How to determine if a number is prime or composite

Find the equation for the line that passes through (-7,5) that has a slope of 2

Setler79 [48]

Point slope formula y-y1=x(x-x1)

7 0

3 years ago

Laney ordered 12 copies of the same book for his book club members the book cost $19 each in the order has a $15 shipping charge

liubo4ka [24]

Answer:

$408

Step-by-step explanation:

15+19=34

34×12=408

Total cost of order $408

7 0

3 years ago

The graphs shown are of the form y = ax2. Which graph has the smallest value for a?

julia-pushkina [17]

$y= x^{2}$ is a parabola (looks like the letter U).

The letter a represents the coefficient of $x^{2}$ and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).

The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.

If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.

So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.

The a also controls whether the graph is concave up or concave down. If a is negative

If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.

So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)

3 0

3 years ago

Find the length of the missing sides. Round your answers to the nearest tenth. 8 y x 21

wlad13 [49]

Answer:

x = 20.8

y = 22.3

Step-by-step explanation:

tan(21) = 8/x

or, x = 8/tan(21)

or, x = 20.8 (rounded to the nearest tenth)

sin(21) = 8/y

or, y = 8/sin(21)

or, y = 22.3 (rounded to the nearest tenth)

Answered by GAUTHMATH

4 0

3 years ago

Luis has 5 cans of soda. He will buy more cans of soda from the store. The store has 12 cases in stock and each case contains 24

-BARSIC- [3]

We are given function f(c) = 24c+5 that models the number of cans Luis will have after his purchase of more c number of cases Luis purchase.

We need to find the domain of the function in respect to the given function.

Here we used variable c. And c represents the number of cases Luis can purchase.

Minimum number of cases Luis can purchase = 0.

There are total 12 cases in stock.

Therefore, maximum number of cases Luis can purchase = 12.

<h3>So, the domain of the function is {0,1,2,3,4,5,6,7,8,9,10,11,12}.</h3>

8 0

3 years ago