Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
3. Segment GE is an angle bisector of both
angle HEF and angle FGH. Prove triangle HGE is
congruent to triangle FGE.
F
H
G
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Recall:
A segment that divides an angle into equal parts is known as an angle bisector.Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
This implies that: ΔHGE and ΔFGE have:
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Learn more about ASA Congruence Theorem on:
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9⁴ means _________ is multiplied by itself four times (30 points)
Answer:
9
Step-by-step explanation:
This is an example of an exponent. 9^4 means 9 is raised to itself 4 times.
If we break it down, it will look like: 9x9x9x9, which is 6561.
9⁴ =》9 multiplied by itself four times.
9⁴ = 9 × 9 × 9 × 9
9⁴ = 6561
_____
Hope it helps ⚜
Simplify the expression
3+4·10 – 8
Answer:
35
Step-by-step explanation:
one word: PEMDAS. technically they are all a bunch of words but whatever...
P: parentheses
e: exponents
m: multiply
d: divide
a: add
s: subtract
first we multiply 4*10 since that's first on the list
4*10=40
we have
3+40-8
then we add
3+40
which is 43
then we subtract 8 from it as we have 43-8
which is in the end:
35
Suppose the regression line for the number of runs scored in a season, y , is given by ˆy=−790+5400x , where x is the team's batting average. For a team with a batting average of 0.235, find the expected number of runs scored in a season. Round your answer to the nearest whole number. If we can expect the number of runs scored in a season is 400, then what is the assumed team's batting average? Round your answer to three decimal places.
Answer:
479 = expected runs
0.220 = assumed batting average
Step-by-step explanation:
ˆy=−790+5400x
For an x value of 0.235, we have to calculate ˆy, or the predicted value. Plugging 0.235 in for x, we get
-790 + 5400 * 0.235 = 479
If ˆy = 400, we have to calculate x. Plug 400 in for y in our equation to get
400 = -790 + 5400x
add 790 to both sides to isolate the x and its coefficient
1190 = 5400x
divide both sides by 5400 to solve for x
x= 0.220
What is the least common denominator of this equation
Answer:
LCD = 30
Step-by-step explanation:
[tex]\frac{5}{6}[/tex] x - [tex]\frac{1}{10}[/tex] x = [tex]\frac{2}{15}[/tex]
Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions
25x - 3x = 4
22x = 4 ( divide both sides by 22 )
x = [tex]\frac{4}{22}[/tex] = [tex]\frac{2}{11}[/tex]
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{6} x - \frac{1}{10} x = \frac{2}{15} \\ \frac{50x - 6x}{60} = \frac{2}{15} (criss \: cross) \\ \frac{44x}{60} = \frac{2}{15 } \\ \frac{11x}{15} = \frac{2}{15} (simplify) \\ 165x = 30(criss \: cross) \\ x = \frac{30}{165} = \frac{6}{33} = \frac{2}{11} \\ x = \frac{2}{11} [/tex]
help no links I need answers
Answer:
The answer is A im new to this id.k if you need help with the image or not sorry if that dosent answer your question but the answer is A for that picture.
Step-by-step explanation:
Please can u help me with this question
[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]
Ms.Gómez ran 3/5 of a mile in 5 minutes. Mr. Hernández ran 3/5 of a mile in 3 minutes. How far did Ms gomez and mr Hernandez each run in 1 minute?
Show work or explain
Answer:
Ms G ran 3/25 mile per minute
Mr H ran 1/5 mile per minute
Step-by-step explanation:
Ms G:
create a proportion from mile/minutes = mile/minutes
let 'm' = amount of miles
3/5÷5 = m÷1
cross-multiply to get:
3/5 = 5m
m = 3/5 × 1/5 = 3/25
Mr H:
3/5÷3 = m÷1
cross-multiply to get:
3/5 = 3m
15m = 3
m = 3/15 or 1/5
graph the line indicated by the slope, m = - 3, and passing through the point (-4, 1) .
The equation of a line in point slope form is expressed according to the formula;
y-y0 = m(x-x0)
m is the slope of the line(x0, y0) is any point on the lineGiven the following parameters
m = -3
(x0, y0) = (-4, 1)
Substitute into the formula above will givee;
y - 1 = -4(x+4)
y -1 = -4x - 16
y = -4x - 15
Next is to plot the graph of the line y = -4x - 15 on the coordinate plane as shown:
Learn more graphs here: https://brainly.com/question/19011142
How many times larger is 500 than 50
Answer:
10
Step-by-step explanation:
500/50=10
50*10=500
Please answer it....
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
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Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer:
correct answer explained above
19.1 x 8.6 step by step.
Answer:
The is answer is 19.1x8.6= 164.26
Step-by-step explanation:
What will be the average of the first five
consecutive numbers starting from 11
Answer:
13
Step-by-step explanation:
The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.
The average of {11, 12, 13, 14, 15} is 13.
Pls help I’ll brainlest I need a good grade
If x = -2 is a solution to the systems shown below, then which of the following must be the value of m? (Hint, substitute to find y, then substitute again to find m)
y = 4x+ 10
y = mx - 4
overthinking for nooo reason
If x = -2 satisfies the system, then
y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2
so that
y = mx - 4 ⇒ 2 = -2m - 4
Solve for m :
2 = -2m - 4 ⇒ 2m = -6 ⇒ m = -3
Fid the value of the expression
Answer:
2
Step-by-step explanation:
The question askes what is k divided by m (k/m) when k is equal to 8 and m is equal to 4. So, plug the values into the original questions 8÷4. This means that the number 8 is being split into 4 groups. When 8 is divided into 4 groups each group is left with 2. Therefore, the answer is 2.
