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3 years ago

Which of the following is the graph of f(x) = x^2 − 5x + 4?

1 answer:

8 0

Factor to find x intercepts
x intercepts occur where f(x)=0
so
0=f(x)=x^2-5x+4
what2 numbers multiply to get 4 and add to get -5?
-4 and -1
0=(x-4)(x-1)
set to zero
x-4=0
x=4

x-1=0
x=1

x intercepts at 1 and 4
so therefor it is the 3rd option

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Daniel had 80 more stickers than Elle. He gave 1/4 of his stickers to Elle. She then gave 3/5 of her stickers to Daniel. In the

Pepsi [2]

Answer:

Daniel had 108 stickers at first

Step-by-step explanation:

Number of Daniel's stickers = d

Number of Elle's stickers = e

Since Daniel had 80 more stickers than Elle, d = 80 + e

e = d - 80

Daniel gave 1/4 of his stickers to Elle, Daniel is left with (d - d/4) = 3d/4

Elle now has e + d/4 = d - 80 + d/4 = (5d/4) - 80 = (5d - 320)/4

Elle now gave 3/5 of her remaining stickers to Daniel:

Elle now has:

$e_{new} = \frac{5d -320}{4} - \frac{3}{5} * \frac{5d -320}{4}\\\\e_{new} = \frac{5d -320}{4} - \frac{15d -960}{20}\\\\e_{new} = \frac{25d - 1600 - 15d + 960}{20} \\\\ e_{new} = \frac{10d-640}{20}$

Daniel now has:

$d_{new} = \frac{3d}{4} + \frac{3}{5} (\frac{5d - 320}{4} )\\d_{new} = \frac{3d}{4} + \frac{15d - 960}{20} \\d_{new} = \frac{30d - 960}{20}$

Daniel now had 92 more stickers than Elle

$d_{new} = E_{new} + 92$

$\frac{30d - 960}{20} = \frac{10d - 640}{20} + 92$

Multiply through by 20

30d - 960 = 10d - 640 + 1840

20d = -640 + 1840 + 960

20 d = 2160

d = 2160/20

d = 108

7 0

3 years ago

Solve for x. write both solutions. separated by a comma 7x^2+8x+1=0

oksano4ka [1.4K]

Answer:

look at the pic

Step-by-step explanation:

Simple trinomal

Glad to help!!!

8 0

3 years ago

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Dominic runs a farm stand that sells peaches and grapes yesterday Dominic sold 34 pounds of peaches and 45 lb of grapes for a to

iren2701 [21]

Answer:34p+16g=208

47p+16g=208

Step-by-step explanation:

Let p=the price of each pound of peaches.

Let g=the price of each pound of grapes.

Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25

Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then

47p+16g=208

34p+45g=192.25

47+16g=208

3 0

3 years ago

In the equation $\frac{1}{j} + \frac{1}{k} = \frac{1}{3}$, both $j$ and $k$ are positive integers. What is the sum of all possib

Darina [25.2K]

Answer:

ayo ion get the equation. type up it again?

Step-by-step explanation:

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3 years ago

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Sam opened a money-market account that pays 2% simple interest. He started the account with $7,000 and made no further deposits.

I am Lyosha [343]

I = prt
420 = 7000 x .02 x t
420 = 140 x t
420/140 = 140 x t /140
t = 3 years

8 0

3 years ago