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3 years ago

The function F is defined by F(x)=x^2+3X-10

Mathematics

1 answer:

vesna_86 [32]3 years ago

7 0

Answer:

k = 13

smallest zero = -6

Step-by-step explanation:

f(x) is basically the function of x.

x could be any integer. f(x) is the solution of the function of x.

f(x) is defined as x² + 3x - 10

f(x) = x² + 3x - 10

Now, f(x+5) = x² + kx + 30

This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.

f(x) = x² + 3x - 10

f(x+5) = (x+5)² + 3(x+5) - 10

f(x+5) = x² + 10x + 25 + 3x + 15 - 10

f(x+5) = x² + 13x + 40 - 10

f(x+5) = x² + 13x + 30

x² + 13x + 30 = x² + kx + 30

hence, k = 13

Smallest zero = The smallest x value.

f(x+5) = x² + 13x + 30

Let's take f(x+5) = 0

x² + 13x + 30 = 0

which two numbers products give us 30 and add up to 13?

== 6 and 5

(x+6)(x+5) = 0

x+6 = 0

x = -6

x+5 = 0

x = -5

The two solutions are -6 and -5

The smallest out of these two is -6.

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3 years ago

A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled. A) How many gallons of gas does the va

Setler79 [48]

Answer:

A) $\frac{x}{8}$ gallons

B) Distance between Town A and Town B is $48y$ miles

Step-by-step explanation:

We know, number of gallons = $\frac{DistanceTravelled}{MilesPerGallon}$

if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:

Number of Gallons = $\frac{DistanceTravelled}{MilesPerGallon}=\frac{3x}{24}=\frac{x}{8}$

Now, given is number of gallons = 2y & we know mpg is 24; <em>so what is the distance?</em>

We use the same formula and solve for distance (let distance between A and B be "D"):

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2 years ago

Pls help! Show all work. Will reward the brainiest for da best answer.

BaLLatris [955]

Answer:

1. 56.52 inches

2. 141,300 inches

Step-by-step explanation:

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2 years ago

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Lorico [155]

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3 years ago

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AnnyKZ [126]

Answer:

A) $5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5}$ (Yes. It has a value between zero and one.)

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3 years ago

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