Answer:
Step-by-step explanation:
1). a(x) = -4x + 7 If x > 1
a(8) = -4(8) + 7
= -32 + 7
= -25
2). a(x) = 2x - x² If -6 < x ≤ 1
a(1) = 2(1) - 1²
= 2 - 1
= 1
3). a(x) = |x - 8| If x ≤ -6
a(-7) = |- 7 - 8|
= |-15|
= 15
4). a(x) = 2x - x² If -6 < x ≤ 1
a(-3) = 2(-3) - (-3)²
= -6 - 9
= -15
5). a(x) = 2x - x² If -6 < x ≤ 1
[tex]a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^{2}[/tex]
= - 1 - [tex]\frac{1}{4}[/tex]
= [tex]-\frac{5}{4}[/tex]
6). a(x) = -4x + 7 If x > 1
[tex]a(\frac{9}{4})=-4(\frac{9}{4})+7[/tex]
= -9 + 7
= -2
9. The temperature outside Jeff's house is 14 °C at midday.
By midnight, the temperature has fallen by 27 °C.
What is the temperature at midnight?
Section 1 – Number and Proportion
Answer:
-13ºC
Step-by-step explanation:
The temperature has fallen, so you subtract.
14ºC-27ºC=-13ºCPlease help me it due today at 11:59pm please help me will mark the brainiest please
Answer:
y = 69
Step-by-step explanation:
start with the distributive property:
5/9 * y and 5/9 * 3
and now you have: 5/9y + 15/9 = 40
and we have to isolate y so subtract 15/9 from both sides:
5/9y + 15/9 = 40
- 15/9 -15/9
and now you have 5/9y = 345/9
and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y
and 345/9 divided by 5/9 = 345/5 and lets simplify....
y= 69
hope this helps luv
A sock weighs 1 oz. A shoe weighs 16 oz. how much heavier is the shoe ?
I just need a walkthrough or step by step process on how to get it so i can understand :)
Answer:
The answer and explanation is located in the screenshot.
Step-by-step explanation:
Hope this helped! And have a wonderful day!
If f(x) = x, find the simplified form for the following inputs:
b) f(x) + 2
c) 1/2f(x)
d) 2( f (x) ) +3
Answer:
Step-by-step explanation:
Is there another part to the question? Maybe the original function?
the number if baskets nikki can make varies directy with the time she spends making the baskets she can make 4 baskets in 1/2 an hour how many baskets can nikki make in 5 hours
Answer:
40 baskets
Step-by-step explanation:
Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.
Answer:
40 Baskets
Step-by-step explanation:
4 x half an hour = 8 baskets an hour. 8 x 5 = 40
what is 8 divided by 3/5
Answer:
13 1/3. have a great day!! :D
Step-by-step explanation:
To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.
Can someone solve this? also, show work please. We need to find out what x is.
-6x + 13 = -5(7 +6x)
Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]
Distribute -5 through the parentheses
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 5 \times 7 + ( - 5 )\times 6x}}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 + ( - 30x)}}[/tex]
[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 - 30x}}[/tex]
Move 30x to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]
Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]
The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]
Divide both sides by 24
[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]
Dividing a negative integer by a positive integers gives a negative integer.
[tex]\longrightarrow{\sf{x = -2 }}[/tex]
-----------------------------------------------------
Verification:L.H.S = -6x + 13
Plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]
Multiplying negative integers by a negative integer gives a positive integer.
[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]
Add the numbers : 12 and 13
[tex] \longrightarrow{ \sf{25}}[/tex]
R.H.S = -5 ( 7 + 6x )
plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]
Multiplying a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]
[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]
Subtract 12 from 7
[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]
[tex]\longrightarrow{\sf{25}}[/tex]
L.H.S = R.H.S
The value of x is -2 .
Hope I helped!
Best regards!
