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:
the smiths want to fence their square garden, which has an area 256 square meters.
Questions 4, 5 and 6
PLEASE I NEED THIS ASAP
Hey yall I need help on this question pls give explanation
Answer:
0.5 liters
Step-by-step explanation:
If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.
Answer:
The answer is 0.5 liter
Step-by-step explanation:
Because 0.25 liter ÷ 0.5 liter = 0.5 liter
Geometry please help
Answer:
x = 2.5
Step-by-step explanation:
The sum of the exterior angles of a convex polygon is 360°.
120° +55° +65° +40° +(32x)° = 360°
32x = 80 . . . . . divide by °, subtract 280
x = 2.5 . . . . . . divide by 32
Someone helppppppp. I swear I will cry for the rest of my life ;-;
3
Pentagon PQRST is 1/2 the size of ABCDE therefore, x = 3
Answer: there is no x so i can't answer it
Step-by-step explanation:
Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !
Answer:
N/A; 32; -8
Step-by-step explanation:
4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest
5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32
6) -6m+6+6=4-7m, so m=-8
7.2 divided by 450 !!
Answer:
62.5
Step-by-step explanation:
Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}
Answer:
not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)
Step-by-step explanation:
to be a function, all of the x's must be different
Please help me I'm literally gonna cry
How many
How many 3/5 -pound bags of apples are in 3 pounds of apples?
___ bags ( btw the answer is not 0.2)
Answer:
5 bags, each containing 3/5 pounds of apples
Step-by-step explanation:
3 ÷ 3/5 = 3 x 5/3 = 5
Plz help me thx
Simplify pt2:
Answer:
π - [tex]\sqrt{17}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x
Given
[tex]\sqrt{(\pi -\sqrt{17})^2 }[/tex]
= π - [tex]\sqrt{17}[/tex]
Find the area of a trapezoid with height h and bases b1 and b2.
h=6 in.
b1=9 in.
b2=11 in.
Help help help help math
Name the Marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!
Answer:
<NLO and <OLN
Step-by-step explanation:
These two angle names are the same. the letters are simply reversed. it's like saying 1+2=3 and 2+1=3. the same. only reversed but still fluent in simplicity.
Factorise
3-x^2
Someone answer this question please
Answer:
No factors.
3 - x^2 is prime.
Step-by-step explanation:
The number of ounces in an unknown number of pounds. Let z= the variable.
Answer:
16z
Step-by-step explanation:
z = the unknown number of pounds
16 ounces in 1 pound.
So z pounds = 16z
or it can be given as a proportion;
[tex]\frac{16 ounces}{1 pound} (z)[/tex]
what is the area of the rectangle.
Answer:
54 units^2
Step-by-step explanation:
Can someone please
Help me with this graph
Answer:
graph the slope and the -2
Step-by-step explanation:
first, plot a point at (0,-2) because of the -2 as the y intercept
then, start graphing ur slope
ur next points should be
(2,-1), (4,0) (6,1) and so on
If f(x) = â’2 8, what is f(â’1. 8)? 4 6 10 12.
Answer:
f(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
Step-by-step explanation:
The value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Given the function f(x) =[x] - 2 + 8, we need to find f(-1.8)
To get the value of f(-1.8), we will simply substitute x = -1.8 into the function to have:
f(-1.8) = -1.8 - 2 + 8
f(-1.8) = -3.8 + 8
f(-1.8) = 11.8
Since x is in a square bracket, we will round the value up to the nearest whole number, hence;
f(-1.8) = 12
Therefore the value of the function f(x) = [x] - 2 + 8 when x = -1.8 is 12
Learn more on functions here; https://brainly.com/question/10439235
Will give BRAINLIEST
Answer:
Point B is
Step-by-step explanation:
Answer:
B (-2,-4)
Step-by-step explanation:
solve pls brainliest
How can I use the scale factor to determine if a picture is an enlargement?
Answer:
You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.
Step-by-step explanation:
Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.
Answer:
YourMom Not Cool
Step-by-step explanation:
yourMom is not cool
STOP CHEATING AND TRYING TO SEE ANSWER
Answer:
5
Step-by-step explanation:
In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: https://brainly.com/question/14285697
Answer:
5/3
Step-by-step explanation:
I need help with this and show your work.
Answer:
Step-by-step explanation:
Determine which climbed at a constant rate
A constant rate would produce a straight line. The slope is the same for all the data for that climber. We can either calculate the slope between the first and last intervals and see if the slope changes. Or we can graph the points, which I chose to do. See the attachment.
Note that Joe's rate is not constant. It appears as though he's wearing down. Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.
The slope is the climbing rate:
Joe: Not Constant
Zas: 2.5 feet/sec
Stephon: 4.0 feet/sec
Time to Reach 30 feet
Joe: Unknown - he's slowing down at an unpredictable rate.
For Zas and Stephen, use their slopes in the expression:
Use m for slope (ft/sec): y = m(t) where t is time in seconds
Zas: 2.5 feet/sec: y = 2.5(t) Time to reach 30 is 30/2.5 or 12 sec.
Stephon: 4.0 feet/sec: y = 4.0(t) Time to reach 30 is 30/4.0 or 7.5 sec.
Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?
Answer:
a=√x3y5 or a=−√x3y5
Step-by-step explanation:
Answer:
A, B & D
Step-by-step explanation:
Just did it on Edge
how many liters of a 30% antifreeze solution need to be added to 10 L of a 57% antifreeze solution to get 50% antifreeze solution. round to two decimal places.
Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me
6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.
Answer:
33.92
Step-by-step explanation:
40 x .2= 8
40-8= 32
32x.06=1.92
32+1.92= 33.92
Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?
They create concentric circles.
They are parallel to each other.
The y-axis is a bisector of the segment drawn.
The segment drawn and the y-axis are congruent to each other.
The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.
The transformation rule is given as:
[tex](x,y) \to (-x,y)[/tex]
When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:
[tex]H'A'M' = (-x,y)[/tex]
So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.
This, in other words means that the y-axis bisects the line segment AA'.
Hence, the relation between the segment and the y-axis is (c)
Read more about reflection at:
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Answer:
C. The y-axis is a bisector of the segment drawn.
Step-by-step explanation:
A 17 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
55.4
Step-by-step explanation:
Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answer:
Step-by-step explanation:
Formula
tn = a1 + (n-1)* d
Givens
tn = 67 (it is the last term or the nth term
n = 10
a1 = 4
find d
Solution
67 = 4 + (10 - 1)*d
67 = 4 + 9*d Subtract 4 from both sides
67 - 4 = 9d
63 = 9d Divide by 9
63/9 = 9d/9
7 = d
Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.