Another way to solve this is to make a fraction. 8÷4 is the same as 8/4. If you simplify that fraction you also get 2.
please help i only have a few minutes!! what are the measurements for 1 and 2?
Answer:
8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces
I need help with this.
Answer:
check online for more information
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
Please help me thx so much have a good day
PLS ANSWER 30 POINTSSS
Answer:
letter B po
Step-by-step explanation:
basta letter B may ganyan din kame eh
I need help with pre calculus.
Problem 1
Answer: Choice A. (0,9)---------------------
Explanation:
The first task is to determine the function for f(x). Because it's linear, it's in the form y = mx+b. Let's find the slope m.
Select any two columns to pick out (x,y) points from the f(x) function. I'll pick the first two columns to select the points (-6,15) and (-4,11). Apply the slope formula to these two points to get...
m = (y2-y1)/(x2-x1)
m = (11-15)/(-4-(-6))
m = (11-15)/(-4+6)
m = -4/2
m = -2
Then use this m value along with any of the points of the table to determine the y intercept b. I'll use the point (-6,15)
y = mx+b
b = y-mx
b = 15-(-2)*(-6)
b = 15-12
b = 3
The y = mx+b equation becomes y = -2x+3 and that leads directly to the function f(x) = -2x+3.
Repeat all of those steps but do so for g(x) this time. I'll skip those steps over but you should get the function g(x) = 5x-6.
The y intercepts of f(x) and g(x) found were 3 and -6 respectively. Subtract those values to find the y intercept of h(x) = (f-g)(x) = f(x)-g(x).
So we get 3-(-6) = 3+6 = 9 which leads to the location (0, 9).
=========================================================
Problem 2
Answer: Choice Ax is any real number but x cannot equal -2, -1 or 1.---------------------
Explanation:
Through trial and error, the factor by grouping method, or using your graphing calculator, factor the denominator to get
g(x) = x^3+2x^2-x-2 = (x+2)(x+1)(x-1)
The factors (x+2), (x+1) and (x-1) lead to the roots of x = -2, x = -1, and x = 1 in that order. Those three roots of g(x) will make g(x) = 0 and cause a division by zero error in the denominator. So we must kick out those three values from the domain. Every other real number is allowed in the domain. So that's how we get the notation for choice A. It starts off saying x is a real number. Then it goes onto say that -2, -1 and 1 aren't allowed.
So overall the domain is described as: "x can be almost any real number except x cannot be -2, cannot be -1, and it cannot be 1".
Side note: We don't involve the numerator function at all.
=========================================================
Problem 3
Answer: Choice B. 2x+1 and x-3---------------------
Explanation:
The height is x, which we can factor out like this
2x^3-5x^2-3x
2x^2*x - 5x*x - 3*x
x(2x^2-5x-3)
Effectively you would use the distribution rule in reverse.
Now let's factor the remaining expression in the parenthesis.
I'll use the factor by grouping method.
2x^2-5x-3
2x^2-6x+1x-3
(2x^2-6x) + (1x-3)
2x(x-3) + 1(x-3)
(2x+1)(x-3)
Therefore, the full factorization is
x(2x+1)(x-3)
which shows we have the dimensions of x, (2x+1) and (x-3). The order doesn't matter so we could easily have (2x+1) the length and (x-3) the width, or we could have it the other way around.
You can verify that (2x+1)(x-3) expands out to 2x^2-5x-3 using either the FOIL method or the box method.
(05.03 LC) What is the initial value of the function represented by this graph? (1 point)
Answer:
0
Step-by-step explanation:
Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73
Answer: The answer is the last option, Option D.
Which of the following best describes the relationship between the variables on the scatter plot below?
A.
positive and negative association
B.
positive association
C.
negative association
D.
no association
A Perform the indicated operations. Show your solution in the given space below.
Answer:
C Negative Association
Step-by-step explanation:
Youll notice how the overall "line" of the graph goes down, the dots on the graph proceeding into the negative
Layla borrowed some money from her friend in order to help buy a new video game
system. Layla agreed to pay the friend back some amount every week until her loan
was paid off. Let L represent the amount Layla owes her friend after t weeks. A graph
of L is shown below. Write an equation for I then state the y-intercept of the graph
and determine its interpretation in the context of the problem.
The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let L represent the amount Layla owes her friend after t weeks.
Using the point from the graph (0, 140) and (7, 0):
L - 140 = [(0 - 140)/(7 - 0)](t - 0)
L - 140 = -20t
L = -20t + 140
The y intercept is 140
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What is 15/4 as a decimal?
Answer:
3.75
Step-by-step explanation:
Answer: 3.34
REEEEEEEEEEEEEEEEEEEEEEEEE
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?
Answer Ben plays video games for 1 1/2 hours per day for the 3 days
Step-by-step explanation:
He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.
Let D = #hours per day Ben plays, then
3D = 4 1/2
3D = 4.5
D = 4.5/3
D = 1.5
Solve for y.
3y+5=4y−2
y=−7
y = 1
y = 3
y = 7
Answer:
y = 7
Step-by-step explanation:
3y + 5 = 4y − 2
=> 2 + 5 = 4y - 3y
=> y = 7
Therefore, y = 7.
Hoped this helped.
[tex]GeniusUser[/tex]