~TheAnimeGirl
Please help if u get these all right i will mark brainliest
82 added to a number is the same as 36
Answer:
-46
Step-by-step explanation:
Each axis on a graph should be:
labeled
equal
numbered
vertical
Answer:
labeled is the answer your looking for
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
complete the statements,extra points!!! please don't answer if you don't know
Answer:
1. 0.08703 killograms
2. Decameters
3. Liters
Step-by-step explanation:
convert.
1.2x-2.4=84
Pls show work...
Answer:
x=72
Step-by-step explanation:
1.2x−2.4=84
Step 1: Add 2.4 to both sides.
1.2x−2.4+2.4=84+2.4
1.2x=86.4
Step 2: Divide both sides by 1.2.
x=72
Answer: x=72
Step-by-step explanation:
I need help please.
Answer:
e
Step-by-step explanation:
How do you divide 10.5 divided by2.5?
Answer:
4.2
Step-by-step explanation:
10.5/2.5= 4.2
Move the decimal in 10.5 over one to the right to get 105.0
Answer:
Divide how you normally would, without the decimals, then put the decimal back in its orginal position; this would result in 4.2.
Step-by-step explanation:
12 time 10 times 10 times 10
Answer:i used a calculator 12000
Step-by-step explanation:12 × 10 × 10 × 10 = 12000
and have a nice Day :)
Answer:
12000
Step-by-step explanation:
If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)
Help stat please.Brainlist for the best ansmwer
when the Dixon family traded in their old car, it had 53,790 miles on it. they had the car for 8.25 years. on average, how many miles did they drive per year?
Answer:
6,520 miles per year
Step-by-step explanation:
53,790 divided by 8.25 equals 6,520
On Friday, a local hamburger shop sold a combined total of 436 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number
of hamburgers sold. How many hamburgers were sold on Friday?
Find the equation of a line that passes through the points (-1,-3) and (1,-5).
Leave your answer in the form y = mx + c
Answer:
Y= -1x - 4
Step-by-step explanation:
Which set of side lengths cannot make a triangle?
1.) 3 cm, 3 cm, 6 cm
2.) 3 cm, 4 cm, 5 cm
3.) 3 cm, 5 cm, 7 cm
4.) 3 cm, 6 cm, 6 cm
Answer:
Option "A" is correct answer to the following question.
Step-by-step explanation:
We know that, in triangle sum of two smaller lines ≥ largest side
So,
3 cm + 3 cm < 6 cm [Not correct to the given situation.]
3 cm + 4 cm > 5 cm [Correct]
3 cm + 5 cm > 7 cm [Correct]
3 cm + 6 cm > 6 cm [Correct]
Answer:
A The one that says 3 cm, 3 cm, 6 cm.
Step-by-step explanation:
Find the area of this
Answer:
616
Step-by-step explanation:
!! please help timed
If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
Answer:
Step-by-step explanation:
Y= -2/5 x -4/1 so the answer is Y=8/5
Write the LCD (Least Common Denominator I think) for each pair of fractions.
1/3, 1/5 | 2/7, 1/4 | 3/4, 3/5 | 2/9, 5/12 | 1/3, 3/7 | 1/6, 4/9
Please help. ASAP
Answer:
answer: 15, 28, 20, 36, 21, 18
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
A stop sign in the shape of a regular octagon is
resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?
Answer:
45°
Step-by-step explanation:
First, find the measure of each interior angle of the octagon.
Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]
Where, n = 8.
Plug in the value of n into the formula
[tex] = \frac{(8 - 2)180}{8} [/tex]
[tex] = \frac{(6)180}{8} [/tex]
[tex] = \frac{1,080}{8} = 135 [/tex]
x = 180 - 135 (straight line theorem.)
x = 45°
NEED HELP 45 POINTS PLZ
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
I have given the answer in the chat box as i was not able to post officialy
Step-by-step explanation:
Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.
Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
My teacher doesnt really explain stuff good cause of her accent. May someone please explain how to do the problem and the correct answer? (no Trolls please) the problem is in the pic below
Answer:
hey sisters
Step-by-step explanation: