Select all the points of intersection between the graphs
of the functions f(x) = (x + 5)(x - 2) and
g(x) = (2x + 1)(x - 2).
Answer:
f(x)=(x+5)(x-2)
g(x)=(2x+1)(x-2).
x=10x+2
x=3x-2
x=12×+1
x=13
A function is defined as a relation between a set of inputs having one output each.
The point of intersection between the function f(x) and g(x) is x = 4.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
= 18
Thus the point of intersection between the function f(x) and g(x) is x = 4.
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An elevator travels down from the top floor of a skyscraper. The graph below represents its height, in feet, over time in seconds. What does the slope of the line represent?
Answer:
So Y, which represents height, goes down depending on how far you are in time, which is X.
The slope of the graph represents the elevator's descent speed, calculated as 12 feet per second based on the points (1, 838) and (2, 826).
The Slope of the line in the graph represents the rate of change of height with respect to time, or the speed of the elevator's descent.
In this case, the slope can be calculated using the formula: slope = (change in height) / (change in time). We know that the elevator's height changes from 838 feet at 1 second to 826 feet at 2 seconds,
So, the change in height is : 838 - 826 = 12 feet, and the change in time is 2 - 1 = 1 second.
Therefore, the slope is 12 feet/second, this indicates that the elevator is descending at a speed of 12 feet per second.
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Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?
A) DF = 65 cm; DE = 25 cm
B) DF = 39 cm; DE = 15 cm
C) DF = 52 cm; DE = 48 cm
D) DF = 48 cm; DE = 52 cm
Answer:
C
Step-by-step explanation:
5x4=20 that gives u an idea to multiple triangle ABC to 4 to get DEF since they are similar triangles
Answer:
C
Step-by-step explanation:
Multiply 5 by 4 to get FE=20 then multiply each side by 4
write a mixed number and an improper fraction for the model below
Answer:
2 and 3/4
11/4
Step-by-step explanation:
an improper fraction is any fraction with a numerator bigger then the denominator.
a mixed number is the "proper" version of an improper fraction.
the fraction 11/4 as a mixed number is 2 and 3/4.
to make an improper fraction a mixed number, find out how many times the denominator goes into the numerator. whatever you have left that didn't make 1 whole, turns into the fraction .
hope this helped
Please help me because I tried to solve it but it wasn’t correct
Answer:
irdk
Step-by-step explanation:
When the fraction below is written as a decimal, how many digits are in the smallest
sequence of repeating digits?
5/11
OA) 0
OB) 1
OC) 2
OD) 3
Answer:
5/11 = 0.45454545......
so, option c.
Write an equation of the line containing the given point and parallel to the given line. (6,−5); 7x−9y=4
Answer:
y = 7/9x - 87/9
Step-by-step explanation:
9y = 7x-4
y = 7/9x - 4/9
-5 = 7/9(6) + b
-45/9 = 42/9 + b
b = -87/9
The graph of the exponential function f(x) = 4(0.5)* + 2 is shown.
Answer:
g(x)=0.5(0.8)^x+2
Step-by-step explanation:
The formula used to convert degrees Celsius to degrees Fahrenheit is
F = C +32
Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
A. C= F-32; conversion: 68°F = 180°C
B. C = (F- 32); conversion: 68°F = 122°C
C. C= 5(F- 32); conversion: 68°F = 20°C
D. CE F-32; conversion: 68°F = 20°C
O
O
Answer:
C.
Step-by-step explanation:
The formula to convert C° to F° is C = 5(F-32)
V-5v-5v+9v pls help asap
Answer:
0
Step-by-step explanation:
V-5V = -4V
-4V-5V = -9V
-9V+9V = 0
A chess club 20 with members is electing a new president. Lashonda received 8 votes. What percentage of the club members voted for Lashonda?
Answer:
Lashonda is not popular. She only received 40% of the votes.
Step-by-step explanation:
8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.
Factorise x²-4y² mmmmm
Answer:
(x + 2y)(x − 2y)
Step-by-step explanation:
x² - 4y²
(x + 2y)(x − 2y)
ere
1232
Patiy wrote 137 words in her
essay. Robin wrote 349 words.
How many more words did
Robin write than Patty?
It costs $45 for a flower arrangement and $.30 per mile for delivery. If the total cost came to $49.80, how many miles were the flowers delivered?
