a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.

8 0

3 years ago

Please help 25 points and brainliest

-BARSIC- [3]

Answer:

1a. 8

1b. AB & BC

1c. AC

2. $\sqrt{52}$ miles

3. NO

Step-by-step explanation:

1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.

A²+6²=10²

A²+36=100

A²=64

A= $\sqrt{64}$

A=8

1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.

1c. The hypotenuse is the longest side AC

2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.

6²+4²=X²

36+16=52

$\sqrt{52}$ =X

3. 15²+17²=19²

514=361

not possible

so it is not a right triangle

7 0

2 years ago

Uma is paid $12.25 for each chair she decorates. Last week she

Luda [366]

Answer:

$514.50

Step-by-step explanation:

7+4+2+8=21

$12.25x21=$514.50

6 0

3 years ago

What is the sum of the finite arithmetic series (-5)+0+5+10+ ......+65

Alex17521 [72]

If you want to solve this problem using formulas, there are two important formulas:

t1 = first term = -5

tn = nth term = last term = -5

n = numbr of terms

Sn = sum of the n terms

tn = t1 + (n - 1)d ---> 65 = -5 + (n - 1)(5)

65 = -5 + 5n - 5

65 = -10 + 5n

75 = 5n

n = 15

Sn = n(t1 + tn)/2 ---> Sn = 15(-5 + 65)/2

Sn = 450

So ur answer rounds up to 450

Letter c

hope i helped

~Luis

5 0

3 years ago