Write a linear function $f$ with the values $f(0)=8$ and $\ f(4)=20$ .
Answer:
f(x) = 3x + 8 is the required linear function.
Step-by-step explanation:
We know that the slope-intercept form of linear equation is
y = mx+b
here
m is the slope of the line, and b is the y-interceptGiven initial value
f(0) = 8
Meaning at x = 0, y = 8Thus, the y-intercept = b = 8
Also given
at x = 4, f(4) = 20
Meaning at x=4, y = 20so
substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope
y = mx+b
20 = m(4) + 8
20 = 4m + 8
4m = 20-8
4m = 12
Dividing both sides by 4
m = 3
Thus, the slope = m = 3
Now, substituting m = 3 and b = 8 in the slope-intercept of linear function
y = mx+b
y = 3x + 8
or
f(x) = 3x + 8
Thus,
f(x) = 3x + 8 is the required linear function.
VERIFICATION:
Given the linear function
f(x) = 3x + 8
plug in x = 0
f(0) = 3(0) + 8
f(0) = 8
plug in x = 4
f(x) = 3x + 8
f(4) = 3(4) + 8
f(4) = 12+8
f(4) = 20
What is the slope of the line that passes through the points (−3,−3) and (−9,5)?
The value of the exponent in (22)−5
is
Answer:
Let's calculate:
22-5
• Remove minus in the exponent and invert the base:
= (1/22)5
• Expand the multiplication:
= (1/22) * (1/22) * (1/22) * (1/22) * (1/22)
• Find your result:
= 1/5153632 ≈ 0.000000194038
Hello guys, plz help me with this question ASAP! Its about exponential function. Plz answer if you know the answer, THANK YOU SO MUCH ☺️
Answer:
4.5%
Step-by-step explanation:
Equation that models this:
M(t) = 1000 * (1 + INTEREST)^t
Plugging in t= 10 years, gives
1553 = 1000 (1+interest)^10
solving for interest gives: 0.045 which is 4.5%
look at previous questions for context
Answer:
y = 1/2x - 6
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
Mathematically we can write the equation of a line as;
y = mx + b
where m is slope and b is the y-intercept
We start by getting the slope
m = (y2-y1)/(x2-x1)
m = (-1+5)/(10-2) = 4/8 = 1/2
So we have the equation partially as;
y = 1/2x + b
to get c, we use any of the two points and substitute the individual x and y values
-1 = 1/2(10) + b
-1 = 5 + b
b = -1-5 = -6
so the equation is;
y = 1/2x - 6
Which of the following is the midpoint of the segment with endpoints (9,4) and (-3, 2)
Answer:
The midpoint is (3,3)
Step-by-step explanation:
Express as a percentage.
10
Answer:
10% is ur answer
Step-by-step explanation:
At a sale, hats were sold for $15 each. This price was 60% of theiir original price. What was the original price?
Answer:
6$
Step-by-step explanation:
6$ I'm probably looking at this wrong, but it does estimates towards 6. If I'm right then, with the 60% They boost the hats price by 60% (ofc).
if that was the question. the the answer must be 6$. I think, I calculated discount, welp,
HURRY UP PLS
Martin has 90 cents in his
pocket. Three of the coins are dimes, and the rest
are nickels. How many nickels does he have?
O A. 10
O B. 12
Oc. 18
O D. 6
true or false The angle of depression is the angle formed above the horizontal line
Answer:
False
Step-by-step explanation:
Trust me
False statement the angle of depression is the angle formed is not above the horizontal line.
What is the angle of depression?The angle of depression is defined as the angle obtained by any object below the horizontal line which is used as the reference line.
Here in the question, they are asking The angle of depression is the angle formed above the horizontal line this statement is true or false.
If you will follow the above definition of the angle of depression you will see that the given statement is false.
To know more about the angle of depression follow
https://brainly.com/question/10217662
#SPJ2
Compare 24 greater than, less than, or equal to 4.256.
Answer:
Greater than 4.256
Step-by-step explanation:
Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4
Type the correct answer in each box. Use numerals instead of words.
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In
the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total
$46.21 on gas.
In the first week, Micah bought
gallons of gas
in the second week, Micah bought
gallons of gas
Answer:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Step-by-step explanation:
Answer:
Step-by-step explanation:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Solve the equation 3x^2
10x + 5 = 0 to the nearest tenth.
D. (-2, 0)
can you plz help
more than one answer
What is the solution of....
[tex]\huge \mathscr{\blue {\underline {\red{\underline{Answer :-}}}}} [/tex]
[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]
[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]
[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]
[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]
[tex] \bf \implies \: 7x = 21 \times 4[/tex]
[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]
[tex] \bf \implies \: x = 3 \times 4[/tex]
[tex] \bf \implies \: x = 12[/tex]
ᴏᴘᴛɪᴏɴ (ᴅ) x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ
[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]
HELP. How many solutions does this graph indicate for the system of conic
sections?
