Answer:
(f-g)(x) is given by -x^2+4x+6
Step-by-step explanation:
M is the midpoint of the segment. Find the length of XM.
Answer:
x=2 and XM=11
Step-by-step explanation:
because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.
set these expressions equal and solve:
4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:
x=2
then to find XM, plug in this value of x to get XM=11
4(2)+3=11
Write an equation for a rational function with:
Vertical asymptotes of x = 1 and x = 4
x intercepts at (-1,0) and (-6,0)
y intercept at (0,8)
Use y as the output variable. You may leave your answer in factored form.
Answer:
[tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
Step-by-step explanation:
Because x=1 and x=4 are the solutions to x-1=0 and x-4=0, then we have (x-1)(x-4) in the denominator.
Because (-1,0) and (-6,0) are the solutions to x+1=0 and x+6=0, then we have (x+1)(x+6) in the numerator.
Now we have [tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex] where we plug in (0,8) to solve for a:
[tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex]
[tex]8=\frac{a(0+1)(0+6)}{(0-1)(0-4)}[/tex]
[tex]8=\frac{6a}{4}[/tex]
[tex]32=6a[/tex]
[tex]\frac{32}{6}=a[/tex]
[tex]\frac{16}{3}=a[/tex]
Therefore, the equation for the rational function is [tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000
Answer: why do they have so many cars what are you trying to ask and what does Mario have to do with this?
Step-by-step explanation:
please change your question.
the graph shows data relating sodium per serving and price per serving of different brands of peanut butter, Using this model, predict the amount of sodium in Peanut Butter that costs $.35 per serving.
A linear model that best fits the overall pattern of points is given by the
regression line of the data.
a. Please find attached the graph showing the linear model of the scatter plot created with MS Excel.b. The slope of the line is -6.2173.c. The relationship is as the price per Serving increases by 1 cent, the sodium per Serving decreases by -6.2173 mg.Reasons:
a. Points on the graph are;
(6, 218),
The slope, b, regression line equation is given by the following formula;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]
The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]
Where;
[tex]\overline x[/tex] = 18.732
[tex]\overline y[/tex] = 187.24
[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59
[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944
Therefore;
[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]
[tex]a = \overline y - b \cdot \overline x[/tex]
Which gives;
a = 187.24 - (-6.2173) × 18.732 ≈ 303.70
The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]
Using the above regression line equation, the linear model of the scatter
plot can be drawn as presented in the graph created with MS Excel.
b. The slope of the line is b = -6.2173
c. The relationship between price per serving and sodium per serving is
as follows;
When the price per serving increases by 1 cent, the sodium per serving
decreases by 6.2173 mg.
Learn more about the regression line formula here:
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How many ounces of juice would you need for 5 ounces of berries
Answer: 4oz
Step-by-step explanation:
A line includes the points (-7, 1) and (7, -1). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=-1/7x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(7-(-7))
m=-2/(7+7)
m=-2/14
simplify
m=-1/7
--------------------
y-y1=m(x-x1)
y-1=-1/7(x-(-7))
y-1=-1/7(x+7)
y=-1/7x-7/7+1
y=-1/7x-1+1
y=-1/7x
What is Jada‘s vertical jump
It's probably 52 or 40.
Can somebody please help me with this true or false algebra 1 question?
A relation that pairs each input with exactly one output is a function.
True or False
I'll help.
The answer to your question is True!!
3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?
Help me out please ???????
Answer:
I think it's 33.
Hope that helps you.
Step-by-step explanation:
it will be 33 because the interquartile we give it by Q3 - q1
Q3 median of 84 plus 90 divided by 2 equal 87
q1 equal 54
combine the like terms in the equation : 2s-4w+5+6s
To combine like terms, you have to add the same variables and all
First You have to find if the Numbers are positive or Negative
2s is positive
4w is Negative because i has Minus sigh before it
5 is Positive because it has added sigh
6s s Positive because it has added sign
Second you have to find the Like terms
2s+6s=8s
so, the new equation is
8s-4w+5.
That is the simplest
If you have questions just ask me I went through it pretty fast
help me out with this question .?
