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Marat540 [252]
3 years ago
11

A map has a scale of 5 in. = 17 mi. If you measured the distance between two cities to be 23 in. on the map, how many miles woul

d it actually be?
Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer: 78.2

Step-by-step explanation:

You can figure out by making proportions so 5/17=23/x and then solve for x

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Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.
____ [38]

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

    f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

6 0
2 years ago
3) What is the shape of the graph of the equation y = 5x – 2?​
german

Answer:

  • Line

Step-by-step explanation:

The equation y = 5x - 2 is slope-intercept form of linear function.

  • The shape of the graph is the line

It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane

6 0
3 years ago
Use the x-intercept method to find all real solutions of the equation.<br> x^3-6x^2+3x+10=0
dedylja [7]

Answer:

x=-1 or 5 or 2

Step-by-step explanation:

x³-6x²+3x+10=0

(x+1)(x-5)(x-2)=0

x+1=0 ⇒ x=-1

x-5=0 ⇒x=5

x-2=0 ⇒ x=2

3 0
3 years ago
Given cos 0 = 3/5 and 0 is in Quadrant I, what is the value of tan 0 ?
olga_2 [115]

Answer:

4 / 3

Step-by-step explanation:

cos θ = 3 / 5

cos 53 = 3 / 5

θ = 53

tan θ = sin θ / cos θ

sin 53 = 4 / 5

tan 53 = sin 53 / cos 53

= ( 4 / 5 ) / ( 3 / 5 )

= ( 4 / 5 ) x ( 5 / 3 )

= ( 4 x 5 ) / ( 5 x 3 )

tan 53 = 4 / 3

4 0
3 years ago
X4 – x3 – 9x2 – 3x + 1 = 0
Diano4ka-milaya [45]

Answer: are we just simplifying?

Step-by-step explanation:

6 0
3 years ago
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