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Flura [38]
3 years ago
7

What is f (0) for the function f (a) = 2a + 3

Mathematics
2 answers:
vovangra [49]3 years ago
3 0
F(0)= 2* 0 +3

=0+3
f(0)=3
Nikolay [14]3 years ago
3 0

Answer:

<h3>f(0) =3</h3>

Step-by-step explanation:

f (a) = 2a + 3\\\\f(0)=?

Substitute 0 for a in the given equation

f(0) = 2(0)+3\\\\f(0) = 0+3\\\\f(0) =3

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A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co
kobusy [5.1K]
So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.

the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.

\bf \begin{array}{lccclll}&#10;&\stackrel{mL}{amount}&\stackrel{\%}{concentration}&\stackrel{amount}{concentration}\\&#10;&------&------&------\\&#10;\textit{first brand}&x&0.09&0.09x\\&#10;\textit{second brand}&y&0.14&0.14y\\&#10;------&------&------&------\\&#10;mixture&230&0.13&29.9&#10;\end{array}

so, whatever "x" and "y" are, we know that x + y = 230.

and we also know that their concentration amounts will also add up,  0.09x + 0.14y = 29.9.

\bf \begin{cases}&#10;x+y=230\implies \boxed{y}=230-x\\&#10;0.09x+0.14y=29.9\\&#10;----------\\&#10;0.09x+0.14\left(\boxed{230-x}  \right)=29.9&#10;\end{cases}&#10;\\\\\\&#10;0.09x+32.2-0.14x=29.9\implies -0.05x=-2.3\implies x=\cfrac{-2.3}{-0.05}&#10;\\\\\\&#10;x=46

how many milliliters will it be for the second brand?  well, y = 230 - x.
3 0
3 years ago
Please help, thank you.
Gnoma [55]
Lets x = radius 
x^2 + 10^2 = (x+8)^2
x^2 + 100 = x^2 + 16x + 64
16x = 100 - 64
16x = 36
    x = 2.25

answer
B. 2.25
8 0
3 years ago
1.Simplify 5 to the 5th over 5 to the 8th.
timurjin [86]
Q1. The answer is <span>1 over 5 to the 3rd power.

</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is \frac{ 5^{5} }{ 5^{8} }
To simplify, we will use two rules: 
\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}
Therefore:
\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}
\frac{1}{5^{3}} is the same as 1 over 5 to the 3rd power.


Q2. The answer is <span>(53)−4.

The exponents are multiplied when are expressed in the form:
</span>(x^{a}) ^{b}= x^{a*b}
So, (5^{3} )^{-4}=5^{3*(-4)}=5^{-12}

Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}
3 to the 7th over 3 to the 15th is \frac{ 3^{7} }{3^{15}} =3^{7-15}
<span>45 ⋅ 42 is </span>4^{5}* 4^{2} =  4^{5+2}
3 0
3 years ago
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igor_vitrenko [27]
I’m not sure this question is kinda confusing.
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3 years ago
25 miles per hour = how many feet per second
ollegr [7]

Answer:36.67 i think

Step-by-step explanation:

5 0
3 years ago
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