Brian is participating in a 4-day cross-country biking challenge. He biked for 48, 55, and 58 miles on the first three days. How many miles does he need to bike on the last day so that his average (mean) is 54 miles per day?
Answers
Answer:
55
Step-by-step explanation:
(55+55+58+48) ÷4
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Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?
Answers
Answer:
At week 4, he plans to ski the same as Jake
Step-by-step explanation:
Step-by-step explanation: took the test
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle.
The angle at vertex D is obtuse.
Answers
check each option
1st one: obtuse triangle
osbuse means that the triangle has an angle more than 90 degrees
remember that all angles add to 180
90 is one
90+D+F=180
D+F=90
so those 2 mystery angles both have to be less than 90 so therefor none of them can be obtuse
not 1st option
2nd: angle at D is acute
acute means less than 90
so we remember that
D+F=90
no angle can be 0 so let's say F is a very small number like 0.0001
then D would be 89.9999
still less than 90, it is acute
this 2nd optin is right
3rd: angle at F is obtuse
wrong, from 1st one, no obtuse angles
3rd option is wrong
4th: right triangle
duh, a right triangle has a right angle in it
90 degrees is a right angle
yes
4th optin is right
5th: D is obtuse
naw, fam. no obtuse angles here
the right answers are 2nd and 4th or
The angle at vertex D is acute and
Triangle DEF is a right triangle
Answer:
In other words, A, D.
Step-by-step explanation:
What was the least number of notebooks that Jackie could have bought this time?
Answer
notebooks
Answers
Answer:
Step-by-step explanation:
Answers
x 1 2 3 4
f(x) 1 8 27 64
If f(x) is shifted 4 units up to obtain g(x), which table of values represents the function g(x)?
x 5 6 7 8
g(x) 5 12 31 68
x 1 2 3 4
g(x) 5 12 31 68
x 5 6 7 8
g(x) 1 8 27 64
x 1 2 3 4
g(x) 4 32 108 256
Answers
The solution is Option B.
x = { 1 , 2 , 3 , 4 }
g(x) = { 5 , 12 , 31 , 68 }
The function g ( x ) = x³ + 4
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as A
Now , the value of A is
when x = 1
f ( x ) = 1
when x = 2
f ( x ) = 8
when x = 3
f ( x ) = 27
when x = 4
f ( x ) = 64
So , the equation will be y = x³ be equation (1)
Now , f(x) is shifted 4 units up to obtain g(x)
So , Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Substituting the values in the equation , we get
when x = 1
g ( x ) = 1 + 4 = 5
when x = 2
g ( x ) = 8 + 4 = 12
when x = 3
g ( x ) = 27 + 4 = 31
when x = 4
g ( x ) = 64 + 4 = 68
Therefore , the function is g ( x ) = x³ + 4
Hence , the function is g ( x ) = x³ + 4
To learn more about transformation of a function click :
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Answer:
The second answer is correct.
Step-by-step explanation:
So g(x) = f(x) + 4
If f(x) = 1, 8, 27, and 64 then g(x) = 5, 12, 31, and 68.