Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation:
Solve the following system:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Choose an equation and a variable to solve for.
In the third equation, look to solve for x:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Solve for x.
Subtract 3 y from both sides:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute x = 4 - 3 y into the first and second equations:
{3 (4 - 3 y) + 2 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.
3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:
{12 - 7 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.
2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 12 - z from both sides:
{-7 y = z - 4
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Solve for y.
Divide both sides by -7:
{y = 4/7 - z/7
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute y = 4/7 - z/7 into the second equation:
{y = 4/7 - z/7
8 - 6 (4/7 - z/7) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.
8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for z:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Isolate terms with z to the left hand side.
Subtract 32/7 from both sides:
{y = 4/7 - z/7
(20 z)/7 = -60/7
x = 4 - 3 y
Hint: | Solve for z.
Multiply both sides by 7/20:
{y = 4/7 - z/7
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute z = -3 into the first equation:
{y = 1
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute y = 1 into the third equation:
{y = 1
z = -3
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1 , y = 1 , z = -3
Angle 1 and Angle 2 are supplementary. The measure of Angle 2 is 78
less than the measure of Angle 1. Find the measure of Angle 2
Answer: Angle 1 is 129 degrees. Angle 2 is 51 degrees.
Step-by-step explanation: 129+51=180 129-51=78
I WILL MARK BRAINLIEST!! Split 84 into two parts so that one part is five times the other part. I need the smaller number and the bigger number.
Answer:
70 and 14
Step-by-step explanation:
You divide 84 into 6 parts, so you get 70 and each part is 14, 14x5=70 then if you add 14 its 84.
Whats the Quotient for 2 =3y
Answer:
-2*(3y).
Step-by-step explanation:
-2*(3y). −2⋅(3y) - 2 ⋅ ( 3 y ). Multiply 3 3 by −2 - 2 . −6y - 6 y. −2⋅(3y) - 2 ⋅ ( 3 y ) ...
I JUST NEED THE AREAS. 40 POINTS AND BRAINLIEST ANSWER TO THE PERSON WHO GETS IT RIGHTT
Answer:
see below
Step-by-step explanation:
The parallelogram on the left has an area of
A = bh
A = 7*4 = 28 ft^2
The rectangle on the right has an area of
A = bh
A = 8*15 = 120 cm^2
Step-by-step explanation:
For the parallelogram
Area of a parallelogram = b × h
where
b is the base
h is the height
From the question
b = 7 ft
h = 4 ft
So the area is
Area = 7 × 4 = 28 ft²For the rectangle
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
l = 15 cm
w = 8 cm
So the area is
Area = 15 × 8 = 120 cm²Hope this helps you
What is the next term In the sequence? 1, 4, 9, 16, __
Answer:
25
Step-by-step explanation:
Everytime, you add a value number 2 greater than the previous.
1+3=4
4+5=9
9+7=16
16+9=25
━━━━━━━☆☆━━━━━━━
▹ Answer
25
▹ Step-by-Step Explanation
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
The pattern is increasing the value of which is added by two each time:
3 + 2 = 5
5 + 2 = 7
7 + 9 = 16
9 + 16 = 25
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
7x2x2x2 is the prime factorization for which of the following
А
72
B
56
С
44
D
28
What was the total distance covered by the racers in kilometers
Ordering Rational Numbers
Answer:
0.07 < 7/50 < 0.5
Step-by-step explanation:
7/50=0.14
=>0.07<0.14<0.5
skip count 3 times by hundreds. skip count 2 times bytens. there is a 9 in the ones place. the number is?
Use the properties of limits to help decide whether the limit exists.find its value. limx^2 5x-36/x^2-16
Answer:
The value of limit = [tex]\frac{13}{8}[/tex]
Step-by-step explanation:
Explanation:-
Given [tex]\lim_{x \to 4} \frac{x^{2}+5 x-36 }{x^{2}-16 }[/tex]
= [tex]\lim_{x \to 4} \frac{x^{2}+9 x-4 x-36 }{(x-4)(x+4) }[/tex]
= [tex]\lim_{x \to 4} \frac{(x(x-4)+9(x-4) }{(x-4)(x+4) }[/tex]
=[tex]\lim_{x \to 4} \frac{((x-4)(x+9)}{(x-4)(x+4) }[/tex]
= [tex]\frac{4+9}{4+4}[/tex]
= [tex]\frac{13}{8}[/tex]
Hence the limit exists and The value of limit = [tex]\frac{13}{8}[/tex]
Matt has two very active dogs...
