The values for [tex]x[/tex] are -5 and 20
Given to us:
[tex]x^2-15x-100=0[/tex]
In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.
for that you can take the LCM of 100 and check all factors of 100.
for example,
factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.
from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,
[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]
taking out common terms, we get
[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]
to find out the value of [tex]x[/tex] equating both the factors with 0, we get
[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]
Hence, the values for [tex]x[/tex] are -5 and 20
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Answer:
C or x=-5 or x=20
Step-by-step explanation:
write the equation of the line in fully simplified slope-intercept form
Answer:
y=1/2x+8
Step-by-step explanation:
grab 2 points in this case (4,10) and (0,8)
use rise over run formula so it rises 2 and goes over 4
so 2/4 then simplify and you get 1/2
and the y intercept is 8 because thats when the slope touches the y line
so using the equation y=mx+b when m is slope and b is y interecpt
the answer should be y=1/2x+8
Answer:
y=2x+8
Step-by-step explanation:
8=b m=y_ý/x_x`=2
y=ax+b
y=2x+8
how much does 1/3 package weigh
Answer:
1/3 package of what
Step-by-step explanation:
10+4.5m=21.25
Solve for M
Answer:
m = 2.5Step-by-step explanation:
10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5Conclusion:
Therefore, m = 2.5
Hoped this helped.
[tex]GeniusUser[/tex]
Please answer this ASAP
Solve for x.
2x−4=6−3x
A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?
Answer:
x is a function
since it forms a horizontal line it passes the vertical line test and is a function
May I please receive help?
Answer:
a=√2, c=4√3
Step-by-step explanation:
Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.
Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3
A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x
Answer:
x = 30
Step-by-step explanation:
a) The sum of the angles along the line is 180°. That means ...
2x° +90° +x° = 180°
__
b) Subtracting 90° and dividing by 3° gives ...
3x° = 90°
x = 30
Answer:
a) supplamentary angles b) X= 30
Step-by-step explanation:
A) Equal to 180 b) 90 divided by 3 gives you 30
Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).
The required solution of the equation is (2,5). The correct option is A. (2,5).
Given equations,[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]
How to solve a system of equations?putting the value of y from eq. 1 in eq. 2 we get,
[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]
putting the value of x=2 in eq. 1 we get,
[tex]y=2+3\\y=5[/tex]
Hence, the required solution of the equation is (2,5).
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Write the equation of the line graphed below in the form y = mx + b
Answer:
y= -1/4x + 2
Step-by-step explanation:
so basicly find the slope first which is "m"
to do that do rise/run or do y2-y1/x2-x1
rise over un in this case is -1/4
slope is negative so its -1/4 = m
that find y intercept which is "b"
in this case its 2
then put it in formula
y=mx+b
y= -1/4x + 2
Domain and Range of a linear function
Answer:
domain is the lenght of the road (in miles)
range is the number of days
Step-by-step explanation:
domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road
Which of the following is a required deduction?
A. Health insurance
B. Disability insurance
C. FICA
D. State sales tax
To withhold a percentage of an employee's wages or salary and contribute an equal amount to these programs.FICA s a required deduction. Thus, option C is correct.
What is the FICA?FICA (Federal Insurance Contributions Act) is a required deduction that includes Social Security and Medicare taxes for employees in the United States.
Health insurance and disability insurance may be offered by employers but are not required by law to be deducted from an employee's paycheck.
The current FICA tax rate is 7.65%, which includes a 6.2% Social Security tax and a 1.45% Medicare tax.
State sales tax is not a deduction from an employee's paycheck. It is a tax paid by consumers on purchases they make.
Therefore, FICA s a required deduction.
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Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28
Answer:
X = 7
Explanation
2x-6=8
2x=6+8
2x=14
2x/2 = 14/2
x = 7
NO LINKS HELP (question is in picture)
Step-by-step explanation:
area of ∆ is 10in².
hope this helps you.
Help! 100 points to correct!
Answer:
B is correct
Step-by-step explanation:
adding the amount taken away and then subtracting it is the same as subtracting twice
Answer:
either b or c
Step-by-step explanation:
Diagram is not drawn to scale. Could someone try and help me find x, I got 20 but it was wrong
Answer:21
Step-by-step explanation:
if not 20 then 19 , 20.5 or 21
Lary works in a automobile company. They just shipped out 5 brand new cars. The total cost of these cars was $1,067,800. If they all cost the same amount,what was the price of each car ?
She your work.
Divide 6.72 by 0.041 and round to the nearest hundredth
Answer: 163.90
Step-by-step explanation:
The statement below is a different way to say that the sides of these similar parallelograms are proportional.
Complete the equations that go with the statement.
b/c = s/r
_________
o0o0o0o0o0
c/d = r/q
________
o0o0o0o0
Jada types 120 words per minute how many words does jada type in 1.5 minutes
Answer:
180
Step-by-step explanation:
8. The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the Moon is approximately 2x10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A. 450
B. 222
C. 45
D. 18
Answer:
A
Step-by-step explanation:
To find how many times the distance, we divide the distance to the sun by the distance to the moon.
we get:
(9 * 10^7) / (2 * 10^5)
First, lets isolate and simplify the powers of 10.
(9 /2) * (10^7/10^5)
(9/2) * (10^2)=(9/2) * 100
Solve
9/2*100=4.5*100=450
Adam eats 2 apples in 5 minutes, at this rate how many apples will Adam eat in a hour?
6
10
24
120
Answer:
24 apples
Step-by-step explanation:
60 divided by 5 is 12 then you multiply 2 which is 24:)
Who ever can answer these three questions first I will give them a brainliest! Or two
Need help ASAP. Heeellllppppp ppplllllsss!!!
5. 6. And 7.
Answer:
mathemiatical porbs is is it itroon poickg niucer g tnt g hayabusa sanjo karaneteooo break the code
Step-by-step explanation:
Find the value of
-12
20
36
-10
Answer:
20 is the answer.Step-by-step explanation:
(-4)² + (-2)²=> 16 + 4=> 20Conclusion:
Therefore, 20 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Option B
Select the graph of the equation y + x + 3 = 0.
Answer:
C.
Step-by-step explanation:
The picture I took is underneath.
Evaluate the expression when b= -4 and c=6. -4c+ b
Answer:
-4 x 6 + -4
-24 + -4
-28.. is your answer mark me brainlist bro plz
Answer:
-28
Step-by-step explanation:
-4(6)+(-4)
-24+(-4)
-28
Help please (MATH)......................
Answer:
ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah
Can someone please help me with the graph above ?? please
Answer:
See image
Step-by-step explanation:
The third line of the directions that says
(x,y)->(x-5, y)
is telling you to look at each point and keep the y the same, but subtract 5 from the x. For example, point B which is given as the point (4,-1) will slide over 5 places to the left and keep the y the same to (-1,-1) see image
The whole shape will slide over to the left 5 places. (red)
Then, it says reflect over y=0. Which is a flip like a mirror image.(green) The final answer is the green figure.
Can someone help me please
Answer:
D
Step-by-step explanation:
If 60 boxes in a 10-by-10 grid are shaded, which fraction is equivalent?
A) 1/2
B)3/5
C)7/10
D)3/4
Answer:
B= 3/5
Step-by-step explanation:
If is wrong I'm sorry