Answers
Answer:
2x + y = 12 & x = 9 - 2y --- (x = 5, y = 2)
x + 3y = 16 & 2x - y = 11 --- (x = 7, y = 3)
y = 11 - 2x & 4x - 3y = -13 --- (x = 2, y = 7)
2x + y = 11 & x - 2y = -7 --- (x = 3, y = 5)
Step-by-step explanation:
Related Questions
1. Solve this quadratic by factoring
6x^2+7x-5=0
2. Solve this quadratic by factoring x^2+5x-14=0
3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0
4. Solve this quadratic by factoring
X^2-25=0
5. Solve this quadratic by factoring
X^2-6x=0
Please show work.
Answers
ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?
Answers
Answer:
width = 26 ft
length = 54 ft
Step-by-step explanation:
perimeter = 160 ft
width = x
length = x + 28
Perimeter = 2(width) + 2(length)
[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]
width = x = 26
length = x + 28 = 26 + 28 = 54
Factor the four-term polynomial.
pq - 2r + pr-29
Answers
Your answer should be -18?
A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?
Answers
Answer:
28
Step-by-step explanation:
You can have 8 1x2 verical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
1+7+1+9+10=28
please help me i’m so confused
Answers
We need to find the angle they are calling “1”, at the bottom of the triangle on the far left of the diagram. In order to find that angle, we have to find the other 2 angles first.
The top left corner of the diagram is marked as a right angle (90 degrees) with a line dividing that angle. If one part is 36 degrees, the other is 54 (90-36=54).
Now look in the middle of the diagram where the 2 lines criss-cross. A straight line is 180 degrees...since we see that the one angle in the middle is 88 degrees, the other part of it must be 92 degrees (180-88=92).
You now know 2 of the 3 angles...54 and 92. All 3 angles of a triangle = 180 degrees so we can write this equation...
54 + 92 + (angle 1) = 180
So angle “1” = 34 degrees
12y - 4 what is answer
Answers
Answer: 4(3y−1)
Step-by-step explanation:
Answer:
4(3y - 1)
Step-by-step explanation:
To factor this find the greatest common factor of 12y and -4, which would just be 4.
Then, you have 4(3y - 1)
What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4
Answers
Answer:
2×+y=-1
Do you think I'm right???
Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.
Answers
Answer:
Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.
Step-by-step explanation:
HelP I have to turn this in tomorrow!!!
Answers
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
2x + 7 =30, x = 3 true or false
Answers
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
At a basketball game, a team made 58 successful shots. They were a combination of 1- and 2-point shots. The team scored 99 points in all. Write and solve a system of equations to find the number of each type of shot.
Answers
Step-by-step explanation:
Step-by-step explanation:
1.Right
2.Left
3.Bottom Middle
plz help !!!!!!!!!!!!
Answers
Answer:
A.) $0.89
Step-by-step explanation:
2(4x+3y=7.43)
-3(5x+2y=7.03)
8x+6y=14.86
-15x-6y=-21.09
add the two equations
-7x=-6.23
divide by -7
x=.89
Answer:$0.89
Step-by-step explanation:
Solution by substitution method
4n+3p=7.43
5n+2p=7.03
Suppose,
4n+3p=7.43→(1)
5n+2p=7.03→(2)
Taking equation (1), we have
4n+3p=7.43
⇒4n= -3p+7.43
⇒n = -3p+7.43/4
→(3)Putting n= -3p+7.43/4 in equation (2), we get
= 5n+2p=7.03
= 5(-3p+7.43/4)+2p=7.03
⇒-15p+37.15+8p=28.12
⇒-7p + 37.15=28.12
⇒-7p=28.12 - 37.15
⇒-7p=-9.03
⇒p=9.03/7
⇒p= 1.29→(4)
Now, Putting p=1.29 in equation (3), we get
n=-3p+7.43
n= -3(1.29)+7.43 / 4
⇒n= -3.87+7.43 / 4
⇒n= 3.56 / 4
⇒n=0.89
∴n= $0.89 and p=1.29
0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!
Answers
9514 1404 393
Answer:
y = -3.75
Step-by-step explanation:
Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.
0.10(y -7) +0.02y = 0.20y -0.4
0.10y -0.70 +0.02y = 0.20y -0.40
-0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms
-0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y
-0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y
What is the answer?? Please
Answers
9514 1404 393
Answer:
not similar
Step-by-step explanation:
"Triangle" DPS cannot exist. Sides DP and DS are not long enough.
__
Side ratios are not the same. In the top triangle, the length ratios are ...
14 : 16 : 19
In the bottom triangle, the length ratios are ...
7 : 8 : 19 (such a triangle cannot exist)
Since the ratios are not the same, the triangles are not similar.
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answers
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
Please help. Due today!
Answers
Have a great day :)
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
Answers
2) -5
3) -7
4) -9
Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)
a= term position
a(n)= nth term
a1= first term
i need help with these questions...
k + 8 ≥ 18
2x + 3 ≤ 13
solve for the variables
Answers
x ≤ 5
I think these are the answers
Which postulate make the triangle congruent.?? help please
Answers
x - y = 2
x + y = -3
Solve this using elimination
Quickly please!!!!
Answers
The answer for y=-5/2
I believe these are correct
Please help me answer this question. Can you the doc
Answers
Answer:
I opened the doc but what's the question..? I only see attendance..
Step-by-step explanation:
The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?
Answers
Answer:did you get the answer???
Step-by-step explanation:
Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).
Daily fees for the Fun Town amusement Park are,
Adult → $10 eachChild → $5 eachIf there were 'a' adults and 'c' children in the park yesterday,
Total amount to be paid = $(10a + 5c)
Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).
Learn more,
https://brainly.com/question/15805316
the question is:
Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.
the equation: 2^-1+5^0
Answers
Answer:
That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.
plz rate me brainiest
Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)
Answers
Answer:
138.16 cm
Step-by-step explanation:
Recall that the formula for calculating the circumference is pi times diameter.
Circumference = 44 x 3.14 cm = 138.16 cm.
Tina has 10 packages of yarn to knit a scarf. She uses ⅓ package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answers
Answer: 30
Step-by-step explanation:
From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.
Since she used all the yarn, the length of the cloth would be:
= 10 ÷ 1/3
= 10 × 3
= 30 inch
HELPPPP!!!! ASAPPPPP!!!! TIMEDDDDD!!!!
Answers
Answer:
Yoyo and yoyo
Step-by-step explanation:
along with this one please
Answers
Hope this was helpful
Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?
A10
6
B4
10
C6
10
D10
4
Answers
How many times do 8 go into 5
Answers
it goes into five 0 times
Answer:
0 Times
Step-by-step explanation:
The answer is 0 times!
This is due to the concept in which 8 is a bigger number than 5.
Identifying Congruent Triangles
Find the measure of The missing angles
Answers
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
brainly.com/question/4364353
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The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
