Write the equation
for this line in
slope-intercept form.

y = ?/?x+ ?

Considering the given focus and directrix, the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

The equation of a parabola, with a directrix in y, is:

[tex]y - k = a(x - h)^2[/tex]

In which:

In this problem, we have that the x-coordinate of the vertex is h = 0.

From the focus and the directrix, we have that:

k+C = -9.5

k - c = 9.5.

Hence k = 0, C = -9.5 = a = 0.25C = -2.375.

Thus the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

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Most secured loans are not high-interest loans and they are usually backed by collateral.

Secured loans demand the borrower to dedicate an asset or security as an assurance or collateral for the loan in order to get it.

For example:

Secured loans are often long-term loans; e.g, the average period of a house loan is 30 years, whereas vehicle loans run 4-5 years.

These kinds of loans are often repaid in monthly installments and have low-interest rates.

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Answer:

subtract 75 out of 636.75 then once you get that answer divided it by 100 to get the percentage

Answer:

Step-by-step explanation:

The question is 10b/(2b + 8)

The reciprocal will not make a minus sign. B and C are both wrong. Powers can create a minus sign but not this kind of question

Two terms creating a binomial must stay together. In this case (2b + 8) must be entirely in the top or bottom of the fraction. That makes  D wrong.

Answer: A is the correct reciprocal.

Answer:

300 students were surveyed.

Step-by-step explanation:

Well, we know that 57% of students like blue, so that leaves 43% who like red. By simply dividing 129 by 43, we get 3, so know we can conclude that 1% is equal to 3 students. Knowing this, we can multiply 3 by 57 to get 171. Adding these up, we get 300, and we can verify this, by simply finding the difference between 57 and 43, which is 14. Now that we also know that 1% is equal to 3 students, we can multiply 14 by 3, to get 42, which is also the difference between 171 and 129.

[tex] {t}^{3} = \frac{64}{27} \\ [/tex]

[tex]t = \sqrt[3]{ \frac{64}{27} } \\ [/tex]

[tex]t = \frac{ \sqrt[3]{64} }{ \sqrt[3]{27} } \\ [/tex]

[tex]t = \frac{4}{3} \\ [/tex]

#1

Passes through

y=x² passes through (-1,1)

Stepped 4 times

#2

First make a negative as parabola is opening downwards.

Passes through (1,-2)

y=-x² passes through (1,-1)

So

final graph

Answer:

a)  Stretched parallel to the y-axis by a scale factor of 5

b)  Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.

Step-by-step explanation:

Transformation

y = a f(x)

[tex]\textsf{Parent function}:\quad y=x^2[/tex]

[tex]\textsf{Transformed function}:\quad y=5x^2[/tex]

Transformation:  Stretched parallel to the y-axis by a scale factor of 5.

[tex]\textsf{Parent function}:\quad y=x^2[/tex]

[tex]\textsf{Transformed function}:\quad y=-\dfrac{5}{2}x^2[/tex]

Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.

Answer:

A "zero" of a polynomial is a value of x at which the polynomial, when evaluated, is equal to zero. Since (−x)4=(−1)4x4=x4 ( − x ) 4 = ( − 1 ) 4 x 4 = x 4 , the zero 0 has multiplicity 4 .

...

Answer:

1/x^2

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x5"   was replaced by   "x^5".  1 more similar replacement(s).

Step 1:

Simplify x^3 / x^5

Dividing exponential expressions :

x^3 divided by x^5 = x ^ (3-5) = x^(-2) = 1/x^2

The measure of all three angles is 81, 49.5 and 49.5 degrees.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.

The angle sum property formula for any polygon is expressed as, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon. This property of a polygon states that the sum of the interior angles in a polygon can be found with the help of the number of triangles that can be formed inside it.

Given:

The triangle is isosceles which has two sides equal.

Also Two angles equals.

Let the equal angles are x.

third angle= 81 degree

Now, Using Angle Sum property

x+ +x + 81 = 180

2x= 180-81

2x= 99

x= 99/2

x= 49.5 degrees

Hence, the two smaller angles are 49.5 degrees.

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#SPJ2

Answer:

50,12

Step-by-step explanation:

any number that has 5 in the tensplace is correct

1/10 of 100 is 10

Answer:

5

Step-by-step explanation:

cup of Chex mix needed for 4 servings =  [tex]\frac{1}{3}[/tex]

cup of Chex mix needed for 1 servings = [tex]\frac{1}{3}*\frac{1}{4} =\frac{1}{12}[/tex]

cup of Chex mix needed for 60 servings = [tex]\frac{1}{12}*60=5[/tex]

The function p(x) = x-3/2x-6 is a polynomial function, and the value of p(3) is undefined

The function is given as:

P(x) = x - 3/2x- 6

Set x = 3

P(3) = 3 - 3/2(3)- 6

Evaluate the difference

P(3) =0/0

A division by 0 is undefined

Hence, the value of p(3) is undefined

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Answer:

24

Step-by-step explanation:

area of a triangle is length x width, divided by 2. so 8 times 6, divided by 2. 48/2 = 24.

