Answers
4. If x = y + 3, then in the second equation you can write
-3 (y + 3) + 3y = 6
Expanding and simplifying gives
-3y - 9 + 3y = 6
-9 = 6
but this is clearly not true, so this system as no solution.
5. Solve the first equation for x :
x + 2y = 4 ===> x = -2y + 4
Substitute into the other equation:
2 (-2y + 4) - 3y = 1
-4y + 8 - 3y = 1
-7y = -7
y = 1
Solve for x :
x = -2•1 + 4
x = -2 + 4
x = 2
6. Solve the first equation for y :
2x - y = 6 ===> y = 2x - 6
Substitute into the other equation:
x + 2 (2x - 6) = -2
x + 4x - 12 = -2
5x = 10
x = 2
Solve for y :
y = 2•2 - 6
y = 4 - 6
y = -2
7. Solve either equation for x :
x + 4y = 10 ===> x = -4y + 10
Substitute into the other equation:
(-4y + 10) - 2y = -8
-6y = -18
y = 3
Solve for x :
x = -4•3 + 10
x = -12 + 10
x = -2
8. Solve the first equation for y :
-2x + y = 1 ===> y = 2x + 1
Substitute into the other equation:
4x - 2 (2x + 1) = 5
4x - 4x - 2 = 5
-2 = 5
This is false, so there is no solution.
9. Solve the second equation for x :
-x - 4y = -3 ===> x = -4y + 3
Substitute into the other equation:
2 (-4y + 3) + 8y = 6
-8y + 6 + 8y = 6
0 = 0
This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.
Related Questions
Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?
Answers
Answer:
2
Step-by-step explanation:
find how many fourths are in a half:
1/2 = 2/4
if there's 2/4 in a half, then she filled two bottles
have a wonderful day :)
Please help, I’ll mark your answer as brainliest!
Answers
Answer:
1,234 thats the answer
how do i write 5z in expanded notation
Answers
Please help complete the table to show the coefficents of each term in the expression
Answers
Answer:
In order from left to right
5,0,0,-4,0,0,8
Step-by-step explanation:
A coefficient is a number that comes before the variable in an equation. First of all, it is important to note that variables that are not present in the equation have a coefficient of 0. This is because 0 times a number is 0; therefore, if a variable is not present it must be multiplied by 0. Additionally, constants can be represented as [tex]x^0[/tex]. Any number raised to the power of 0 is 1. Thus, the coefficient of x^0 is 5 because 1*5=5. Finally, the numbers 8 and -4 appear before [tex]x^6[/tex] and [tex]x^3[/tex], respectfully. Since they come before variables in a term they must be coefficients.
John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answers
Answer:
8.25+50
Step-by-step explanation:
okay now i rlly need this done man
Answers
Answer:
x=9.5
EDIT: Its actually x=6Step-by-step explanation:
Brainliest?PLEASE?Answer:
4
8
+
2
{\color{#c92786}{\frac{4x}{8}}}+2
84x+2
2
+
2
Step-by-step explanation: please mark brainliest
Please help me with this question
Answers
Explanation-
cho tập hợp A=(2;7)và tập hợp B=[7;10]tìm tập hợp a∩B
Answers
sorry po di ko ma intindihan
Step-by-step explanation:
sorry po
Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?
Answers
Answer:
17 books
Step-by-step explanation:
Let f(x)=5x^4 and g(x)=e^2x+x. If h is the function defined by h(x)=f(g(x)), which of the following gives a correct expression for h′(x)?
Answers
The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
Given,
f(x)=5x^4 and g(x)=e^2x+x.
If h is the function defined by h(x)=f(g(x)),
We need to find h′(x).
What is the differentiation formula for the following?We have,
dx/dx = 1
d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]
d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]
d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]
d(cx)/dx = c(dx/dx) = c
We have,
- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)
- h(x)=f(g(x)) _______(3)
Now,
h(x) = f ( [tex]e^{2x}[/tex]+x )
From (1)
h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)
Now,
Differentiate (4)
h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx
h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx
h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )
h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 )
Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex] (2[tex]e^{2x}[/tex] + 1 ).
Option C is the correct answer.
Learn more about differentiation here:
https://brainly.com/question/24062595
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what is the mean of a standard normal distribution?
Answers
The standard normal distribution is a normal distribution with mean μ = 0
PLS HELP ME ASAP
NO LINKS
1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?
3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.
4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7
5. What is the slope from (-1,2) to (2,-2)?
6. How many different ways can you write the letters a, b and c in order from left to right?
Answers
Answer:
1. 3/6 or 3 out of 6
2. 6 times
3. 50.24mm²
4. 2.4
5. -4/3
6. 6 i think, but i'm not positive on this one
have a wonderful day :)
how many eighths are in 1/3?
Answers
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
Learn more about expressions here:
https://brainly.com/question/3118662
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PLS HELP GIVING BRAINLIEST!
Given f(x)=3x^2+x−5, find: f(−1)
Answers
Answer:
-3
Step-by-step explanation:
its very easy correct me if im wrong brainliest btw
Help please thank you so much!
Answers
g(1/4) = 5/(1/4) = 5 * 4 = 20
Solution: 20
Answer:
Answer: 20
Step-by-step explanation:
2^2-4=0.25
5/0.25=20
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15
Answers
Answer:
a is the answer
Step-by-step explanation:
here
The sum of twice a number and 6
Answers
Answer:
The answer to your question is 4
The sum of twice a number and 6 is 4.
can somebody tell me what this is please ?
Answers
(3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]
(3/5)n - (2/5)n = 10 -15 [simplify]
(1/5)n = -5 [multiply both sides by 5]
n = - 25
Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)
Answers
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (1, 5 ) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = 3x + 2 ← equation of parallel line
Plz plz help fast
I will mark Brainlyist
Answers
Answer:
forgive me i need points
Step-by-step explanation:
Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answers
Answer:
c<$12
Step-by-step explanation:
$26-$14>c
$12>c
c<$12
Answer:
14 + c ≤ 26
Step-by-step explanation:
Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!
how many grams of paint are needed to color the rectangular box below, if 5 grams of the paint are needed to color one small cube.
Answers
Answer: 210 grams
Step-by-step explanation:
Given,
One cube= 5 grams of paint
According to question,
There are= (9*2)+(6*4) cubes
= 18+24 cubes
=42 cubes
Total paint needed= 5*42 grams
=210 grams(answer)
will mark brainliest
Answers
Answer:
148 deger ❤❤❤❤❤❤❤❤❤❤
32 meter
I beat the wither and the ender dragon what next
Answers
6.5 x 1/9 please help
Answers
Answer:
13/18
Step-by-step explanation:
6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18Therefore, 6.5 · 1/9 = 13/18.
Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)
Answers
Answer:
66-3i
Step-by-step explanation:
(4-3i)-(9-71)
(4-3i)-(-62)
(4-3i)-62
66-3i
Find the area I will make you Brainliest (show working)
Answers
Answer:
Step-by-step explanation:
5 * 3 = 15
8 * 9 = 72
Add
Answer = 87 cm^2
Melinda put 64 pieces of cake on a table. She placed them in 8 rows with the same number in each row. Each row had an equal number of two flavors of cake. How many pieces of each flavor were in one row?
( ugh math)
Answers
Answer:
There were 4 pieces
Step-by-step explanation:
5/7 divided by 2/7. Divide
Answers
Answer:
2.5 am i right
please mark me as brainliest
Answer:
2.5 or 35/14
Step-by-step explanation:
-65 is 5 times a product of 5 and a number
Answers
Answer:
Step-by-step explanation:
=-65*5
=-325