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2 years ago

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Mathematics

1 answer:

jasenka [17]2 years ago

5 0

Answer:

-8 and -2

Step-by-step explanation:

f(x) basically means y and at the y value 0 the x values are -8 and -2 (also known as the roots of the function)

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Charmaine's penny bank is 2/3 full. After she removes 160 pennies, it is 4/9 full. How many pennies can Charmaine's bank hold?

charle [14.2K]

2/3 = 6/9

6/9 - 4/9 = 2/9

160÷2 = 80

80 = 1/9

80*9= 720 pennies

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2 years ago

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One day each summer, Chandler earns money by having a lemonade stand in his neighborhood. He charges $0.50 per glass of lemonade

alex41 [277]

He sold 48 glasses of lemonade.

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2 years ago

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MAX POINTS

mrs_skeptik [129]

Let's do

$\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k$

Release k for some while

we take h=0

y=3/x

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

put -5 in place of h

$\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}$

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}$

Vertical asymptote at x=-5

Now

for k=0 horizontal asymptote at origin

But it's given

y is at 12

Same put y=12 in place of k

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12$

h=-5
k=12

Graph attached for verification

3 0

2 years ago

27.) A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and

Talja [164]

Answer:

c) The equation to find the price of each shrub is $53.50 = 4 p + $17.50

The cost of 1 shrub = p = $ 9.00

Step-by-step explanation:

The total number of shrubs purchased = 4

The price paid for potting soil = $17.50

The total bill of purchase = $53.50

Let us assume the cost of 1 shrub = $p

The total amount spent of 4 shrubs = 4 x ( The price of each shrub) = 4 p

TOTAL BILL = The amount paid for 4 shrubs + AMOUNT paid for SOIL

⇒ $53.50 = 4 p + $17.50

Now. solving for p, we get:

53.50 - 17.50 = 4 p

or, 3 6 = 4 p

or, p = 36/4 = 9

or, p = 9

Hence, the cost of each shrub = $9

3 0

2 years ago

The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1

Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

$(n,l)=(11,34)\text{ and }(n,l)=(44,26)$

Let us find slope of the line through these points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424$

Therefore, we can write the equation of line in slope intercept form as:

$n=-0.2424l+b$

Where b is the y intercept, and we can find its value using one of the two points.

$34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67$

Therefore, the required equation of the linear function is:

$n=-0.2424l+36.67$

4 0

3 years ago