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V125BC [204]
3 years ago
14

A line passes through the point (0,2) and has a slope of -1/4. What is the equation of the line

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

Answer:

Step-by-step explanation:

use point-slope formula [y-y1 = m(x-x1) ] with the given info

P=(x1,y1) = (0,2)  and slope m = -1/4

y-2=-1/4(x-0)

y-2= -1/4x

now try to move things till you get the slope-intercept form [y=mx+b]

y= -1/4x+2

good all done :)

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For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?
Oduvanchick [21]

Answer:

x = - 5 , x = \frac{2}{3}

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

4 0
2 years ago
Find m&lt;1.<br> A.30<br> B.35<br> C.40<br> D.55
mihalych1998 [28]

Answer:

m <1 = 30

Step-by-step explanation:

The sum of the angles of a triangle add to 180

Let x be the unknown angle

75+75+x = 180

Combine like terms

150+x =180

Subtract 150 from each side

150-150+x = 180-150

x = 30

5 0
2 years ago
The question is number 6 i don't know if I got it right I really need to know and this is solving quadratics by completing the s
zhenek [66]

Answer:

Step-by-step explanation:

If u = 6 then substitute so

6(6+6)=6 know solve but this isn't going to be correct because 6 plus 6 is 12 times 6 isn't 3

So your answer isn't correct. I think it would be a negative number or decimal because 6 is larger than 3. Hope this helps!

it is u(u+6)=3

I got u=6

4 0
2 years ago
Please please please help me
mario62 [17]
The answer is d or b it’s bin along time sense I’ve done it
3 0
3 years ago
For all values of x,
Nana76 [90]

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

6 0
2 years ago
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