Answers
Answers:
f(-3) = -6f(7) = 20======================================================
Explanation:
The piecewise function f(x) changes based on what the input is.
We have two cases:
Case A) if x > 4, then f(x) = 3x-1Case B) If [tex]x \le 4[/tex], then f(x) = 2xThe input x = -3 satisfies the inequality [tex]x \le 4[/tex], so we go with case B for this input
f(x) = 2x
f(-3) = 2(-3)
f(-3) = -6
In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.
f(x) = 3x-1
f(7) = 3(7)-1
f(7) = 21-1
f(7) = 20
----------------------
Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if [tex]x \le 4[/tex], then f(x) = h(x)". Though this might be a more wordy definition.
Related Questions
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Answer:
e
Step-by-step explanation:
A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame? 5.5 + 106 square inches 5.5 + 116 square inches 5.5 + 153 square inches 5.5 + 162 square inches
Answers
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
Answer:
5.5 + 106 square inches
Step-by-step explanation:
Correct on edge
Write an equation of the line given
Answers
Slope is positive 2(up 2, right 1)
First point/ y intercept is -3
Answer: y=2x+1
Step-by-step explanation:
85 points! Sketch the following image on a blank piece of paper and rotate triangle ABC 80 degrees. 1st pic attached: is the triangle and 2nd pic attached is what I drew.... did i do it right?
Answers
Answer:
Step-by-step explanation:
It can never be perfect, but what I see, I think yes, because u didn't rotate it 90 degrees since it's not a right triangle, but u did rotate it where it looks close to 90 degrees, so it does look like its 80 degrees as a rotation. Question, does it not say how to rotate it? Like 80 degrees clockwise, or 80 degrees counterclockwise?
Hope this helped!
solve the equation f(x)=2x+7
Answers
Answer:
2
Step-by-step explanation:
Please Help
(x+50)/2 = 13x
Answers
Answer:
X=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
4.Under NCC training program, students of Vidyalaya stayed in a conical tent made, with a base radius of 7m and height 24m.After performing whole day program of NCC , students came to their tent for some rest and enjoyment. What is the slant height of the tent?
b. what is the area of the tarpaulin used in making the tent , assuming that all the stitching margins and the wastage is negligible?
c. What is the length of the tarpaulin if its width is 11m?
d. Determine the cost of tarpaulin, if it measuring 1 m2 costs Rs. 5 .
Answers
6x+7y+9
24xy
9x+7y+8
9x+7+6+2
5x+4x2y+5y+4+4
Answers
Answer:
40+33x+24xy
chile who gave you this problem?
How many total pounds did the art club donate?
Answers
Answer:
see explanation
Step-by-step explanation:
the total pound did the art club donate is 468 pound
Describe the lines below as parallel,
perpendicular, or neither.
2x - 5y = 25 and y= 5x+3
Answers
Answer:
Neither.
Step-by-step explanation:
First, we write 2x - 5y = 25 in slope-intercept form. That gets us y = 2/5x - 5. Now, we graph both the lines (check the image attached). Parallel means extending in the same direction, everywhere equidistant. Perpendicular means the relationship between two lines that meet at a right angle (90 degrees). As we can see in the screenshot, these lines don't fit any of these categories, so we put "neither."
The lines 2x - 5y = 25 and y = 5x + 3 are neither parallel nor perpendicular
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Equations of two lines are given, They are 2x - 5y = 25 and y = 5x + 3.
Now, Writing them in slope-intercept form,
2x - 5y = 25.
- 5y = - 2x + 25.
y = (2/5)x - 5.
And,
y = 5x + 3.
Now, We know lines parallel to each other have the same slope, and lines perpendicular to each other have a slope that is negative reciprocal of each other.
Therefore the lines y = (2/5)x - 5 and y = 5x + 3 are neither parallel nor perpendicular.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
Consider the following 8 numbers, where one labelled x is unknown.
33, 5, 42, 2, 3,9 46,9
Given that the range of the numbers is 64,
work out 2 values of x.
=
=
I
Answers
Answer:
2x+52
Step-by-step explanation:
help please it’s due in 20 minutes
Answers
Answer:
X = 34 (by Pythagoras theorem)
STEP BY STEP:
(30) ^2 +(16)^2 =1156
Root 1156 =34
I hope it helps :))
PLEASE HELP THIS IS MY FINAL EXAM FOR ALGEBRA
The population of a town is decreasing at a rate of 1% per year. In 2000 there were 1300 people. Find the population of the town in 2008. *
Answers
Answer:
The answer is 1,300 people
Can someone help me with this
Answers
Answer:
Expanded form - 90,000+400+3
Number names - Ninety thousand four hundred and three
Which decimal is equivalent to the fraction 1/15?
Answers
Answer: 0.06 with 6 repeating
Step-by-step explanation:
You have to divide 1 by 15. You get 0.066666666666 which is the game as 0.06 with the 6 repeating.
