Answer:
=
5
2
Step-by-step explanation:
⚠️ PLEASE I WANNA FINISH
Answer:
m = 0.666667*x+1 is the answer
Step-by-step explanation:
unit 1 test algebra 2
6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
We have,
6)
x² + 8x - 15 = 5x + 13
Rearranging the equation:
x² + 8x - 5x - 15 - 13 = 0
x² + 3x - 28 = 0
Now, factorize the quadratic equation:
(x + 7)(x - 4) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 4 = 0
Solving for x:
x = -7 or x = 4
7)
2x (x - 5) (x + 7) = 0
Setting each factor equal to zero:
2x = 0 or x - 5 = 0 or x + 7 = 0
Solving for x:
x = 0 or x = 5 or x = -7
8)
(x + 5) (x + 8 + 2x - 3)
Simplifying the expression inside the parentheses:
(x + 5) (3x + 5)
9)
x³ - 5x² + 2x + 13 = 5
Substitute each integer value from 0 to 10 into the equation and count the number of solutions.
Substituting each integer value,
x = 0,
x³ - 5x² + 2x + 13 = 5
0 - 0 + 0 + 13 = 5
13 = 5
Not true.
Similarly,
x = 2,
x³ - 5x² + 2x + 13 = 5
8 - 20 + 4 + 13 = 5
25 - 20 = 5
5 = 5
True.
x = 4,
x³ - 5x² + 2x + 13 = 5
64 - 80 + 8 + 13 = 5
85 - 80 = 5
5 = 5
True.
There are two integer solutions:
x = 2 and x = 4.
Therefore,
The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
Learn more about expressions here:
https://brainly.com/question/3118662
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Which graph shows the solution to the system of inequalities?
y <= x + 2
y > 2x – 3
Answer:
b
Step-by-step explanation:
6
In the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC. Find the perimeter of triangle ABC.
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(( E )) is the midpoint of BC ,
Thus ;
[tex]BE = CE = 6[/tex]
So :
[tex]BC = 12[/tex]
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[tex] \frac{AC}{2} = DE \\ [/tex]
[tex] \frac{AC}{2} = 7.5 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{AC}{2} = 2 \times 7.5 \\ [/tex]
[tex]AC = 15[/tex]
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[tex] \frac{AB}{2} = EF \\ [/tex]
[tex] \frac{AB}{2} = 8 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{AB}{2} = 2 \times 8 \\ [/tex]
[tex]AB = 16[/tex]
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[tex]∆ABC \: \: Perimeter =
AB + BC + AC \\ [/tex]
[tex]
∆ABC \: \: Perimeter = 16 + 12 + 15 \\ [/tex]
[tex]
∆ABC \: \: Perimeter = 43[/tex]
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Done...
The perimeter of triangle ABC is 43.
The calculation is as follows:Since BE = CE = 6
So, BC = 12
Now
[tex]AC \div 2 = DE\\\\AC\div 2 = 7.5[/tex]
Now multiplied sides by 2
So,
[tex]2\times AC \div 2 = DE\\\\AC\div 2 = 7.5 \times 2[/tex]
AC = 15
Half of AB = EF
AB = 16
Now the perimeter is
= AB + BC + AC
= 16 + 12 + 15
= 43
Learn more: https://brainly.com/question/13286220?referrer=searchResults
Need help fast!!!!!!
Answer:
45 i think
Step-by-step explanation:
Consider the system of inequalities and its graph.
y ≥
y ≤ x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 8, negative 2) and (0, 0). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (3, 0). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4.
In which section of the graph does the actual solution to the system lie?
1
2
3
4
Answer:
3
Step-by-step explanation:
the point answer to the darker shaded solution lies in area 3. Therefore the answer is 3.
can someone answer this
Answer: It's obviously D.
Step-by-step explanation:
Which set of values could be the side lengths of a 30-60-90 triangle?
A. 6, 12, 12\sqrt{3}
B. 6, 12, 12\sqrt{2}
C. 6, 6\sqrt{3}, 12
D. 6, 6\sqrt{2}, 12
Answer:
bbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
Answer:
4,4 sq 3, 8 sq 2
Step-by-step explanation:
Determine the domain and the range for this relationship.
Drag the tiles to the correct locations on the image. Not all tiles will be used.
(Several can be placed in one section, but not all of them will be placed.)
A. 0 ≤ x ≤ 6
B. 0 ≤ x ≤ 72
C. {0, 12, 24, 36, 48, 60, 72}
D. {0, 1, 2, 3, 4, 5, 6}
E. {0, 1, 2, 3, 4, 5, 6}
F. 0 ≤ y ≤ 72
G.{0, 6, 12, 18, 24, 30}
H. 0 ≤ y ≤ 6
Answer:
how are we supposed to know the answer if we don't know the problem?
Step-by-step explanation:
It makes no sense
Which algebraic expression represents the phrase "seven more than half of a number"?
A. 7 - 1/2 x B. -7 + 1/2 x C. 1/2 x + 7 D. -1/2 x - 7
Answer:
that answer is C you are correct
Step-by-step explanation:
1
Which of the following represents a
fraction that converts to a repeating
decimal with a value less than one?
