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3 years ago

Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).

Mathematics

1 answer:

Setler79 [48]3 years ago

3 0

Answer:

$\Huge \boxed{3a+4}$

Step-by-step explanation:

The function is given.

$f(x)=3x+1$

To find : $f(a+1)$

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

$f(a+1)=3(a+1)+1$

Expand brackets.

$f(a+1)=3a+3+1$

Simplifying.

$f(a+1)=3a+4$

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Bianca took a job that paid $150 the first week. She was guaranteed a raise of 6% each week. How much money will she make in all

ivann1987 [24]

Answer:

$225.54 (hope it help)

Step-by-step explanation:

for 2nd week

$150 for the first week and a raise of 6% each week

which means 150+6%

6% of 150 is 9 (150x0.06)

150+9=159

and it repeats

for 3rd week

6% of 159 is 9.54 (159x0.06)

159+9.54=168.54

for 4th week

6% of 168.54 is 10.1124 (168.54x0.06)

168.54+10.1124=178.652

for 5th week

6% of 178.652 is 10.71912 (178.652x0.06)

178.652+10.71912=189.37112

an easier to do it is to just do 178.652 + 6% on your calculater

and I'll skip all the way to the 8th since you know the formula

212.777390432+6%=225.544033858

225.544033858≈225.54

3 0

3 years ago

Please answer answer now fast

iren [92.7K]

Answer:

fge or fgc

I think that because its kinda like the same

5 0

3 years ago

Read 2 more answers

The price of a sweater is $5 less than twice the price of a shirt. if four sweaters and three shirts cost $200, find the price o

Mandarinka [93]

Sw+5=2sh
4sw+3sh=200 
4(2sh-5)+3sh=200

$20, $35 The shirts are $20 and the sweaters are $35

8 0

3 years ago

Can anyone help me solve this Algebra 2 Problem, i literally cant figure it out

Andrews [41]

Answer:

Zeros : 1 , -1, 3

Degree : 4

End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞

Y - intercept : -3

Extra Points: (0,-3), (2,-3)

Step-by-step explanation:

f(x) = 0 to find the zeros

$Therefore (x+1)(x-1)^{2} (x-3) = 0$

Clearly x = -1,1,3

Here 1 is a repeating root as it is (x-1)²

Degree is highest power of x in f(x)

Clearly it is x*x²*x = x⁴ is the maximum power of x

Thus degree is 4

Looking at end behavior we substitute x->∞ and x-> -∞

Clearly f(x)>0 as all terms are positive and f(x)->∞

Similarly when x->-∞

f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞

Y-Intercept is f(0)

f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3

Thus Y-Intercept is -3

Substitute x = 0 , 2 for extra points

Thus f(0) = -3

and f(2) = -3

Thus points on the graph (0,-3), (0,2)

We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.

5 0

3 years ago

Derick solves the problem below.

Gala2k [10]

As it is proved that the equation has no solution, Derick is correct

Step-by-step explanation:

Given

$-3(4n + 2) = -4n + -2 (4n - 6)$

We have to solve the equation in order to check if Derick was solved the equation correctly or not.

So,

Applying distributive property first

$-12n -6 = -4n -8n +12\\-12n-6 = -12n+12\\-12n+12n-6 = 12\\-6 = 12$

As the variable is already cancelled in the equation there is no unique solution.

In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation

So,

As it is proved that the equation has no solution, Derick is correct

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago