A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?

Answer:

(0,-1)

Step-by-step explanation:

(0,-1) will work because when you plug them is it is equivalent to 4

Given:

An exponential function [tex]f(x)=ab^x[/tex] passes through the points (0, 12000) and (2, 3000).

To find:

The values of a and b.

Solution:

We have,

[tex]f(x)=ab^x[/tex]      ...(i)

It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get

[tex]12000=ab^0[/tex]

[tex]12000=a(1)[/tex]

[tex]12000=a[/tex]

Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get

[tex]3000=12000b^2[/tex]

[tex]\dfrac{3000}{12000}=b^2[/tex]

[tex]\dfrac{1}{4}=b^2[/tex]

Taking square root on both sides.

[tex]\pm \dfrac{1}{2}=b[/tex]

For an exponential function b cannot be negative. So, [tex]b=\dfrac{1}{2}[/tex].

Therefore, the value of a is 12000 and the value of b is [tex]\dfrac{1}{2}[/tex].

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

Answer:

whats the question?

Step-by-step explanation:

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

Answer:

Answer choice B

Step-by-step explanation:

Here is the form you are using:

y=mx +b

Substitute:

y=6x-5

Answer choice B

Answer:

2.29

Step-by-step explanation:

8.5-6.21

4 10

8.50

-6.21

2.29

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

Answer:

4 x 3 is 12 so he has 12 marbles on his desk

Answer:

log (2x)=3

2=ln 3x)

4=log(x)

f(x=1)=−1f(x=2)=1f(x=3)=3

Answer:

The chosen topic is not meant for use with this type of problem.

−

3

,  

(

1

,

3

)

5

,  

(

1

,

1

)

4

,  

(

2

,

−

4

)

Step-by-step explanation:

Answer:

m<−18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

m+12<−6

Step 2: Subtract 12 from both sides.

m+12−12<−6−12

m<−18

Answer:

its 40,000

Step-by-step explanation:

Answer:

y=1/13x - 4/13

Step-by-step explanation:

Just follow the slope intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

Answer:

x = 4

Step-by-step explanation:

Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.

To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.

Therefore,

9x - 21 = 15

Add 21 to both sides

9x - 21 + 21 = 15 + 21

9x = 36

Divide both sides by 9

x = 4

I think it's D because the y-intercept is (0, -2), and in D the filled in circle is on (0, -2) and it goes up one and right one, which is the slope. Although C does this it ends with only one filled in circle, but D still has the two circles and line in between them.

Answer:

x = 1

Step-by-step explanation:

Length of the rectangle = x

Width of the rectangle = 2x + 3

Side length of the square = 3x

Perimeter of the rectangle = 2(length + width)

= 2{x + (2x+3)}

= 2(x + 2x + 3)

= 2x + 4x + 6

= 6x + 6

Perimeter of a square = 4 * length

= 4 * 3x

= 12x

If both polygons have the same perimeter

Perimeter of the rectangle = Perimeter of a square

6x + 6 = 12x

6 = 12x - 6x

6 = 6x

x = 6/6

x = 1

Answer:

6.5, 6.49

Step-by-step explanation:

The numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions.

Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given number: 6.58

Now, we have to find the number less than 6.58

6.58 < 6.583

6.58 > 6.5

6.58 = 6.58

6.58 >5.98

6.58 > 6.538

6.58 > 6.49.

Hence, the numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

Learn more about decimal here:

https://brainly.com/question/548650

#SPJ2

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

[tex]Weekdays = \$m /hour[/tex]

[tex]Weekends = \$1.2m/hour[/tex]

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

[tex]m = 1\ hour[/tex]

Multiply both sides by 9

[tex]9 * m = 1\ hour * 9[/tex]

[tex]9 m = 9\ hours[/tex]

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

[tex]1.2m = 1 \ hour[/tex]

Multiply both sides by 3

[tex]3 * 1.2m = 1 \ hour * 3[/tex]

[tex]3(1.2m) = 3 \ hours[/tex]

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Answer:

Answer

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )

14x = 28 ( divide both sides by 14 )

x = 2

Answer:18

Step-by-step explanation:4(-3) = -12, and 40-12=18

Answer:

18

Step-by-step explanation:

Answer:62.5

Hello

Step-by-step explanation:

1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)

2.50x1.25=62.5

Hope this helped

Or I might be wrong Im not sure yet.

Answer:

10x

Step-by-step explanation:

Answer:

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

d .2

d will be the answer

by simplify

Answer:

4

Step-by-Step Explantion:

Base it always the big number not the little one on the top.

Answer:

Step-by-step explanation:

I never seen that kind of question

Answer:

x<3

Step-by-step explanation:

Let's solve your inequality step-by-step.

0>3x−3−6

Step 1: Simplify both sides of the inequality.

0>3x−9

Step 2: Flip the equation.

3x−9<0

Step 3: Add 9 to both sides.

3x−9+9<0+9

3x<9

Step 4: Divide both sides by 3.