All categories

2 years ago

Write a linear function f with the values f(3)=2 and f(0)=6

Mathematics

2 answers:

ruslelena [56]2 years ago

7 0

Answer:

Step-by-step explanation:

f(0) = 6 means y-intercept b = 6

So we have:

f(x) = mx + 6 and f(3) = 2

So:

2 = m×3 + 6

3m + 6 = 2

3m = 2 - 6

3m = -4

m = -⁴/₃

Therefore the function:

Sergeu [11.5K]2 years ago

5 0

Answer:

for f(3)=2 is y=(2/3)x

Step-by-step explanation:

y=ax

and plug x and y into the parent function.

You might be interested in

If m = 5 and n = -2, evaluate 3m - 4n and n2 - m and find the product of the two expressions.

ddd [48]

Hence the correct answer is C) -23

Further explanation:

We have to put the values of m and n into both expression first separately and then multiply the answers.

Given expressions are:

$Exp\ 1:3m-4n\\Exp\ 2: n^2-m$

The values are:

$m=5\\n=-2$

Putting the values in expression 1:

$3m-4n\\=3(5)-4(-2)\\=15+8\\=23$

Putting the values of m and n in second expression

$n^2-m\\=(-2)^2-5\\=4-5\\=-1$

Multiplying both expressions:

$(3m-4n)(n^2-m)=23* (-1)=-23$

Hence the correct answer is C) -23

Keywords: Polynomials, Putting values in expressions

Learn more about polynomials at:

#LearnwithBrainly

8 0

3 years ago

A positive number is 30 less than its square. Find the number.

Veronika [31]

<span><span>x = x^2 - 30

or

x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0

x = +6 is the positive number</span></span>

8 0

3 years ago

Last sunday 1575 people visited the amusement park 56% was adults 16% were teenagers and 28% are children ages 12 and under find

Butoxors [25]

Answer:

984 adults

281 teens

492 children

Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.

{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}

≈ {984, 281, 492}

8 0

2 years ago

Read 2 more answers

Why can't 1.07 pounds of sugar be compared to 1.23 cups of sugar?

Anuta_ua [19.1K]

Answer:

A pound is a measure of weight and a cup is a measure of volume.

Step-by-step explanation:

5 0

3 years ago

One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitch

Colt1911 [192]

Answer:

Their respective z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their peers, Terry or Karla ?

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

5 0

3 years ago