Answer:
2
Step-by-step explanation:
there are two points where it touches
Math question help please
Answer: The answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
How many roots are there for the polynomial that factors into
f(x) = (x^2-1)(x+2)(x-1)^2?
Answer:
3 roots
tho using the fundamental theorem of algebra there should be more, if you use Desmos,there are 5
Step-by-step explanation:
Andre works as a waiter at a restaurant, where he earns $6 an hour plus tips. After 5 hours of work he has earned $60.20. Write the equation to represents his total earnings for his hours worked.
Answer:
Step-by-step explanation: $6 dollars times 5 equals 30.00 dollars. So Andre made 30.00 dollars from work, and 30.20 dollars.
I really need help with this question asap!
Answer:
the answer is C
Step-by-step explanation:
Fill in the box with x + - Nd divide
Answer:
[tex]3 \boxed{ + }12 \boxed{ \div }4 = 3 + \frac{12}{4} = 3 + 3 = 6[/tex]
hope this helps.
HELP PLEASEEE whoever answers most questions (aka 4) gets brainliest
Answer:
1.A
2.D
3.C
4.C
Step-by-step explanation:
5. What's the sum of 3/8 and 1/16
Answer:
7/16
Step-by-step explanation:
3/8=6/16
6/16 + 1/16 = 7/16
-2 = g - 9 what does G equal??
Please help !!!!!!!!!
Answer:
A= 41° a=9.84... b=11.32...
Step-by-step explanation:
given B = 49° and C = 90°
and A + B + C = 180
so 49+90+A=180
A= 41°
we also know c (small) is 15 units
and maybe you know this SOH CAH TOA? no, i'm not calling anyone names :P this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.
use Cos(49) to find the side a
a is an adjacent side to the 49 angle. We know the Cos and we know the Hyp .. so solve for adj...
Cos(Ф)=Adj/ Hyp
Hyp*Cos(Ф)=Adj
15*Cos(49)= Adj
9.84...=Adj=a
now lets' use sin for the opposite side or b
sin(Ф)=Opp/Hyp
Hyp*Sin(Ф) = Opp
15*sin(49)= Opp
11.32...= Opp =b
Given h (x) = 5 x + 1, find h(2)
Answer:
h(2) = 5.2 + 1 = 10 + 1 = 11
Pls help 10 points. ac+b=
A=3
B=5
C=1
Answer:
The answer should be 3×1+5=8
Step-by-step explanation:
prove me wrong
Answer:
8
Step-by-step explanation:
AC means 3 times 1 which is 3. B equals to 5. 3 plus 5 equals to 8.
$5 is what percent of $5?
Answer:
$5 is 100% of $5.
Answer:
$5 is 100% of $5
Step-by-step explanation:
Putting this into fraction format, it would be 5/5 = 1 . if that fraction turned out to be less than 1, whatever the number was that would be the percent. But this came out as 1 therefore saying that $5 is 100% of $5
A school buys games for 6 classrooms. It buys 3 board games, 4 puzzles, and 1 video for each classroom. How many games dose the school buy?
Answer:
42
Step-by-step explanation:
4+3=7
7x6 = 42
a watch loses 30 secs every hour .If the watch was set right on sunday 11:30 .What is time did it show
The correct question is
A watch loses 30 secs every hour .If the watch was set right on Sunday 11:30pm .What is time did it show after 10 hours?
(a) Monday 9:25am
(b) Monday 9:30 am
(c) Monday 9:35
(d) Monday 9:25pm
Answer:
(a) Monday 9:25am
The time shown by the watch in 10 hours from its starting at 11:30pm on Sunday will give 9:25am on Monday.
Step-by-step explanation:
We are given that a watch looses 30 seconds in one hour and the Watch was set on 11:30pm on Sunday.
we need to find the time this watch will show after 10 hours from starting at 11:30pm on Sunday.
In 1 hour = 30 seconds is lost
In 10 hours = 30*10 = 300seconds
Converting 300 seconds into minutes we get
= 300/60 = 5 minutes
This means whatever the actual time will be this watch will shows 5 minutes less.
10 Hours from 11:30pm on Sunday will be
9:30am on Monday morning
but since the watch is slow by 30 seconds each hours which will make 5 minutes difference from the real time in 10 hours so the time shown by the watch will be
9:25am on Monday morning.
Therefore the time shown by the watch in 10 hours from its starting at 11:30pm on Sunday will give 9:25am on Monday.