Answer:
x = 3 or x = 7
Step-by-step explanation:
X² - 8x + 14 = 2x - 7
x² - 8x + 14 - 2x + 7 = 0
Now we have a quadratic equation ;
x² - 10x + 21 = 0
-3 and - 7 gives a sum of - 10 and a product of 21
x² - 3x - 7x + 21 = 0
x(x - 3) - 7(x - 3) = 0
(x - 3) = 0 or (x - 7) = 0
x = 3 or x = 7
Find the solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, –1)
Answer:
it should be A but im not fully sure
Answer:
B (4,1). ( look at the point of intersection x-axis is at 4 and y is at 1) so it is (4,1)
17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?
Answer:
0.48$
Step-by-step explanation:
Cost of 1 Apple = A
Cost of 1 Orange = O
Six apples and three oranges cost $3.36 equivalent to:
6A + 3O = 3.36 (1st equation).
Two apples and five oranges cost $3.04 equivalent to:
2A + 5O = 3.04 (2nd equation).
Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).
6A + 3O = 3.36 (Equation 1)
2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:
6A + 3O = 3.36 (Equation 1)
6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:
6A-6A +15O -3O = 9.12-3.36 equivalent to:
12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)
Go back to equation 1 and solve for the cost of 1 apple:
6A + 3x0.48 = 3.36 =>
6A + 1.44 = 3.36 =>
6A = 1.92 =>
A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)
Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.
Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.
He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.
Answer:
Step-by-step explanation:
35(6)x12=224
10 – 7w – 13 – 7w + 15
I need help plsss!
Answer:
12-14w
Step-by-step explanation:
answers for both boxes please
The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km
What is an
equation of the line that passes through the points (-8,4) and (-8, 8)?
Answer:
X= -8
Step-by-step explanation:
Last Thursday was costume day at Terrence's school. 50% of the 272 students wore a costume. How many students wore a costume?
Answer:
136
Step-by-step explanation:
272÷2=126
What’s the solution for x- 5 =5
Answer:
x=10
Step-by-step explanation:
10-5=5
Answer:
x= 10
Step-by-step explanation:
x-5 =5
x= 5+5
x= 10
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How many pounds does 6.5 dozen cupcakes weigh?
• 1 cupcake = 35.3 grams
Answer:
35.3g * 78 =2,753.4g
2,753.4g = 6.07lbs
Solve each equation
5x-2=8
4x-3=2x + 9
6x+3=2x+8
Answer:
The required answers are 2, 6 and 5/4respectively
Step-by-step explanation:
5x-2=8
or, 5x=10
or, x=2
4x-3=2x+9
or, 2x=12
or, x=6
6x+3=2x+8
or, 4x=5
or, x=5/4
48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river running through the show your work
Given: FH ⊥ GH; KJ ⊥ GJ
Prove: ΔFHG ~ ΔKJG
Triangles F H G and K J G connect at point G. Angles F H G and K J G are right angles.
Identify the steps that complete the proof.
Answer:
✔ all right angles are congruent
♦ =
✔ angle FGH is congruent to angle KGJ
♠ =
✔ AA similarity theorem
Step-by-step explanation:
i just got it right
Answer: 2,3,3
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2x power of 2 +7x+3
Step-by-step explanation:
Multiply the parenthesis together.
2x squared +6x +x +3
2x squared +7x+3
Answer:
2x^2 + 2x + 3
Step-by-step explanation:
Hey guys this is confusing, someone plz help
Answer: x = 13
Step-by-step explanation:
To find the value of x, you have to find ∠QRP
∠QRP + ∠QRS = 180
∠QRP + 95 = 180
Subtract 95 from both sides
∠QRP = 85
∠RQP + ∠QPR + ∠QRP = 180 Definition of triangle
(4x + 3) + (3x + 1) + 85 = 180
Subtract 85 from both sides
(4x + 3) + (3x + 1) = 95
7x + 4 = 95
Subtract 4 from both sides
7x = 91
Divide 7 from both sides
x = 13
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22. Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46 Part B: Explain in words, what Clay should do to get his accaunt balance to zero?
