Answer:
x = -8/3 or 7/2
Solution:
6x^2 - 5x = 56
6x^2 - 5x - 56 = 0
6x^2 -21x +16x - 56 = 0
3x(2x-7) + 8(2x-7) = 0
(3x + 8)(2x-7) =
3x + 8 = 0 or 2x - 7 = 0
x = -8/3 or 7/2
What is the solution to the following system of equations?
x - 2y = 6
y = 11 - 3x
Answer:
(4, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x - 2y = 6
y = 11 - 3x
Step 2: Rewrite systems
Define: x - 2y = 6Add 2y on both sides: x = 2y + 6x = 2y + 6
y = 11 - 3x
Step 3: Solve for y
Substitute in x: y = 11 - 3(2y + 6)Distribute -3: y = 11 - 6y - 18Combine like terms: y = -6y - 7Add 6y on both sides: 7y = -7Divide 7 on both sides: y = -1Step 4: Solve for x
Define: x - 2y = 6Substitute in y: x - 2(-1) = 6Multiply: x + 2 = 6Subtract 2 on both sides: x = 4Answer:
x=4 y=-1
Step-by-step explanation:
x-2(11-3x)=6
x-22+6x=6
7x-22=6
7x=22+6
x=28/7
x=4
-----------------------------
y=11-3(4)
y=11-12
y=-1
Section B: Simplifying expressions involving surds
1. Which of these numbers are multiples of square numbers greater than 1?
8
40
35
80
90
288
Answer:
All except 35
Step-by-step explanation:
8, 40, 80 and 288 is a multiple of 4.
90 is a multiple of 9.
Graph the line that has a slope of 8 and includes the point (0,2).
The graph for the given slope of 8 and includes the point (0,2) is given below.
Given that, the line that has a slope of 8 and includes the point (0,2).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Substitute m=8 and (x,y)=(0, 2) in y=mx+c, we get
2=8(0)+c
c=2
Put m=8 and c=2 in y=mx+c, we get
y=8x+2
Graph the line using the slope and y-intercept, or two points.
Slope: 8
y-intercept: (0,2)
Coordinate points are (0, 2) and (1, 10)
Hence, the graph for the given slope of 8 and includes the point (0,2) is given below.
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what is the measurement of the angle???
180 = full angle of trapezoid
180 - 82 - 82 = 16
Answer: 16
During the last basketball season, Alice made 320 out of 360 free-throw attempts. Betty made 300 free-throws out of 320 attempts. Cathy made 90% of her free-throws. Denise had an average of 0.913 for successful free-throws.
Which girl had the highest percentage of free throws?
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answer:
c
Step-by-step explanation:
c i think
What is the difference between these two expressions?
(14 + 9) 4
(14 + 9) 2
(14 + 9) 4 is four times as much as (14 + 9) 2
(14 + 9) 4 is three times as much as (14 + 9) 2
(14 + 9) 4 is half as much as (14 + 9) 2
(14 + 9) 4 is twice as much as (14 + 9) 2
Answer:
The answer is:
Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2
Thanks
Answer:
Step-by-step explanation:
i
A dice is rolled.
What is the probability of getting a 2 or
a 4?
Answer:
1/3 or 3.33
Step-by-step explanation:
There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.33 as a decimal.
I hope this helps and good luck!
Answer:
1/3 or 3.3333333333333333333 repeating
Step-by-step explanation:
A normal dice has 6 sides. You are asking the probability of getting two of them. 2 ÷ 6 = 1/3, or 33.3 repeating
I Hope That This Helps! :)
Mr. Smith's wife works at an animal hospital. There is a equivalent fraction relationship between the number of dogs and cats in the kennels. If there are 20 cats in the kennels, how many dogs?
Answer:
There are 10 dogs in the kennels
Step-by-step explanation:
The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.
Which means, if [tex]n_d[/tex] the number of dods and [tex]n_c[/tex] is the number of cats, then,
[tex]\frac {n_d}{n_c}=\frac{1}{2}\cdots(i)[/tex]
Given that there are 20 cats, so [tex]n_c=20.[/tex]
Now, from equation (i) we have,
[tex]\frac {n_d}{20}=\frac{1}{2}[/tex]
[tex]\Rightarrow n_d=\frac{1}{2}\times 20[/tex]
[tex]\Rightarrow n_d= 10[/tex].
Hence, there are 10 dogs in the kennels.
HOW DO I DO THIS PLEASE SOMEONE SOLVE IT AND I WILL MARK BRAINLIST!! PLEASE ITS DUE TODAY. LOOK AT THE IMAGE ABOVE
If f(x) = x³ - 2, find f(3). 25 24 26 20
Answer:
[tex]A.) 25[/tex]
Step-by-step explanation:
[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:
[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]
Now simplify the equation, starting with exponents (PEMDAS):
[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]
Simplify subtraction:
[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]
:Done
Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??
