Given:
[tex]y=f(x)[/tex]
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
To find:
The input when the output is – 3.
Solution:
We have,
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
Substituting [tex]f(x)=y[/tex], we get
[tex]y=\dfrac{1}{2}x-3[/tex] ...(i)
We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].
Putting [tex]y=-3[/tex] in (i), we get
[tex]-3=\dfrac{1}{2}x-3[/tex]
[tex]-3+3=\dfrac{1}{2}x[/tex]
[tex]0=\dfrac{1}{2}x[/tex]
Multiply both sides by 2.
[tex]0=x[/tex]
Therefore, the input is 0 when the output is -3.
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
what is 23^a x 23^b= Pls I need the answer
Answer:
23^(a+b)
Step-by-step explanation:
23^a x 23^b =23^(a+b)
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
c,d,e,f
Step-by-step explanation:
mark me brainliest
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
C, D, E, F
Step-by-step explanation:
hope this helps! #HappyCheating
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
ZA and B are supplementary angles.
If ZA measures 45°, then what is the measure of ZB?
1. 35
2. 45°
3. 135
4. 145
Answer: 3. 135°
Step-by-step explanation: supplementary angles are angles that add up to 180° thus 180-45=135
Hope this helped!
9)
Find the average rate of change for f(x)= x to the second power+ 7x+10 from x= 0 to x= 2
.
Answer:
9
Step-by-step explanation:
At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.
We can figure this out by using the slope formula.
[tex](y^2-y^1)/(x^2-x^1)[/tex]
We plug in values to get:
[tex](28-10)/(2-0)[/tex]
18 / 2
9
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
please help me with this question:(
If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?
50
200
150
100
Use English Alphabet, how many 6-character case-sensitive passwords are possible?
Answer:
Step-by-step explanation:
like for your actual name spell is backwords and add the last 4 letters of the alphabet which W X Y Z
I hope that helped :)
what is the distance of between (-5,8) and (12,8)
plz help
Answer:
17
Step-by-step explanation:
-5 is 17 points away from 12.
a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?
The probability that the sum is greater than 12 is [tex]\frac{2}{3}[/tex]. The probability the product is 72 is [tex]\frac{1}{6}[/tex].
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes
The outcomes that the sum is greater than 12
6 and 12, 6 and 15, 12 and 15, 0 and 15
So the probability that the sum is greater than 12 is
= [tex]\frac{4}{C^{2} _{4} }[/tex]
= [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
The outcomes that the product is 72: 6 and 12
So the probability is
= [tex]\frac{1}{C^{2} _{4} }[/tex]
= [tex]\frac{1}{6}[/tex]
Hence, the probability that the sum is greater than 12 is [tex]\frac{2}{3}[/tex]. The probability the product is 72 is [tex]\frac{1}{6}[/tex].
Find out more information about probability here
https://brainly.com/question/11234923
#SPJ2
Matt drove 395 miles on 20 gallons of gas. If he has
enough money for 84 gallons of gas, how many miles
can he drive?
Answer:
I believe the answer is 1659
Step-by-step explanation:
395 ÷ 20 = 19.75
19.75 × 84 = 1659
Reflect triangle A in the line Y = 1
Answer:
(1,2); (4,4); (1,4)
Step-by-step explanation:
Just reflect it directly across the y axis starting at x=1.
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km. x squared divided by 357 plus y squared divided by 710 equals 1 x squared divided by 1669 squared plus y squared divided by 1316 squared equals 1 x squared divided by 1316 squared plus y squared divided by 1669 squared equals 1 x squared divided by 710 plus y squared divided by 357 equals 1
Answer:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
three times four and four fifths
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP
Answer:
5555555555555555555555555555555555555 trust
Step-by-step explanation:
ILL GIVE BRAINLEST, please answer, no links, and explain please ♥️
Answer:
$45
Step-by-step explanation:
If every square is 1/5 a square foot, and ever square foot is $15, then every 5 squares is $15. which would be 45 for the kitchen, 60 for the dining room, and 90.30.
Distribute 6 ( 0.4x + 5)
Answer:
2.4x+30
Step-by-step explanation:
(6*0.4x)+(6*5)
2.4x+30
Question 16, plz explain
Answer:
Step-by-step explanation:
What is 15/7 an mixed number
[tex]2 \frac{1}{7} [/tex]
is the answer
Answer:
answer: 2 1/7
Hope this helps
Does a triangle with these side lengths exist?
28, 41, 13
Answer:
No
Step-by-step explanation:
it doesnt add up to 180 degrees
Use the triangle inequality theorem.
Add two sides together and see if it is greater than the length of the 3rd side:
28 + 41 = 69 which is greater than 13
41 + 13 = 54 which is greater than 28
28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41
Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.
how many radians is 288
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
3.2468 rounded to the nearest tenth.
please help me
Answer:
3.2
Step-by-step explanation:
Find the number in the tenth place
2
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
A box holds 30 tins How many boxes can be filled
with 810 tins
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
Rationalize the denominator and simplify