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2 years ago

Using the equation y^2=-5/4(x-2), find the equation of the directrix

Mathematics

1 answer:

kumpel [21]2 years ago

3 0

Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

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Theo ate .7 of his candy bar. How many more tenths must he eat to finish the whole candy bar?

Julli [10]

Answer:

3 tenths

Step-by-step explanation:

One candy bar

= 1 candy bar

= 1.0, or 10 tenths (one tenth is 0.1)

If Theo eats 0.7 of a candy bar, we know that

1.0 - 0.7 = 0.3

0.3 = 3 *0.1 (one tenth)

Therefore, the answer is 3 tenths.

8 0

3 years ago

Which absolute value equation represents the graph? PLEASE HELP

storchak [24]

Answer:

Step-by-step explanation:

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3 0

3 years ago

An account earns simple interest.

aleksandrvk [35]

$2,295.05 ,interest of $295.05

3 0

3 years ago

Read 2 more answers

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

$V(t) = V(0)(1-r)^{t}$

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that $r = 0.16$

$V(t) = V(0)(1-r)^{t}$

$V(t) = V(0)(1-0.16)^{t}$

$V(t) = V(0)(0.84)^{t}$

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

$V(t) = V(0)(0.84)^{t}$

$0.5V(0) = V(0)(0.84)^{t}$

$(0.84)^{t} = 0.5$

$\log{(0.84)^{t}} = \log{0.5}$

$t\log{0.84} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.84}}$

$t = 3.98$

The half life of the car is 3.98 years.

7 0

4 years ago

The ratios of teachers that have an android phone to iphone is 3:4. If there are 15 more teachers with iphones, how many teacher

TEA [102]

should be 11

explanation:

when given a ratio turn it into a fraction and times it by the number.

15 × 3/4 is 11.25 so 11 teachers

5 0

3 years ago