The area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².

Area of a quadrant = 1/4 × area of a circle = 1/4 × πr²

The figure has been partitioned into A, B, C to E.

The area of the shaded region = A + B

Step 1: Find the area of A:

Area of A = area of the square formed by D, A, and C - area of D + area of C.

Area of D = area of square - area of quadrant formed by A and C

Area of D = s² - 1/4 × πr² = 2² - 1/4 × π(2)²

Area of D = 0.86 ft²

Area D = area of C = 0.86 ft²

Area of D + area of C = 2(0.86) = 1.72 ft²

Area of A = 4 - 1.72 = 2.28 ft²

Step 2: Find the area of quadrants E and F

Area of quadrants E and F = 2(1/4 × πr²) = 2(1/4 × (3.14)(2)²)

Area of quadrants E and F = 6.28 ft².

Step 3: Find the area of B

Area of B = area of the biggest quadrant - area of quadrants E and F + area of square formed by D, A, and C

Area of B = 1/4 × πr² - 6.28 + 4

Area of B = 1/4 × π(4²) - 10.28

Area of B = 2.29 ft².

Step 4: Find the area of the shaded region

Area of the shaded region = A + B = 2.28 + 2.29

Area of the shaded region = 4.57 ft².

In conclusion, the area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².

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Answer:

im sorry I don't know I didn't do stuff like this in school

Answer: His temperature is 99°F

Step-by-step explanation:

Let's state what we know:

Steve's temperature was initially 102°F

Later it dropped 3°F lower

Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now

102-3=99

Answer:

Step-by-step explanation:

Let the area of water is w and area of land is l.

Their ratio is:

or

Find the value of l

Let that be x

Answer:

f(x) and g(x) are inverses of each other

Step-by-step explanation:

To find the inverse of a function, swap the x's and y's and then solve for "y"

f(x) = 5x + 2

y  = 5x + 2

Swap:

    x = 5y + 2

  -2        - 2

x - 2 = 5y

÷5     ÷5  

Answer:

a13

Step-by-step explanation:

a^9 × a^4 = a(9 + 4)

= a13

Answer:

$3.99

Step-by-step explanation:

a gallon of gas=2.17$

12 gallons of gas=2.17$×12 =26.04$

2 jugs of anti freeze =7.98$ × 2 = 15.96$

a bottle of oil = 2.49$

tax= 1.52$

total= 46.01$

he paid 50$

so the change could be 50$-46.01$ = 3.99$

the answer is 3.99$

Answer:

Russ is correct

Step-by-step explanation:

Russ is correct because 130/22 will not be quite to 6, but you can't have 9/10 of a bus so you will round up to 6.

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 =11^2

25 + b^2 = 121

b^2 = 121 - 25

b^2 = 96

b =9.8

I don't know if this what you need but I hope this helps

Answer:

Option: C

Analysis:

— Each day earning = $8.25 x H hours

= 8.25 h

Now,

— buys lunch for 6.50

then,

— money left

= 8.25h - 6.50

Answer: B: 24%

Step-by-step explanation:

Answer:

I would say it's C

Step-by-step explanation:

trust the process

Step-by-step explanation:

the decay or "half-life" of radioactive particles is really a big joke by nature, in my opinion.

it takes that much time for half of the amount to decay, so, naturally, one wound assume that after a second interval then the other half is gone.

but far from it. no, only the half of the originally remaining half is then gone (the half of a half is 1/2 × 1/2 = 1/4). and after another interval the half of the half of the half is then gone. and so on.

so, this creates a geometric sequence with the common factor (or ratio) if 1/2.

that means every term is created by multiplying the previous term by 1/2.

a.

how many "half-lives" in 1104 days ?

well, with every 138 days such a half-life is over.

so, the answer is how often 138 fits into 1104 :

1104 / 138 = 8

there are 8 "half-lives" of polonium-210 in 1104 days.

b.

how much polonium-210 is in the sample after 1104 days ?

since we have 8 half-lives, we need to multiply the original amount 8 times by 1/2. in other words by 1/2⁸.

2⁸ = 256

so, our calculation is

30 g × 1/256 = 0.1171875 g ≈ 0.12 g

so, the second answer option is correct.

Answer:

91⁰

Step-by-step explanation:

By using exterior angle theorm,

3=44+47=91⁰