Which graph shows the solution to the system of inequalities?
y <= x + 2
y > 2x – 3
Answer:
b
Step-by-step explanation:
6
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]
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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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
To make banana bread, Colin uses 3/4 of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
Answer:
[tex]he \: will \: need \to \: \boxed{\frac{3}{8} } \: of \: a \:cup \: of \: brown \: sugar \\ [/tex]
Step-by-step explanation:
[tex]if \: Colin \: uses \: \frac{3}{4} \: of \: a \: cup \: of \: brown \: sugar \: \\ for \: every \: 2 \: cups \: of \: flour. \\ then \: Colin \: will \: use \to \: ( \frac{3}{4} \div 2 \: ) \\ \: to \: make \: a \: small \: batch \: with \: only \: 1 \: cup \: of flour. \\ \frac{3}{4} \div \frac{2}{1} = \frac{3}{4} \times \frac{1}{2} = \boxed{\frac{3}{8} }[/tex]
♨Rage♨
Answer:
3/8
Step-by-step explanation:
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 )
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
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
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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:
Help me plzplzplzplz1
Answer:
The answer is 400 when you round it off to the nearest hundred.
I really need the help?
Answer:
a=c because opposite vertices are always equal to one another
Step-by-step explanation:
help me i will give the best answer branliest
Answer:
y=-3x+2000
Good luck!
Answer:
for the first question the fifth option
and 666 for the second question
Step-by-step explanation:
Rotate ELMO 270° clockwise about the origin.
What are the coordinates of E’?
a. (1, 1)
b. (-1, 1)
c. (-1, -1)
d. (1, -1)
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
What is the y-intercept of a line perpendicular to y = x + 6 that passes through the point (4 ,-3)?
A. 5
В.
-5
D. –11
Answer:
I believe it to be C
Step-by-step explanation:
A line passes through the points (-10, -3) and (-5, 1). What is the slope of the line?
Answer:
m= 4/5
Step-by-step explanation:
use the formula (y2 - y1)/ (x2 - x1)
(-10, -3) (-5, 1)
1-( -3)/-5-( -10)= 4/5
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
⚠️ PLEASE I WANNA FINISH
Answer:
m = 0.666667*x+1 is the answer
Step-by-step explanation:
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:
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:
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
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
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
[{(-72)÷(-2)}2-(-7)]x(-10)
Answer:
-790
Step-by-step explanation:
Answer:
-5040
Step-by-step explanation:
Start inside out.
1) -72/-2=36 now this is still inside the braces so you have to multiply times 2
2)36*2= 72 and now remember that negative times negative is positive
3)72*7=504
multiplies times -10= -5040
You can also think about this another way
(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.
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:
Identify the slope-intercept form and the graph of the line described by the equation 2x−y=7.
WILL MARK BRAINLEIST PLEASE HELP
Answer:
-8 is the real answer
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.
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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Does someone know the answers to question 12 and 13 ??? GIVING 30 POINTS
Answer:
Step-by-step explanation:
For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is also 3/5
for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.
so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.
Answer:
12. A
13. C
Step-by-step explanation:
12. to be parallel needs same slope
13. to be perpendicular flip slope and if positive change to negative