Solve the equation,
5x + 6 = 2(2x - 3)
I
4(7x+3)=-3(2-9x) Please I need it quickly. It for school
Answer: x=-18
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \huge{ \fbox{ \sf{x = - 18}}}[/tex]
Step-by-step explanation:
[tex] \text{4(7x + 3) = - 3(2 - 9x)}[/tex]
[tex] \text{Step \: 1 \: : Distribute \: 4 \: through \: the \: parentheses}[/tex]
[tex] \hookrightarrow{ \sf{28x + 12 = - 3(2 - 9x)}}[/tex]
[tex] \text{Step \: 2 \: : Distribute \: - 3 \: through \: the \: parentheses}[/tex]
[tex]\hookrightarrow{ \sf{28x + 12 = - 6 + 27x}}[/tex]
[tex] \text{Step \: 3 \: : Move \: 27x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \hookrightarrow{ \sf{28x - 27x + 12 = - 6}}[/tex]
[tex] \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \hookrightarrow{ \sf{28x - 27x = - 6 - 12}}[/tex]
[tex] \text{step \: 5 \: : Collect \: like \: terms}[/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \hookrightarrow{ \sf{x = - 6 - 12}}[/tex]
[tex] \text{step \: 6 \: : Calculate}[/tex]
[tex] \text{ \underline{ Remember!}} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]
[tex] \hookrightarrow{ \boxed{ \sf{x = - 18}}}[/tex]
Hope I helped!
Best wishes ! :D
~[tex] \text{TheAnimeGirl}[/tex]
2
15) John traveled 166.25 miles and used 9
gallons of gas. How many miles per gallon
does John's car get?
Answer:
18.472 miles
Step-by-step explanation:
[tex]166.25 \: miles = 9 \: gallons \\ x \: miles = 1 \: gallons[/tex]
Cross Multiply
[tex]9x = 166.25[/tex]
Divide both sides of the equation by 9
[tex] \frac{9x}{9} = \frac{166.25}{9} [/tex]
[tex]x = 18.472[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{18.472 \: miles}}}}}[/tex]
Step-by-step explanation:
Distance travelled = 166.25 miles
gallons of gas used = 9 gallons
To find : 1 gallons of gas = ? miles
In unitary method, we have to obtain unit quantity. So, to find the distance travelled using 1 gallons of gas, 166.25 is divided by 9
[tex] \sf{ \frac{166.25}{9} }[/tex]
[tex] \dashrightarrow{ \sf{18.472 \: miles}}[/tex]
Hope I helped!
Best regards!
I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month
Complete question :
I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be __________ dollars per month."
Answer:
$109.65
Step-by-step explanation:
Given the following :
Current rate = $129.00
Savings on current rate = 15%
Therefore, the adjusted rate will be 15% off the currently charged rate.
15% of $129.00
(15/ 100) × $129.00
0.15 × $129.00 = $19.35
Adjusted rate = current rate - adjustment
Adjusted rate = $129.00 - $19.35
Adjusted rate = $109.65
Hence, complete response :
We will match any competitive offer. Your adjusted rate will be $109.65 dollars per month."
Solve for q in terms of m : m=2q−4/ q−5
Answer:
q = (4 - 5 m)/(2 - m)
Step-by-step explanation:
Solve for q:
m = (2 q - 4)/(q - 5)
Hint: | Reverse the equality in m = (2 q - 4)/(q - 5) in order to isolate q to the left hand side.
m = (2 q - 4)/(q - 5) is equivalent to (2 q - 4)/(q - 5) = m:
(2 q - 4)/(q - 5) = m
Hint: | Multiply both sides by a polynomial with respect to q to clear fractions.
Multiply both sides by q - 5:
2 q - 4 = m (q - 5)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
2 q - 4 = m q - 5 m
Hint: | Isolate q to the left hand side.
Subtract m q - 4 from both sides:
q (2 - m) = 4 - 5 m
Hint: | Solve for q.
Divide both sides by 2 - m:
Answer: q = (4 - 5 m)/(2 - m)
The width of a rectangle is 4 inches less than the length. The perimeter is 60 inches. Find the length and the
width
Answer:
Length=17
width=13
Step-by-step explanation:
W=width
L=length
Perimeter = 2w+2l since it's a rectangle
W=l-4 (given)
Plug into perimeter equation
Perimeter =(2l-8)+2l
=4l-8
60=4l-8
68=4l
17 =l
W=l-4=17-4=13
which of the following is the correct conversion rate to multiply by in order to convert from meters per second to centimeters per second 100 seconds/1 m 100 m/ 1 cm 100 cm/1 second 100 cm/ 1 m
Answer:100cm/1m
Step-by-step explanation:
What is 10 decreased by m
Answer:
m-10
Step-by-step explanation:
If it said M decreased by 10, it would be 10-m, but because it says 10 decreased by m, the answer is m-10
The chi-square goodness-of-fit test can be used to test for:
Answer:
In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area
Step-by-step explanation:
In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area
61 points!!! The line is perpendicular to the x-axis and passes through (1,2) The equation of t he line is
Write the rule for the table, use x for the input.
Input Output
-1,0,1,2,3,4 1,9,17,25,33,41
Step-by-step explanation:
so you take the numbers and put them in order from least to greatest. so it would be negative -1, 0, 1, 1, 2, 3, 4, 9, 17, 25, 33, 41 .
Part a: A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices. If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once. Part b: Given that the deli ends up using $110$ slices of bread, how many people are going to the company picnic?
Answer:
Um...
I know the answer to Part A, but not to Part B.
Step-by-step explanation:
The answer for Part A is 7n + 5. Hope this helps!
8x - 27 - 10 - 6x = 15
2x - 27 - 10 = 15
2x - 17 = 15
+ 17 + 17
2x = 32
X = 16
Step-by-step explanation:
8x-37-6x=15
2x=15+37
2x=52divide both sides by 2
x=26
Why is this answer wrong and how do you do it?
Answer:
F'(x) = 2x eˣ¹⁴ − eˣ⁷
Step-by-step explanation:
You're close. According to second fundamental theorem of calculus:
If F(x) = ∫ₐᵇ f(t) dt, then F'(x) = b' f(b) − a' f(a).
F(x) = ∫ₓˣ² eᵗ⁷ dt
F'(x) = (2x) e⁽ˣ²⁾⁷ − (1) e⁽ˣ⁾⁷
F'(x) = 2x eˣ¹⁴ − eˣ⁷
Express 120 as a percentage of 75
Answer:
90Step-by-step explanation:
[tex]120\% \: of\:75\\\\= \frac{120}{100} \times75\\\\\frac{120}{100} \times \frac{75}{1} \\\\= \frac{9000}{100} \\\\ =90[/tex]
f(x) = 2x g(x) = x + 5 h(X) = 3x - 7 What is the correct set up for h(f(x))?? *
A. 2(3x - 7)
B. 3(2x) - 7
C. (3x - 7) + 5
D. 3(x + 5) - 7
Answer:
bStep-by-step explanation:
Can someone help me understand this
First (Takeaway 4 from 46) Then (divide 6 and 2 and after THAT multipy it with 3) Finally only if needed (Multiply both answers to get the one you need)
Answer:
10
Step-by-step explanation:
46 - 4×(6÷2×3)= ⇒ solve parenthesis, division and multiplication have same priority so start from left to right46 - 4×(3×3) = ⇒ multiplication46 - 4×9 = ⇒ multiplication46 - 36 = ⇒ subtraction10 ⇒ answerExample of non-statistical question , statistical question
Answer: A non-statistical For example, the question, 'What is 2 plus 2?' is a non-statistical question. This question has only one correct answer that doesn't change
A statistical question For example, there will likely be variability in the data collected to answer the question, "How much do the animals at Fancy Farm weigh?"
hoped this helped
The price of an item has been reduced by $8.35. The new sale price is $21.36. What was the original price. answer fast!
Answer:
$29.71
Step-by-step explanation:
just add the reduced price to the amount you took away: 8.35+21.36=29.71
Answer:
$29.71
Step-by-step explanation:
$21.36 + $8.35 = $29.71
hope this helps pls give brainliest