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.
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 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?
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
Help me please it’s almost due
Answer: A
Step-by-step explanation:
Find the measure of
Alicia drew a map of Texas. In the scale Alicia used for the map, .50 inch represents 20 miles. What is the distance between two cities on the map if the actual distance between the two cities is 360 miles?
Answer:
An actual distance of 360 miles correspond to 9 inches on the map
Step-by-step explanation:
From the question, we have a scale of 0.5 inches representing 20 miles
Now, we want to relate an actual distance of 360 miles to a measurement on the map using the scale
From here, we have that;
0.5 inches = 20 miles
x inches = 360 miles
x * 20 = 0.5 * 360
20x = 180
x = 180/20
x = 9 inches
OK so dont know srry bout that
If a man has $1500 in the bank and the annual interest rate is 5%, how much money will he have in the bank after 1 year?
Answer:
5/100×$1500= 75 dollar
as it is annual income we can solve the answer relative to year and considering it as 1 so the interest would be 75 annually
The height, h, of a baseball in meters at t seconds after it is tossed out of a window is modeled by: h = -5t2 + 2t + 15. A boy shoots
at the baseball with a paintball gun. The trajectory of the paintball is given byh = 3t+ 3. Please answer the following two questions,
Make it clear which solution belongs with each question!
Q1: At what height will the paintball hit the baseball? Round your answer to the nearest thousandths place.
what is x + 20x (-2)
Answer:
x = 1/20 = 0.050
x = 0
Step-by-step explanation:
either of those
Answer:
Hey bro,
The answer should - 39x i.e minus 39x
What is the slope of the line through
(-8, 10) and (6, 10)?
Answer:
the slope is 0
Step-by-step explanation:
m=0
Answer:
0
Step-by-step explanation:
y2 - y1/ x2 - x1
10 - 10 = 0
6 - (-8) = 14
0/14 = 0
a certain job can be done in 20 hours by 4 people. how many people are needed to do the same job in 10 hours?
2^k is the largest power of 2 the is a factor of (9!). What is k
Step-by-step explanation:
9!
= 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9
= ... * 2¹ ... * 2² ... * (2 * 3) ... * 2³
= 2⁷ ...
Hence k is 7.
Melissa and Thomas both solved the same problem using different methods. Their work is shown below. Who solved the problem incorrecly? Explain.
please find the x for these
Answer:
x=b-8a/8
x=b+8a/a
x=2-2c/c
help me plzz will mark brainliest
Answer:
[tex]x=7,\\y=6[/tex]
Step-by-step explanation:
The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:
[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].
Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].
Therefore,
[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]
Are 12,24,36,48 proportional
Please help i have no idea what this is :(
Answer: y - 3= -1/2 * (x - 8)
Answer:
y=-1/2x+3
Step-by-step explanation:
Slope intercept form is written: y=mx+b...
y=doesn't change, but you need it by itself
m=slope
x=the variable right next to the slope
b=y-intercept
Also, don't worry! This is super simple ^^
The question gives us -1/2 as the slope, so it needs to be plugged into the equation as m (next to x). Now our equation looks like this:
y=-1/2x+b
Next, we can figure out b. B is the y-intercept and we can figure this out by looking at the ordered pair (8, 3). The y is the second number, which is 3, so that is the y-intercept! We can now plug in 3 into b. Our final equation looks like this:
y=-1/2x+3
Hope this helps!! Have an awesome day ❤
need help solving a practice question
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
Help. What is the length of EF in the right triangle below.
Answer:
A
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to find EF
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
EF² + DF² = DE² ← substitute values
EF² + 12² = 18², that is
EF² + 144 = 324 ( subtract 144 from both sides )
EF² = 180 ( take the square root of both sides )
EF = → A
Factor 2mp - 3p - 4m - 6
Answer: mp • (3m3 + 8m2p - 2p2)
Step-by-step explanation:
3m4p + 8m3p2 - 2mp3 = mp • (3m3 + 8m2p - 2p2)
8.2 Factoring 3m3 + 8m2p - 2p2
What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
answer my question pls
Answer:
The answer is D.Step-by-step explanation:
This is because only a reduction can be 0-1, as it will shrink, while if you multiply a number by a number greater than 1, is will largen.
The dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
How does dilation affect length, area, and volume of an object?(SCALING ZOOMING SIMILAR FIGURES)
Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly, Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
As it can be seen in the image below that the red rectangle is the pre-image therefore, it is the original figure.
The blue rectangle is the image of the original figure.
Now, as it can be seen that the pre-image is a smaller rectangle, while the image is a large rectangle, therefore, the dilation made is of enlargement.
Also, it can be observed that the ratio of any corresponding sides of the two rectangles is more than 1.
Hence, the dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
Learn more about Dilation:
https://brainly.com/question/27212783
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1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El
Answer:
It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing
Step-by-step explanation:
I don't know how to know how to answer this lol, because I need a better explination
please help. see doccument below
Answer:Yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
we can start by dividing finding how many times 60 goes into 156.
It goes in 2 times with 120 miles.
we can subtract 120 from 156
this leaves us with 36 miles.
36 > (60 * .5)
between 7:30 and 10:00 there are 2.5 hours.
the car ride would take 2.6 hours meaning Kim wouldn't arrive before 10 am.
A 12 foot ladder is leaning against the top of a wall at a 36 degree angle of elevation. How high is the wall?
9.7 feet
7 feet
7.5 feet
12 feet
Answer:
12
Step-by-step explanation:
12
The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the values of x and y?
Picture relating to question has been attached below
Answer:
x = 10 ; y = 15
Step-by-step explanation:
The values for which the park is a parallelogram :
For the quadrilateral to be a parallelogram ; the diagonals will bisect each other such as :
VT = RV and UV = VS
From the diagram :
VT = 3x + 5y
RV = 6x + 3y
UV = 11y + 33 m
VS = 14y - 12 m
VT = RV and UV = VS
3x + 5y = 6x + 3y
3x - 6x = 3y - 5y
-3x = - 2y
3x = 2y
11y + 33 = 14y - 12
11y - 14y = - 12 - 33
-3y = - 45
y = 45/3
y = 15
From ;
3x = 2y
3x = 2*15
3x = 30
x = 30/3
x = 10
Pls help and show workings
(If you don’t know the answer please don’t respond)
Answer:
the required postulate which should be used here to make the triangles congruent is
C. ASA , okay
Step-by-step explanation:
because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA
I hope it helped
Answer:
ASA
Step-by-step explanation:
you have 2 angles and a side, so it could either be ASA or AAS.
ASA- the side is between 2 angles (image 1)
AAS- I'm not exactly sure how to describe it, but it's like 2 angles without a side between (image 2)
Why is the radius 4?
Answer:
Please check explanations
Step-by-step explanation:
The equation of a circle can be represented as;
(x-h)^2 + (y-k)^2 = r^2
r is the radius while (h,k) represents the coordinates of the center
Thus, we have that;
(x-2)^2 + (y+3)^2
That would give;
x^2 - 4x + 4 + y^2 + 6y + 9
The sum of values with no coefficient is;
4 + 9 = 13
If we take this to the other side, we can have 13 + 3 = 16
The square root of this is then 4
Mathematically, we can therefore express the equation of the circle as;
(x-2)^2 + (y-+3)^2 = 4^2
By expansion, we will get the original given equation
Select the equation that is true.
5,400 ÷ 9 = 4,500 ÷ 5
3,500 ÷ 7 = 2,400 ÷ 3
2,700 ÷ 9 = 4,000 ÷ 8
3,500 ÷ 7 = 4,500 ÷ 9
Simplify the expression.
5(8x-10)-10x+25(8x−10)−10x+2
50x - 48
50x + 48
30x - 48
30x + 52
witch one is correct
i don’t understand help
Answer:
rational as it can be expressed as the quotient of two integers
Answer:
that is a rational number
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.
Example: 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.
An irrational number is real number that cannot be expressed as a ratio of two integers. ... The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractio
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k