PLEASE HELP ME!!!!!!
Answers
Answer:
The second option is correct
Step-by-step explanation:
Here, we want to check which of the options is true of the plot
Now, let us take a look at the first option
When we talk of the slope in this case, we are simply talking of the amount he needs to save for each of the months
As we can see, for the initially, he had 900 to save, so what this mean is that at the very beginning, the amount of money he had to save is 900
Hence, the total money he had to save is $900 and this makes the second option correct
I don't understand how to do this question, I need help
Find the value of x in each diagram
Answers
Answer:
A. x = 8.
B. x = 31.
C. x = 32.
Step-by-step explanation:
Here. the sum of the 2 parallel sides of the trapezoid = 2 * length of the middle line segment.
MN + RS = 2PQ
32+ x = 2*20
x = 40 - 32
x = 8.
MN + RS = 2PQ
20 + 42 = 2PQ
2x = 62
x = 31
MN + RS = 2PQ
22 + 42 = 2PQ
2x = 64
x = 32.
ASAP can someone help I need to turn this in by tonight 11:59.
Answers
Answer:
D = 60.25m
Step-by-step explanation:
Two cars leave South Hill Mall at the same time driving in opposite directions.
One car is driving 55 miles per hour while the other car is driving 65 miles per
hour. When will the cars be 1020 miles apart?
Answers
Answer:
15.6 and
Step-by-step explanation:
PLEAS HELP ASAP!!! What is the equation for the line in slope-intercept form?
Answers
Answer:
[tex]y = 8x[/tex]
Step-by-step explanation:
Find slope by using Rise/Run.
Use two coordinate points that are part of the graph.
(0,0) and (2,16)
[tex]m = \frac{16 - 0}{2 - 0} \\ m = \frac{16}{2} \\ m = 8[/tex]
We have the slope. We need to find the y-intercept.
From the graph, the graph passes y-axis (0,0). Therefore the y-intercept is at (0,0)
[tex]y = mx + b[/tex]
[tex]m = 8 \\ b = 0[/tex]
Substitute m = 8 and b = 0 in the equation.
[tex]y = 8x + 0 \\ y = 8x[/tex]
is 20 even or odd thanks to anyone who help
Answers
Answer:
i think its odd sry if im worng
Step-by-step explanation:
jkjk its even
Answer:
20 is even because it can be split in half 10+10=20
Step-by-step explanation:
can someone please help me with number 12? there’s only two options and you can see them in the picture.
Answers
Answer:
B)
Step-by-step explanation:
Because it can't be a because if you wanna get P it is 20/16 not 1 /12
Solve for b
-11b+7 = 40
Answers
Answer:
b=-3
Step-by-step explanation:
-11b+7=40
-7 -7
-11b=40-7
-11b=33
-11b/-11=33/-11
b=-3
CHECK:
-11b+7 = 40
Substitute -3 for b:
-11(-3)+7=40
Solve:
33+7=40
40=40
Therefore b does in fact equal -3.
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!
illustrate. Then solve the
1.) A car is able to travel 210 km in 3 hours. How far can it
travel in 5 hours?
Answers
Answer:
350 km
Step-by-step explanation:
210/x=3/5
x=350
tadaaa
Coras multiply and divide
7th grade math help me please :))
Answers
Answer:
6^8
1679616 nickles
Step-by-step explanation:
This is multiplying by exponents, so 6^1 is for the first bracelet, the second bracelet is 6^2 and the third is 6^3 and so on till you get to 6^8 where it is the 8th bracelet. 6^8 is equal to 1679616 nickles
Answer:
6^8
Step-by-step explanation:
Select ALL the true statements
a. Two squares with the same side lengths are always congruent.
b. Two rectangles with the same side lengths are always congruent.
c. Two rhombuses with the same side lengths are always congruent.
d. Two parallelograms with the same side lengths are always congruent.
Answers
Answer:
a
b
c
d
Step-by-step explanation:
balshdhsbwwqzhwhw
f(x) = x2. What is g(x)?
A. g(x) = (3x)2
B. g(x) = 3x2
C. g(x) = 9x2
D. g(x)=1/3 X2
Answers
how to factor 4x + 3 - 6x + 7
Answers
Answer:
im sorry if this is wrong if its what I was doing you have to switch 4x and 3 places Minusing 4x from 6x giving negative 2x or -2x then adding 3 to get 10 getting -2x + 10 or you could get -2x - 10
pls help will give brainliest
Answers
Answer:
6. No solution
7.x=2; x=6
Step-by-step explanation:
AnswerNumber 6: M=3 Number 7: X=2 and X=6
Step-by-step explanation:
i put each number in until they worked and this is what i got
pls help me 10 points
Answers
Answer:
domain={-6,-6,0,3}
range={5,-9,3,-7}