Answer:
Part A
y =($50 - ($23 × 2 + $5)+ $22)
y = $21
Part B
Clay can get his balance to zero by withdrawing or writing another check for $21
Step-by-step explanation:
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.
Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46
Let his final Account Balance = y
y =($50 - ($23 × 2 + $5)+ $22)
y =$72 - $51
y = $21
Part B: Explain in words, what Clay should do to get his account balance to zero?
Clay can get his balance to zero by withdrawing or writing another check for $21
= $21 - $21
= $0
Can i have some help please
Answer:
bababooey
Step-by-step explanation:
Find x.
Side splitter theorem
Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is
[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
6(n-3)-2n=10
solve n
Answer:
n=7
Step-by-step explanation:
6(n-3)-2n=10
Distributive Property
6n-18-2n=10
Combine like terms
4n-18=10
Addition property of equality with -18; add -18 to both sides
4n=28
Division property of equality; divide 4 from both sides
n=7
construction worker’s planned to secure a tall pole using two cables attached to the pole at a point 12 m above the ground as shown in the diagram below.
based on the information in the diagram which value represents the total length of the cable that is needed to secure the pole?
Answer:(24+12\3)m
Step-by-step explanation:
for every 6 white roses, there are 8 pink roses. If the floral arrangement is proportional then how many pink roses are in a arrangement with 10 white roses
Answer:
13.33 pink roses
Step-by-step explanation:
We are told the floral arrangements are proportional , hence:
6 white roses = 8 pink roses
10 white roses = x
Cross Multiply
6 white roses × x = 10 white rose × 8 pink roses
x = 10 white roses × 8 pink roses/6 white roses
x = 13.333333333 pink roses
x ≈ 13.33 pink roses
What does k represent in the equation y = kx?
Answer:
The constant of variation.
Lesson 4-1 Solving Systems of Equations by Graphing
Answer:
Where's the question?
Step-by-step explanation:
Answer:
we cant answer it theres no backup to the question
Step-by-step explanation:
Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.
6x + ? = 0
? =
Does anyone know the answer to this
Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?
Answer:
9:00 pm, 4th November
Step-by-step explanation:
Since ;
Brisbane is 10 hours ahead of London
New York is 5 hours behind London
Then, Brisbane is (10 + 5)hours ahead of New York.
Then Brisbane is 15 hours ahead of New York
Time and Date Brisbane resident called New York = 12 Noon, 5th November
Time and Date in New York will be :
(12 Noon - 15 hours) = 9:00 pm, 4th November
A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?
Given: It is given that the length of the painting is 24 inches and the width is 11 inches.
To find: Area of the mat
Solution:
The watercolor painting is 24 inches long by 11 inches wide.
So, the area of the painting is:
[tex]\text{Area of painting}=l\times b[/tex]
[tex]\text{Area of painting}=24\times 11[/tex]
[tex]\text{Area of painting}=264 \text{ in}^2[/tex]
The length of painting with mat is = 24 in + 3 in + 3 in = 30 in
The width of painting with mat = 11 in + 3 in + 3 in = 17 in
[tex]\text{Area of painting with mat}=30\times 17[/tex]
[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]
Now to calculate the area of mat subtracts the area of painting from the area of the mat.
[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]
[tex]\text{Area of mat}=510-264[/tex]
[tex]\text{Area of mat}=246 \text{ in}^2[/tex]
Hence, the area of the mat is 246 in².
(4/9) ÷ (7/12) = ???
Answer:37/36
Step-by-step explanation:
Source: Trust me
Answer:
16/21
or in decimal form 0.761904
Step-by-step explanation:
could i have that brainlyest
please help what is n
ill give brainliest
Answer:
90
Step-by-step explanation:
I used a protractor and my head and this is what I got