At a garden center grass seeds sell for $8 per pound. Kalil spent $10 on grass seed. What amount of seed did he buy

Mathematics

1 answer:

Brut [27]2 years ago

7 0

Kalil bought 1 pound and 1/4. ( 1 1/4) It means: 1 pound and a quarter pound.

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Given four functions, which one will have the highest y-intercept?

beks73 [17]

<span>The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.

Given the functions

A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.

B.
x g(x)
0 6
1 2
2 10

The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.

C. The function h of x equals 4 to the x power, plus 3
When x = 0, $h(x)=4^0+3=1+3=4$
Thus the y-intecept is 4.

D. j(x) = 10(2)^x
when x = 0, $j(x)=10(2)^0=10(1)=10$
Thus, the y-intercept is 10.

Thereforen the function with the highest y-intercept is $j(x)=10(2)^x$ which has a y-intercept of 10.
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6 0

2 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$