b it is b sorry if it is wrong
The value of equivalent expression is,
⇒ 25z⁴ + 30z³ + 29z² + 12z + 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (5z² + 3z + 2)²
Now, We get;
⇒ (5z² + 3z + 2)²
⇒ 25z⁴ + 9z² + 4 + 30z³ + 12z + 20z²
⇒ 25z⁴ + 30z³ + 29z² + 12z + 4
Thus, The value of equivalent expression is,
⇒ 25z⁴ + 30z³ + 29z² + 12z + 4
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Solve the following system:
y = 5x
3x + 2y = 52
Your answer:
After putting the value of y into the eq. (ii) ,
[tex] \sf 3x + 2 \times 5x = 52[/tex]
[tex] \sf ⇒ \: 3x + 10x = 52[/tex]
[tex]⇒ \sf13x = 52[/tex]
[tex] \sf ⇒x = 4[/tex]
After putting the value of x into the eq. (1)
[tex] \sf \: y = 5 \times 4[/tex]
[tex]⇒ \sf y = 20[/tex]
Hence, the value of x is 4
& the value of y is 20.
Cecile packages snack mix at a health food store. She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply? 18 pounds 23 pounds
Given:
Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix and [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix.
Cecile uses 10 pounds of sunflower seeds.
To find:
The total pounds of seeds in her supply.
Solution:
Let x be the total pounds of seeds in her supply.
Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix, i.e., [tex]\dfrac{1}{3}x[/tex].
Cecile uses [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix, i.e., [tex]\dfrac{2}{9}x[/tex].
Total sunflower seeds used = 10 pounds.
[tex]\dfrac{1}{3}x+\dfrac{2}{9}x=10[/tex]
[tex]\dfrac{3x+2x}{9}=10[/tex]
[tex]5x=10\times 9[/tex]
[tex]5x=90[/tex]
Divide both sides by 5.
[tex]x=18[/tex]
So, there are 18 pounds of seeds in her supply.
Therefore, the correct option is A.
what is the solution to the following system? (picture)
a. (2,3,4)
b. (4,3,-2)
c. (4, 3, 2)
d. (6, 7, -2)
option C
PLS MAKE ME AS THE BRAINLIEST ANSWER
There are 3 red marbles, 2 blue marbles, and 7 black marbles if you choose one marble, what is the probability that it will be a red marble?
Answer:
3:12
Step-by-step explanation:
3 + 2 + 7 = 12
3 = red marbles
12 = total marbles
Answer:
Probability of both red =3(182)=3(18!2!16!)=3153
Step-by-step explanation:
Let Ai be the event in which the i-th ball you grab is red. For the first ball you choose, you have 3 red marbles out of a total of 18. Therefore,
P(A1)=318.
For the second marble you grab, given that you already took a red one, that is, given A1, you have 2 red balls out of a total of 17, then
P(A2∣A1)=217.
Finally,
P(A1∩A2)=P(A1)P(A2∣A1)=318217=151.
Find the value of (7x+17) (8x+2)
Answer:
Step-by-step explanation:
7x+17+8x+2)
7x+17+8x+2
7x+8x+17+2
15x+19.
Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill
was $99, how many people ordered each dinner?
Answer:
We conclude that:
The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5Step-by-step explanation:
Given that
Some order the chicken dinner for $14some order the steak dinner for $17.Total bill = $99Let 'n' be the number of people who ordered the chicken dinner.Let '6-n' be the number of people who ordered the steak dinner.Thus, the equation becomes
[tex]14n + 17(6-n) = 99[/tex]
[tex]14n + 102 - 17n = 99[/tex]
[tex]-3n = 99 - 102[/tex]
[tex]-3n = -3[/tex]
Divide both sides by -3
[tex]n = 1[/tex]
and
[tex]6-n = 6-1 = 5[/tex]
Therefore, we conclude that:
The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5A rollercoasterbrises 210 feet into the air, drops 240 feet, rises 80 feet before dropping another 30 feet again. Finally the rollercoaster drops another 50 feet. What is the height of the rollercoaster after the last drop
Answer:
-30 feet
Step-by-step explanation:
What we know:
The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.
After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.
210 - 240 = -|240-210| = -|30| = -30 feet
After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.
-30 + 80 = |80 - 30| = |50| = 50 feet
Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.
50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop
WRITE THE EQUATION, IN THE FORM y=mx + b, that represents the line shown on the graph.
Answer:
y = 3/2x - 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from graph.
y-intercept (0, -2)
Random Point (2, 1)
Step 2: Find slope m
Substitute [slope formula]: [tex]m=\frac{1+2}{2-0}[/tex]Add/Subtract: [tex]m=\frac{3}{2}[/tex]Step 3: Write equation
Substitute into General Form
y = 3/2x - 2
Which of the following exponential functions has a horizontal asymptote at y = –2 ? f (x) = 2(–x + 2) f (x) = 2(–x – 2) f (x) = –2x + 2 f (x) = –2x – 2
An exponential function with a horizontal asymptote at y = -2 will be of the form:
f(x) = 2^(-x) - 2
Which of the following exponential functions has a horizontal asymptote at y = -2?An exponential equation will have a horizontal asymptote when the exponent, x, has a negative sign. This will cause that as x tends to infinity, the exponential part of the function will tend asymptotically to zero.
Now, if we want to have an horizontal asymptote at y = -2, then we also need to have a constant term equal to -2 which takes weight as x tends to infinity, and the other part of the function becomes almost zero.
So the function will be something like:
f(x) = 2^(-x) - 2
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the exponential function that has a horizontal asymptote at y = –2 is
D. f (x) = –2x – 2
100% correct
is y equals 3x + 2 proportional number or non proportional
Answer:
Non-proportional
Step-by-step explanation:
because it has a y-intercept of 2 in order for it to be proportional its y-intercept should be 0.
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. What will be the account balance after 20 years?
Answer: The interest customer earn in 20 years will be, $ 660
Step-by-step explanation :
Given:
Principle = $3000
Interest rate = 1.1 %
Time = 20 years
Now we have to determine the simple interest.
Formula used :
where,
P = principle
R = interest rate
T = time
S.I = simple interest
Now put all the given values in the above formula, we get:
Thus, the interest customer earn in 20 years will be, $ 660
Hoped this help :) I’m also a fan of flimflam
In the diagram find the mZEFG.
A)
20 degrees
B)
30 degrees
C
40 degrees
D)
80 degrees
HELPPPPP
87/2 in its simplest form
What is the value of x in the equation below?
29.46=13.82+4x
Answer:
x=3.91
Step-by-step explanation:
29.46=13.82+4x
13.82+4x=29.46
subtract 13.82 from both sides
4x=15.64
divide by 4
x=3.91
Sergio’s job is just a few bus stops away from his house. While it can be faster to take the bus to work, it’s more variable, because of variations in traffic. He estimates that the commute time to work by bus is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 4 minutes. The commute time if he walks to work is also approximately Normally distributed with a mean of 16 minutes with a standard deviation of 1 minute. What is the probability that the bus will be faster than walking?
9514 1404 393
Answer:
A. 0.8340
Step-by-step explanation:
The mean difference between walking time and bus time is the difference of their means: 16 -12 = 4 minutes.
The variance of the difference between walking time and bus time is the sum of the variances of the two distributions:
(4 min)² +(1 min)² = 17 min²
Then the probability that walking will be slower is the probability that the difference is greater than 0.
P(dif > 0) = P(Z > (0 -4)/√17) = P(Z > -0.970143)
P(dif > 0) ≈ 0.8340
The probability the bus will be faster is about 0.8340.
What are the three methods to solve a system of linear equations?
I need help with this
Answer:
(x-7, y+3)
Step-by-step explanation:
y+3 because the translated image goes up three
-you just have to count the dots.... its ez
Write the equation in slope intercept form y - 4=10(x-5)
Answer:
y= 10x - 46
Step-by-step explanation:
slope intercept form model: y=mx+b
what is the distance between -8 and -1.9 on a number line?
Answer:
6.1
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
the distance between the two number is 6.1
What is the domain of the given function?
(-1, 1), (0, -2), (1, 3), (3, 0)
A. {0, 1, 2, 3}
B {-2,0, 1, 3}
C {-1, 0, 1, 3}
D (-2,-1, 0, 1, 2, 3}
Answer: i think it is A pls correct me if i'm wrong :)
Step-by-step explanation:
Determine the area of the following parallelogram. Show your work.
10 yd
9 yd
7 yd
Step-by-step explanation:
Area of parallelogram = base * height
Area = 7*9
Area = 63 yd^2
Answer:
63yd²Step-by-step explanation:
Here,
Base = 7Height = 9So,
We know that,
Area of Parallelogram = b × h
→ 7 × 9
→ 63yd²
Thus,
Area of Parallelogram is 63yd²cos2x-cos 4x
lim
x-0 1-cos 2x cos 4x
After evaluating the limit we get the answer as 3/5.
Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x
= limₓ₋₋₎₀ cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)
= limₓ₋₋₎₀ -2cos² + cos2x +1/₋2cos³2x + cos2x + 1
let u =cos2x that is, u → 0
= limu₋₋₎₁ -2u²+u+1/₋2u³+u+1
= limu₋₋₎₁ 2u + 1/2u²+2u+1
= 2+1/2×1² + 2 × 1 +1
= 3/2+2+1
= 3/5
hence we get the value as 3/5.
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HELP HELP HELP ASAP PLEASE IM STUCK
Answer:
I would say A?
Step-by-step explanation:
if i'm not right im sorry :(
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary)
15, 30, 60,...
Find the 6th term.
Answer:
960
Step-by-step explanation:
60× 2
120×2
240×2
480 ×2 = 960
Some help would be appreciated !!
Find the perimeter.
perimeter = 2(x - 6y) + 2(8x² - x - 4y)
2x - 12y + 16x² - 2x - 8y
= 16x² - 20y units
Easy Question
Easy Answer
-------------------
Find & Explain Mistake
Answer:
added 9dollar inestend of 9.5%
Step-by-step explanation:
Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%. At the end of the 3 1/2 years, how much interest has he paid?
Answer:
the interest that have to paid is $9,676.91
Step-by-step explanation:
The computation of the interest to be paid is as follows:
= Future value - initial value
= $10,200 × (1 + 0.21)^3.5 - $10,200
= $19,876.91 - $10,200
= $9,676.91
Hence, the interest that have to paid is $9,676.91
We simply applied the above formula so that the correct value could come
And, the same is to be considered
5 questions plzzzzzz answer!!
1. 3x+10=4
X=?
2. 3x-8=13
X=?
3. 12=8x+4
X=?
4. -1+2x=11
X=?
5. -7=-3-x
X=?
Answer:
1) -2
2) 7
3) 1
4) 6
5) 4
Which equation has a solution of (-2,1)?
A. y=-2x+1
B. y=2x-1
C. y=-2x-3
D. y=2x+3
PLEASE HELP ME!!!!! PLEASE I WANT TO GET THIS RIGHT
What is the price per pound for Fuji apples?
What is the price per pound for Golden Delicious apples?
What is the price per pound for Macintosh apples?
Answer:
Step-by-step explanation:
Fuji Apples: 7/6 = $1.16
Golden Delicious Apples: 1/0.75 = 100/75 = $1.33
Macintosh Apples: $2
Hope this helps! :3
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