4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1,-5) I
ULTS
Factor completely
5) 15m2 - 6
6) 2x2 + 5x - 10% - 25

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

simplifying the equation

subtract 3 from both sides

Divide both sides by 4

So our equation in vertex form is:

5)

Given the expression

Factor out the common term 3n

6)

Given the expression

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.