Set up an equation to solve for the number of miles driven.
find the answer for the question below
Answer: 16.25 or 16 1/4 miles a week
Step-by-step explanation:
Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.
3.25 x 5 = 16.25
If Susie takes a test with 50
questions and gets of them
5
correct, how many questions did
she miss?
In the figure, m_2 = (5x - 12)° and m_3 = (2x + 36) What is the value of X?
Answer:
that be 34 because you multiply
Step-by-step explanation:
Pls help! Consider graphing the linear inequality y>2x-1 on the coordinate plane. Which statement is true?
A. The graph will have a SOLID boundary line, with shading ABOVE.
B. The graph will have a SOLID boundary line, with shading BELOW.
C. The graph will have a DASHED boundary line, with shading ABOVE.
D. The graph will have a DASHED boundary line, with shading BELOW.
Step-by-step explanation:
given the linear inequality y >2x-1 on the coordinate plane.
the true statement is:
C. The graph will have a DASHED boundary line, with shading ABOVE.
for '>' meaning dashed line
Answer:
C. The graph will have a DASHED boundary line, with shading ABOVE.
Step-by-step explanation:
When graphing inequalities:
< or > : dashed line≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the lineGiven inequality:
[tex]y > 2x-1[/tex]
Therefore, the graph will have a dashed boundary line and shading above the line.
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Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?
Answer:
173.5
Step-by-step explanation:
The answer is 173.5
To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below
[tex]86/4=21.5[/tex]
Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below
[tex]9x21.5=173.5[/tex]
Thus, that is how much money Lin will be paid after 9 hours of work.
Hope this Helps!
the function y=-x^(3)+3x^(2)+2017 covariates in the range:
Answer:
min{-x^3 + 3 x^2 + 2017} = 2017 at x = 0
Click and drag like terms onto each other to simplify fully. — бх — бу+7y-y-6
help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:77
Step-by-step explanation:
Help plz I need it it’s hard
Answer:
the awnser is 2
Step-by-step explanation:
Gibson's Department Store is having a clearance sale and has decreased everything in the
store by 35%. How much will Gloria pay for a pair of earrings that were originally
$15.75?
A. $13.75
C. $12.75
B. $10.24
D. $12.24
Answer:
B. :>
Step-by-step explanation:
I will give the brain award thing!!!!
Line segment AB is a Translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line segment AB. Are line segment AB and CD the same? What does this mean about how the line segment changes when you translate it?
Answer:
Only the position changes with translation. Other measures, including slope and length, remain the same.
Step-by-step explanation:
Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original
HELP NEEDED!
Ms. Dingemans bought 24 chocolate cookies and 32 vanilla cookies.
She wants to organize her cookies in identical boxes for a party. She wants to use all of her cookies.
What is the greatest number of boxes that Ms. Dingemans can use to organize all the cookies?
Explain using a diagram.
Answer:
56
Step-by-step explanation:
0
help pls!
-----------
Step-by-step explanation:
option E is your correct answer.
hope this helps you.
Suppose M is the midpoint of Segment AB, P is the midpoint of Segment AM, and Q is the midpoint of segment PM.
If a and b are the coordinates of A and B, find the coordinates of M, P, and Q in terms of a and b.
The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.
In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:
Location of M
[tex]\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}[/tex]
[tex]\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A[/tex]
[tex]\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B[/tex]
[tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex]
Location of P
[tex]\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}[/tex]
[tex]\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A[/tex]
[tex]\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M[/tex]
[tex]\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B[/tex]
[tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex]
Location of Q
[tex]\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}[/tex]
[tex]\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P[/tex]
[tex]\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M[/tex]
[tex]\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)[/tex]
[tex]\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B[/tex]
[tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex]
The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.
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Question makes no sense to me, can someone help?
Answer:
-1 or -0.5
Step-by-step explanation:
f(x) is a common phrase you will see a lot in more advanced math.
Think of it as saying "Function of X". So, when you see f(-1), that means the function of x=-1.
So, when it's asking what value X is in f(-1), remember that that number is the x value.
I say COULD BE -0.5 if it means what y is when x = -1. This is if AND ONLY IF you have a check button to see if -1 is right or the wrong answer. I doubt it is, but I want you to be successful in your work.
I hope this helps :)
Somebody help me please
yes it's correct............