster water ow rate, in gallons per minute, and what is that rate?
Answer:
Hose B
Step-by-step explanation:
Charles needs to fill a large fish tank with water using a hose. he has two hoses from which to choose. Water flows through each hose at a constant rate. The graph below shows the amount of water, in gallons , that flows through holes A based on the number of minutes used. A total of 110 gallons of water can flow through Hose B in 10 minutes. Which hose has a faster water rate, in gallons per minute, and what is that rate?
Solution:
The equation of a linear function is:
y = mx + b
where m is the rate of change and b is the initial value of y.
The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the amount of water in gallons and let x represent the time in minutes.
For hose A, we can see that the graph passes through the point (0, 0) and (2, 12). Hence:
[tex]y-0=\frac{12-0}{2-0}(x-0) \\\\y=6x[/tex]
Therefore hose A has a flow rate of 6 gallons per minute.
110 gallons of water flow through hose B in 10 minutes. Therefore:
Flow rate of hose B = 110 gallons / 10 minutes = 11 gallons per minute
Therefore hose B has a higher flow rate
Charlotte and Edgar's ages add up to 22. Charlotte is one year
older than twice Edgar's age.
How old are Charlotte and Edgar? Show all of your work and/or
reasoning.
Answer: Charlotte's 15 and Edgar's 7
Step-by-step explanation:
7*2=14
14+1 = 15
15 + 7 = 22
Michael buys some items at a grocery store.
4 boxes of cereal at $3.45 per box
1
-1 pounds of oranges at $3.98 per pound
2 gallons of fruit juice at $4.35 per gallon
s=2πcx+3πc^2 solve for x
Answer:
x = (s - 3πc^2) / 2πc.
Step-by-step explanation:
s = 2πcx + 3πc^2
2πcx = s - 3πc^2
x = (s - 3πc^2) / 2πc.
The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
E(-1,4), F(5,6) and G (8,0)
For the coordinates to represent a parallelogram, the following must be true
[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
So, the equations become
[tex]x_D -(-1) =8-5[/tex] and
[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
[tex]x_D -(-1) =8-5[/tex]
[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
[tex]y_D =-2[/tex]
Hence, the coordinates of point D are (2,-2)
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(14 plus 42)divided by 7plus4 to the 2power
Answer:
Given info in numersical form:
(14+42)÷(7+4)²
= 56÷11²
= 56÷(11×11)
= 56÷121
= 0.46
Rosa deposits $5000 in a savings account that gets compounded interest annually at a rate of 8%. If she leaves her money in the account for 2 years, how much will she have at the end of that time?
Answer:
$5318
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
The restaurant bill you and your friend received was not itemized. You ordered 2 slices of waffles and 2 grand slams, for a total of $10.50. Your friend ordered 3 waffles and the one grand slam for $6.75.
(a) Write a system of equations for the situation. (Use w for the amount charged for a waffles and g for the amount charged for the grand slam.)
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.
Answer:
Step-by-step explanation:
The system would be 2w+2g=10.50 and 3w+g=6.75 because w is waffles and g is grand slam then you need to isolate w and graph or you could use desmos if you teacher permits to graph
I need help please (brainllest)
Answer:
Plant A: y=x+4
Plant B: y=1/3x+6
Answer:
Plant A: 1x + 4 = y; Plant B: 1/3x + 6 = y
Step-by-step explanation:
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100
Answer:
s+45≥100
Step-by-step explanation:
"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
I really need the answer QUICK please
Answer:
Answer is D
Step-by-step explanation:
(3,-7) and (1,-10) belong toD Variant
The required function is [tex]y=-\frac{3}{4}(x-3)^2-7[/tex] , so the correct option is D.
Important information:
Vertex = (3,-7)Other point = (1,-10)Quadratic function:The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex]
Where, [tex]a[/tex] is constant and [tex](h,k)[/tex] is vertex.
Substitute [tex]h=3,k=-7[/tex].
[tex]y=a(x-3)^2-7[/tex] ...(i)
Graph passes through the point (1, -10). Substitute [tex]x=1,y=-10[/tex] in (i).
[tex]-10=a(1-3)^2-7[/tex]
[tex]-10+7=4a[/tex]
[tex]-3=4a[/tex]
[tex]\dfrac{-3}{4}=a[/tex]
Substitute [tex]a=-\dfrac{3}{4}[/tex] in (i).
[tex]y=-\frac{3}{4}(x-3)^2-7[/tex]
Therefore, the correct option is D.
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4/10 + 1/2 please help-
Exact Form:
9 /10
Decimal Form:
0.9
Hope this helps :)
Answer:
4/10 + 1/2 would be 9/10 because 1/2 of 10 is 5 so 5/10 +4/10 would equal 9/10 hope that helps :)
Step-by-step explanation:
Factor this polynomial.
-3x² - 6x-2
Answer:
Doesn't factor
Step-by-step explanation:
We have a polynomial and are asked to factor it.
A rule I like to follow when factoring polynomials is what two numbers multiply to equal c (in this case -2) and add up to b (in this case -6x).
Since no two numbers are eligible to do this, therefore this polynomial is unfactorable.
Answer: -7 x2 -3x2
Step-by-step explanation:
Which of the following edges is parallel to AB?
DT
BC
QR
BR
Answer:
QR
Step-by-step explanation:
Other than all opposite pairs of sides are parallel, all other segments intersect at a point.
Answer:
QR
Step-by-step explanation:
QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.
Really stuck on this question plz help!
Answer:
a) 6:51
b)6:42
c)49 mins
Step-by-step explanation:
20 divided by c write an algebraic expression for the word expression
Step-by-step explanation:
The algebraic expression is
20
----
c
or
20/c
Find the missing angle:
40°
?
Answer:
50
Step-by-step explanation:
180 − ( 90 + 40 )
180 − 130
50
50 degrees is the missing angle in the triangle
The given triangle is right angle triangle
One angle is 90 degrees and the other angle in the triangle is 40 degrees
We have to find the missing angle in the triangle
By angle sum property the sum of the three angles is 180 degrees in the right triangle
Let x be the missing angle
90+40+x=180
130+x=180
Subtract 130 from both sides
x=180-130
x=50 degrees
Hence, the missing angle in the triangle is 50 degrees
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What is the value of X?
Answer:
[tex]x=45[/tex]
Step-by-step explanation:
Because the outer angles of a parallelogram always add up to [tex]360[/tex]°, the followijg equation can be used:
[tex]3x+x+3x+x=360→8x=360→x=45[/tex]
x-4(3-2x) =3(3x+4) is this many soultions no solutions
what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest
Answer:
503
------
3586
Step-by-step explanation:
that's as small as I can get it