1
Step-by-step explanation:
true ya false you say me
HELP PLS which box has the largest IQR
Answer:
Box B i think.
Step-by-step explanation:
PLS HELP PLEASSSS ILL MARK U AS BRAIN KING THINGY WTV U CALL IT
Answer: infinitley many solutions
Step-by-step explanation:
a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate
Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07
Answer:
8.56%Step-by-step explanation:
Find the difference between the actual and estimate, this is the error:
710 - 654 = 56Find the percent error, which is the error over the actual:
56/654*100% = 8.56%the company installs the new windows for $3150. the total cost for buying them and having them installed is $5769.00. if ray hills pay $145.50 per widow how many windows did they buy?
====================================================
Work Shown:
x = number of windows purchased
The cost expression is 145.50x+3150 because the "145.50x" portion represents the $145.50 per window charge, then we tack on the fixed fee of $3150. Set this cost expression equal to the total charge ($5769) and solve for x.
[tex]145.50x+3150 = 5769\\\\145.50x = 5769-3150\\\\145.50x = 2619\\\\x = 2619/(145.50)\\\\x = 18\\\\[/tex]
They bought 18 windows.
Find the value of x need help
1.5kg : 350g solve the ratio
Step-by-step explanation:
convert kg into grams
1kg=1000g
1.5kg/350g=1.5×1000g/350
1500/350=300/70
=30/7
ratio will be 30:7
answer is 4.2g
The answer to the ratio is:
4.2g
First of all, we need to convert the kg to g
This can be done by multiplying the Kg by 1000
1.5kg x 1000= 1500g
Next, we solve the ratio since they are in the same parameters
This would be 1500g:350g
1500/350= 30/7.
Therefore, the ratio would be 30:7
Finally when further broken down, it would be 4.2g
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If a = 0.3 and b =0.5, what is the value of a+b?
A. [tex]\frac{8}{10}[/tex]
B. [tex]\frac{8}{9}[/tex]
C. [tex]\frac{80}{99}[/tex]
D. [tex]\frac{88}{100}[/tex]
Answer=
D
Step-by-step explanation
because of the dot/line at the top of the number it means it is a continuous same number
for example, 0.3 with a dot/line on top means it is 0.333333...
so 0.55...+0.33...=0.88...
and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100
Use the order of operations to simplify 4(3.5 - 1.5) - 1/2.
a. 19 1/2
b. 7 1/2
c. 12
d. -4
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{4(3.5 - 1.5) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 4(2) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 8 - \dfrac{1}{2}}\\\\\mathbf{\rightarrow \dfrac{15}{2} \approx 7.5 \approx \boxed{\bf 7 \dfrac{1}{2}}}\\\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ B. \ 7 \dfrac{1}{2}}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{\bf Amphitrite1040:)}[/tex][tex]\huge \bf {Question}:—[/tex]
[tex] \boxed{\bf \: 4(3.5 - 1.5) - 1/2}[/tex]
[tex]\bf\huge Solution:—[/tex]
[tex] \sf \longmapsto \: 4*(3.5-1.5)-1/2[/tex]
[tex] \boxed{\bf \: Convert \: 1/2 \: i nto \: Decimal:—}[/tex]
[tex]\sf \longmapsto \: 4*(3.5-1.5)-0.5[/tex]
[tex] \boxed{\bf \: Subtract \: 3.5-1.5 :—\: (2 \: is \: the \: result)}[/tex]
[tex]\sf \longmapsto \: 4*(2) - 0.5[/tex]
[tex] \boxed{\bf Multiply \: 4 \: and \: 2:—(8 \: is \: the \: result)}[/tex]
[tex]\sf \longmapsto8-0.5[/tex]
[tex] \boxed{\bf \: Simply \: Subtract:—}[/tex]
[tex]\sf \longmapsto7.5[/tex]
[tex]\boxed{\bf Convert \: to \: Fraction, \: And \: Fraction\:to\:Mixed \:Fraction:—}[/tex]
[tex]\sf\longmapsto 15/2[/tex]
[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]
[tex]\boxed{\sf\longmapsto 7 \dfrac{1}{2} }[/tex]
________________________________
[tex]\boxed{\bf Solving \: in \: another \: way:—}[/tex]
[tex]\sf \longmapsto4*2-1/2[/tex]
[tex]\sf \longmapsto4*(2)-1/2[/tex]
[tex]\sf \longmapsto8-1/2[/tex]
[tex]\sf \longmapsto \: 15/2[/tex]
[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]
[tex]\boxed{\sf \longmapsto \: 7 \dfrac{1}{2} }[/tex]
________________________________
[tex] \boxed{\bf \: \: Answer \: i s \: Option \: B}[/tex]
[tex] \boxed{\huge\sf \: (B) \: \bf \: 7\dfrac{1}{2}} [/tex]
If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the rate is 15%
Answer:
its 1.944
Step-by-step explanation:
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.
Complete the equation of the line through (-10,3)(−10,3)left parenthesis, minus, 10, comma, 3, right parenthesis and (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis.
Answer:
[tex] y = -\dfrac{11}{2}x - 52 [/tex]
Step-by-step explanation:
Line through points (-10, 3) and (-8, -8).
slope = (-8 - 3)/(-8 - (-10)) = -11/2
y = mx + b
y = (-11/2)x + b
-8 = (-11/2)(-8) + b
-8 = 44 + b
b = -52
y = (-11/2)x - 52
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope fo the line passing through (-10,3) and (−8, -8) is
Slope, m = (-8-3)/(-8+10) = -11/2
Now, equate a point in the equation,
3 = -10(-11/2) + C
3 = 55 + C
c = -52
Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.
Learn more about Equation of Line:
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find the equivalent fraction 2/6= __ 2/5= ___
9x2+8x(5x-4) simplify
Answer:
40x --14
Step-by-step explanation:
Multiply 9 and 2 to get 18
Use distribute property
Multiply 8 by 5x -15
Subtract 32 from 18 = -14
Some one help me? ill give 50 points
Answer:
v=[tex]\frac{(w+v)/t}{2}[/tex]
Step-by-step explanation:
just inverse operations and you will always get your answer :)
How many yards is 24 feet
Answer:
8 yards
Step-by-step explanation:
1 yard is equal to 3 feet, so we just do 24/3 = 8 yards
Answer:
8
Step-by-step explanation:
1 feet is 3 yards so 24 yards is 8
At a school 60% of students buy a school lunch. Only 10% of students buy lunch and dessert. What is the probability that a student who buys lunch also buys dessert?
Answer:
1/6
Step-by-step explanation:
P(A) = probability a student buys lunch = 60% = 0.6
P(B) = probability a student buys lunch and dessert = 10% = 0.1
We are looking at the probability that a student buys lunch and dessert on the condition that they already bought lunch. Therefore, we are looking at a conditional probability.
P(B given A) = P(A and B) / P(A)
= 0.1 / 0.6
= 1/6 ≈ 0.167
Round 9296 to the nearest hundred?
The answer it 9300 so 9296 round to is 9300
Activity 3.
Direction. Name the ratio as a fraction in simplest form.
1. P5.00 to P60.00
2. 1 hour to 40 minutes
3. 2 weeks to 4 days
4. Eight out of 30 passengers are tourist. Give the ratio of tourist to passengers.
5. For every 45 passengers, 9 are foreigners. Write the ratio of foreigners to
passengers.
Please answer please help me
Answer:
see explanation
Step-by-step explanation:
(1)
[tex]\frac{5}{60}[/tex] ( divide numerator/ denominator by 5 )
= [tex]\frac{1}{12}[/tex] ( in simplest form )
(2)
both quantities must have the same units
1 hour = 60 minutes , then
[tex]\frac{60}{40}[/tex] ( divide numerator/ denominator by 20 )
= [tex]\frac{3}{2}[/tex] ( in simplest form )
(3)
1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so
[tex]\frac{14}{4}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{7}{2}[/tex] ( in simplest form )
(4)
[tex]\frac{8}{30}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{4}{15}[/tex] ( in simplest form )
(5)
[tex]\frac{9}{45}[/tex] ( divide numerator/ denominator by 9 )
= [tex]\frac{1}{5}[/tex] ( in simplest form )