A) 1/2
B) 4/3
C) 9/10
D) 479
Answer:
479
Step-by-step explanation:
5x -4y = -23
-5x + 9y =8
Answer:
Let's solve for x.
5x−4y=−23−5x+9y
Step 1: Add 5x to both sides.
5x−4y+5x=−5x+9y−23+5x
10x−4y=9y−23
Step 2: Add 4y to both sides.
10x−4y+4y=9y−23+4y
10x=13y−23
Step 3: Divide both sides by 10.
10x
10
=
13y−23
10
x=
13
10
y+
−23
10
Answer:
x=
13
10
y+
−23
10
Step-by-step explanation:
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THIS IS FOR LOTS OF POINTS
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
inch.inches = 9.5inches =
25.82367737inchs
2.28 = 25.82367737inchs
inch=25.82367737inchs
Answer:
$.24 or 24 cents per inch
Step-by-step explanation:
9.5x = 2.28 <--- equation
9.5x/9.5 = 2.28/9.5 <---- divide both sides by 9.5
.24=x <---- final answer
Brainlest-Pls help me pls thank you sm In advance
Answer: 90 divided by 45 equals 2 45+45=90
Step-by-step explanation:
Please answer this question
B=3V/h
Solve for V
Answer:
V = [tex]\frac{Bh}{3}[/tex]
Step-by-step explanation:
Given
B = [tex]\frac{3V}{h}[/tex] ( multiply both sides by h )
Bh = 3V ( isolate V by dividing both sides by 3 )
[tex]\frac{Bh}{3}[/tex] = V
tan y+cot y= sec y x csc y
prove the identity
(y is the variable)
Answer:
Step-by-step explanation:
tany+coty =
[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·
[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]
[tex]\frac{1}{cosysiny}[/tex]
[tex](secy) (cscy)[/tex]
help me I'm bout to breakdown on this and cry help I'm rlly not ok
Answer:
বাংলা ৬ নাম্বার প্রশ্নের উওর টা কি
Answer: 3/5 is the correct answer
Help me plzplzplzplz1
Answer:
The answer is 400 when you round it off to the nearest hundred.
Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *
Answer:
No they are not equivalent,
Step-by-step explanation:
3 x 6 is 18 and 5 x 6 is 30, not 32 so it is non-equivalent
The indoor climbing gym is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 5 buses with 329 students. High School B rented and filled 11 vans and 5 buses with 281 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
Step-by-step explanation:
14 x + 5y = 329
11x + 5y = 281(vans is x and busses are y)
cancel out 'y' by making the '5y' in 11x + 5y = 281 negative
-1 (11x + 5y = 281) =
-11x -5y = -281
insert second equation
-11x -5y = -281
14x + 5y = 320
3x = 48
x = 16
substitute vans in one equation
11(16) + 5y = 281
5y = 105
y = 21
THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10
Answer:
x = 0.333...(repeating or .34 if u round)
Step-by-step explanation:
add 4x and 2x= 6x
20- 12 = 8
6x + 8 = 10
-8 -8
6x = 2
6 6
x = 0.333...(repeating or .34 if u round)
I need help with this question ASAP
Nathan spins 2 different spinners at the same time. There are a total of 10 possible outcomes. Which pair of spinners did Nathan spin? A B 1 2. AB E с 5 3 E с 1 2 D 4 D А B B 1 2 care 1 2 E с D с D 3
Answer:
Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.
Hope that answers the question, have a great day!
Step-by-step explanation:
So how are 1/2 and 4/8 Similar?
Answer:They both equal 1 half
Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5
Answer:
1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2
8а +а – 3 = 6а – 2а - 3
Answer:
a=0
Step-by-step explanation:
Answer: a=0
Step-by-step explanation:
8a+a−3=6a−2a−3
Step 1: Simplify both sides of the equation.
8a+a−3=6a−2a−3
8a+a+−3=6a+−2a+−3
(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)
9a+−3=4a+−3
9a−3=4a−3
Step 2: Subtract 4a from both sides.
9a−3−4a=4a−3−4a
5a−3=−3
Step 3: Add 3 to both sides.
5a−3+3=−3+3
5a=0
Step 4: Divide both sides by 5.
5a /5= 0/5
Answer: a=0
(hope that was helpful )
PLEASE HELP I WILL GIVE BRAINLIEST IF 2 PEOPLE ANSWER! Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify Your Answer.
x = 15 inches.
The area of the square is __ square inches.
Answer:
The area of the square is 15²
the area of a square and the length of its side are directly proportional because The area of the square is x²=> when its edge decreases, the area of the figure decreases
Step-by-step explanation:
I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
Answer:
OOF
Step-by-step explanation:
Answer: i don't actually know, sorry but i need to get my points so i'm typing this.
Step-by-step explanation: none
How many vertices does this shape have?
Answer:
6 i think
Step-by-step explanation:
vertices are the points and there are 6 points
Beatrice threw a stone one and seven fourteenths yards. Tilly threw a stone nine fourteenths of a yard. What is a reasonable estimate of the difference between their two throws?
a. 1 yard
b. one and one half yards.
c. 2 yards
d. two and one half yards
write 6.1 as a mixed number and as an improper fraction. Do not try to simplify your answer
Answer:
6 1/10 mixed 61/10 improper
Step-by-step explanation:
