Given:
The function is
[tex]f(x)=7x+11[/tex]
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
[tex]f(x)=7x+11[/tex]
It is a linear function, and domain and range of these types of functions are all real numbers.
[tex]Domain:(-\infty,\infty)[/tex]
[tex]Range:(-\infty,\infty)[/tex]
Put x=0 in f(x), to find the y-intercept.
[tex]f(0)=7(0)+11[/tex]
[tex]f(0)=0+11[/tex]
[tex]f(0)=11[/tex]
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
[tex]0=7x+11[/tex]
[tex]0-11=7x[/tex]
[tex]-11=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{-11}{7}=x[/tex]
So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].
Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].
How do you determine the x and y-intercepts from an equation or graph?
2. Convert 25.2625° from decimal degrees to degrees-minutes-seconds.
Answer:15
Step-by-step explanation:
The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is
Incomplete question.
Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a
Answer:
[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]
[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]
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☄ Question : Subtract the following using horizontal method :
i. 2x from -5x-5a from -18a✎ Step - by - step Explanation :
2x from -5xIn horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.
[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]
[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]
Likewise , Let's do next too:
-5a from 18 a[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]
Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]
And we're done!
Hope I helped!
Have a wonderful time ツ
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Answer:
i)-7x ii)23a
Step-by-step explanation:
i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a
How can you write the expression 7(b-2) in words?
OA
two subtracted from the quotient of seven divided by b
ОВ,
seven added to difference of b minus two
OC. the quotient of seven divided by b minus two
OD
two subtracted from seven times b
O E, the product of seven and the difference of b minus two
Answer:
E (The product of seven and the difference of b minus two)
Step-by-step explanation:
If pqrs is a parallelogram, find the measure of
113
5.67
18
67
Answer:
∠PSR = 113°
Step-by-step explanation:
Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.
7x-13+4x-5=180
11x-18=180
11x=198
x=18
Now plug x back into the angle that opposite from the one you are looking for (they are equal)
7(18)-13 = ∠PSR
126-13 = ∠PSR
113 = ∠PSR
what is the value of q in the equation 4/5q = 32
Answer:
40
Step-by-step explanation:
4/5 * q = 32
First you divide 4/5 by itself so you can eliminate it from the equation and then you have to divide 32 by 4/5 n when you do that you get 40. So q = 40.
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answer:
d
Step-by-step explanation:
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:
Step-by-step explanation: Domain is the x coordinates and range is the y coordinates
18x + 18
1
18 1
12
+18 Substitute.
+ 18
Multiply.
Answer:
18 x+18
Step-by-step explanation:
did you get a number that it is equals to caz i dont understand how you are suppose to work out 18× +18
someone help me plz i need help
Answer:
3.5x-0.2n
Step-by-step explanation:
just simplify like terms
a brainliest would be greatly appreciated : ) : )
There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
Answer:
Total Mangoes = 50
Rotten = 46
Step-by-step explanation:
50 divided by 10 = 5.
50 minus 4 is 46.
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??
Answer: 12.5
Step-by-step explanation:
25th Percentile: 5.5
50th Percentile: 13
75th Percentile: 18
Interquartile Range: 12.5
a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered
Answer:
Change the confidence interval.
Step-by-step explanation:
The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.
A 90 or 95 or 99 percent confidence interval will show a greater range of the data that lies within or without the given criteria.
95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies or does not lie within the specific range.
This gives better results as compared to 60- 80 % confidence intervals.
If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.
Find the slope of the line that passes through: (-3,-4) and (7,6)
What is the length of MN?
Answer:
MN = 6
This is because the shapes are dialations of each other
So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6
What is the domain and range please?
Answer:
Both infinate.
Step-by-step explanation:
Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6
Answer:
8.026, 8.062, 8.26, 8.6
Step-by-step explanation:
Answer:
Hi! I'm happy to help!
Step-by-step explanation:
8.026, 8.062, 8.26, 8.6
The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
С
33%
D
50%
The percent increase in the temperature is 50%.
To understand more, check below explanation.
Percentage increase:The temperature increases from 18° F to 27° F.
Increase in temperature = 27 - 18 = 9
The percent increase in the temperature is computed as,
[tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]
Learn more about the percentage here:
https://brainly.com/question/24304697
Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get
Please help me
Excellent help needed
Answer:
All of the following have the same solution except b + 2 = 8
Answer:
the answer is D.
Step-by-step explanation:
A. [tex]50 = 5 m = 10=m[/tex]
B. [tex]x-6=4 = x=10[/tex]
C. [tex]w/5=2 = w=15[/tex]
D. [tex]b+2=8 = b=6[/tex]
hope this helps and feel free to give brainiest
what is the solution to this??
4x + 12x =320
then using the solution to this do _x=_
Answer:
x=20
Step-by-step explanation:
Add like terms:
4x + 12x = 16x
16x = 320
320/16 = 20
Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna has 80 bracelets made, and can make 17 bracelets a week. For how many consecutive weeks will Anna be able to supply her bracelets to the "Unique" store?
Answer:
7 weeks
Step-by-step explanation:
80 ÷ 20 = 4
She over those four week she makes 17 per week. So,
17 × 4 = 68
Next, divide the product by 20:
68 ÷ 20 = 3.4
But 3.4 is only 3 full weeks so then its 3.
Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.
So, Anna will be able to supply the "Unique" store for 7 weeks.
I HOPE I HELPED!!!!!!!!!! :))))))
can people answer this pls
Answer:
A
Step-by-step explanation:
my
Answer:
A
Step-by-step explanation:
dhhdhdhdjejdjdjdjdjjd
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
Answer:
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a rectangular box of mass 40 kg has a length of 5m and a width of 8m and a height of 3 m find its density in kg/m3
Answer:
1/3 kg/m3
Step-by-step explanation:
density= mass/volume
mass=40 kg
volume=5m×8m×3m=120m³
density=40kg/120m³=1/3 kg/m³
Answer:
1/3 kg per cubic m or 0.33kg per cubic m
Step-by-step explanation:
density = mass
volume
= 40kg = 40kg
5m x 8m x 3m = 120cubic metres
= 1/3 kg per cubic m or 0.33 kg per cubic m
if a cylinder has a volume of 99 cubic centimeters , what is the volume of a cone with the same dimensions
Answer:
900
Step-by-step explanation:
A tire in Abduls car has just sprung a leak and is losing pressure at a rate of 5% every hour. If the tire pressure is currently 280 kilopascal, what will it be in 18 hours? If necessary round your answer to the nearest tenth
F(x) = x^3 + x^2-5x-6 at x=2
Answer:
3^2+2^2-5×2-6
9+4-10-6
-3
Step-by-step explanation:
-3 is the answer
Answer:
It could be solved by filling in "x" as 2.
Step-by-step explanation:
F(x) = 2^3 + x^2 - 5(2) - 6
f(x) = 8 + 4 -10 - 6
f(x) = 12 -16
= -4
Hope this is easy enough to understand.