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inysia [295]
3 years ago
9

How to factor 4x^2-16x+15

Mathematics
1 answer:
timama [110]3 years ago
7 0
Well you can either do box method or distribute.
But if you do the box method you get:
(2x-3)(2x-5) as your answer
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Pls help asap the best I can do is 50 points
lutik1710 [3]

Step-by-step explanation:

8.a.

a function is something that looks like

y = ax + b or similar.

it describes the way to calculate the result for whatever input value you can come up with.

so,

C = 12×d + 8

you could also say

C(d) = 12×d + 8

as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.

funny thing is : you understood this perfectly well when doing b.

c.

the constant rate of change is always the factor of the input variable. here : 12

it is the ratio of (y change) / (x change)

or here (C change / d change).

it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.

9.a.

remember, what we just said about the rate of change ?

it is (result change) / (input change).

between 2010 and 2015

the input changed by +5 (from 2010 to 2015).

the result changed by +6.25 (from 37 to 43.25).

the rate of change is therefore

6.25/5 = 1.25 = 1 1/4 = 5/4

the function is therefore

population in millions = (years since 2010)×5/4 + 37

p = y×5/4 + 37

b.

now we want to find the number of years (y) so that the result of that equation is 50.

50 = y×5/4 + 37

13 = y×5/4

52 = 5y

y = 52/5 = 10.4

so, this will be during the 11th year after 2010 = 2021.

10.

be careful and concentrate.

you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.

a.

again, remember the change rate : it is result change / input change.

so, we have here 20/5 = 4.

so,

C(n) = 4×n + 50

b.

n = 12

C(12) = 4×12 + 50 = 98

c.

now we have C(n), and want to find for which n this is true.

C(n) = 78

78 = 4×n + 50

28 = 4×n

n = 7

after 7 visits the costs are 78.

there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.

d.

the x-axis is for the number of visits, the y-axis for the costs.

so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).

4 0
2 years ago
Help please! Will give brainlest!
stira [4]
The answer is 17/22 17/20 because of the fractions
6 0
3 years ago
Read 2 more answers
Roland receives $500 as a graduation present from his aunt. He plans to use part of the money to purchase a laptop for $289, inc
katrin [286]

Answer:

52x < $211

Step-by-step explanation:

If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with

500 - 289 = $211

With this he can purchase video games. Since each video game costs the same price of $52 then we can use the variable x to represent the number of games he can buy with the following inequality...

52x < $211

5 0
3 years ago
Use the product of powers property to simplify the numeric expression.<br> 4^1/3*4^1/5
tester [92]
4^1|15 I know this cuz I had the same questions and got them right
8 0
2 years ago
Which expression is equivalent to 2.3 × 2.3 × 2.3 × 2.3 × 2.3?
alexdok [17]

An expression that is equivalent to 2.3 x 2.3 x 2.3 x 2.3 x 2.3 is 2.3^

5 0
3 years ago
Read 2 more answers
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