Answer:
Up left, down right
Step-by-step explanation:
First, polynomials with odd degrees will have end behaviors in two different directions.
Since the leading coefficient is negative, the end behavior will be up left and down right.
So, the end behavior is up left, down right.
The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
We have to determine
The end behavior of a 9th-degree polynomial with a negative leading coefficient??
What is a negative leading coefficient?If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.
What is the equation of 9th-degree polynomial?
The equation of the 9th-degree polynomial is;
[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]
The degree of the polynomial is 9 which is odd.
Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
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The shape below has both reflectional and rotational symmetry true or false
Answer:
False
Step-by-step explanation:
This shape does not have reflectional symmetry because you can't draw a line have both sides look identical.
Answer:
False
Step-by-step explanation:
sure it has Rotational but a Reflection no
Find the value of x that makes A || B.
2 = 3x - 20 and 5 = x + 20
x= [?]
Answer:
20
Step-by-step explanation:
3x-20=x+20
3x-x=20+20
2x=40
x=20
good luck dude
For the two lines A and B to be parallel to each other, the value of x should be equal to 20.
What are corresponding angles?In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc.
The definition of corresponding angles states that when two parallel lines cross with a third, the angles that occupy the same relative location at each junction are said to be corresponding angles to each other.
As per the given diagram of the parallel lines and the transverse the measure of the angle 2 and angle 5 should be equal, This is because the two angles are corresponding angles. Therefore, we can write,
∠2 = ∠5
3x - 20 = x + 20
3x - x = 20 + 20
2x = 40
x = 20
Hence, for the two lines A and B to be parallel to each other, the value of x should be equal to 20.
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5) y=-2
4x – 3y = 18
This
Answer:
x=3
Step-by-step explanation:
if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18
18-6=12
12/4=3
x=3 I hope you learned something
15(2x + 2) = 10(3x + 4)
Answer:
No Solutions
Step-by-step explanation:
If you simplify the equation, you would get 30x + 30 = 30x + 40, which if you subtract 30x, you would get 30 = 40, which means that there are no solutions, because no amount for x would balance this equation.
I NEED HELP ASAP!!!
Determine the best name for the quadrilateral JKLM. Justify your answer by showing all work and explaining the results of your work.
J ( 2, 4 ), K ( 7 , 4, ), L ( 3, 1 ) and M ( - 2 , 1 )
Answer:
Parallelogram
Step-by-step explanation:
This is a parallelogram
See the plotted points
Please help!
What's the answer to this?: (-5x^2)^3
Please solve!
add equation.
Will Name Brainliest!!!!
help pls need help. :) :)
A
SSS
OSAS
HL
AAS
ASA
None
Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answer:
c
Step-by-step explanation:
Answer:
One-third y minus Start Fraction 7 over 5 End Fraction x + two-thirds minus two-thirds y minus Start Fraction 4 over 9 End Fraction
just to be clear its C i just wanted to look smart hope i helped :)
9/6 divided 1/2 can somebody help please
Answer:
Step-by-step explanation:
[tex]\frac{9}{6}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 3
Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
Which of the following is a linear function?
А
B
C
D
Answer:
d
Step-by-step explanation:
..................
A line passes through the point (-10, -2) and has a slope of
3/2
Write an equation in slope-intercept form for this line.
The equation of this line in slope intercept form is y = 1.5x + 13.
What is slope intercept form?The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.
Equation of line: y = mx + c
where m is slope of line and c is the y intercept.
[tex]\frac{y+2}{x+10} = \frac{3}{2}\\ \\ 2(y+2) = 3(x+10)\\\\2y + 4 = 3x + 30\\\\2y = 3x + 26\\\\y = 1.5x + 13\\\\where\ slope = 1.5\ and\ y\ intercept\ is\ (0,13)[/tex].
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Joey entered a chicken wing eating contest. He ate 160 wings in ten minutes. If
Joey ate the wings at a constant rate, what is the constant of proportionality
relative to this situation?
Answer:
16
Step-by-step explanation:
160 ÷ 10 = 16 wings per minute
Wings: y
Constant of proportionality: k
Minutes: x
y = kx
y = 16x
The head coach ordered 8 pizzas and 3 orders of pasta for her team, costing a total of $120. The JV coach ordered 6 pizzas and 4 orders of pasta for his team, costing a total of $104. Let x, be the cost of pizza, and y be the cost of the pasta.
a) What is the price for a single pizza? and single order of pasta? Show your work for full credit.
PLEASE HELP ME
Answer:
x = 12 and y = 8
Therefore:
1 pizza = $12
1 pasta = $8
Step-by-step explanation:
What does the area of any shape tell us??
The area of a shape tells you the amount of space inside. The perimeter tells you how long the outline is. This is what the area and perimeter tell you.
Hope this helps you!
Solve m + 3.4 = 2.1.
Answer:
m= -1.3
Step-by-step explanation:
subtract 3.4 from both side and than simplify