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hram777 [196]
3 years ago
5

The x-intercept was substituted incorrectly

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

Step-by-step explanation:

let the eq. of parabola be

y=ax²+bx+c

points (-1,0),(2,0),(3,4) and (0,-2) lie on it.

0=a-b+c

0=4a+2b+c

subtract

3a+3b=0

a=-b

4=9a+3b+c

-2=0+0+c

c=-2

a-b-2=0

-b-b-2=0

-2b-2=0

b+1=0

b=-1

a=-b=-(-1)=1

eq. of parabola is

y=x²-x-2

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Pens cost 15 pence each.
ch4aika [34]

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50  = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 =  £32.40

The amount the school pays =  £32.40.

7 0
3 years ago
Which equation is an identity?
zloy xaker [14]
3w + 8 - w = 4w - 2(w - 4)
is an identity
3w-w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
2w - 2w = 8 - 8
0 = 0
zero equal to zero implies that any value of w satisfies the statement 3w + 8 - w = 4w - 2(w - 4) hence it is an identity.
3 0
4 years ago
Read 2 more answers
Let f(x)=2x2−8 .
MrRa [10]
Move down c units means minus 2 from whole function

f(x) moved down 2 units means f(x)-2
so

f(x)-2=2x²-8-2
f(x)-2=2x²-10


g(x)=2x²-10
3 0
3 years ago
Read 2 more answers
Let t be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t)=700−40t. a) For 0≤
Flura [38]
What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.

How big can (t) get before water actually starts escaping the reservoir?

Essentially, to figure this out r(t) would have to be equal to 0. 

700 - 40t = 0

40t=700

t=700/40=17.5

So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.

---------------

The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.
7 0
3 years ago
Brianna deposited $680 into a savings account that pays simple and your interest rate of 1.29% how much interest will she earn a
noname [10]
The answer is b just take the decimal off and subtract
8 0
3 years ago
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