Write the equation of the line tangent to
y = x^3 – 2x + 3 at x = -1.

Answer:

Step-by-step explanation:

-2  1/2 = -2.5( i between -2 and -3

 -3/4   One mark short to 1

        or 3 marks from  zero

Answer:

The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped

Step-by-step explanation:

Answer: 79

Step-by-step explanation:

If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.

First convert the interest to a monthly rate:

= 4% / 12 months

= 1 / 3 %

Period:

= (63 - 34) x 12 months a year

= 348 months

Amount saved:

= Amount x ( (1 + rate) ^ number of periods - 1) / rate

= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%

= $294,811.07

If he started saving at 20, the number of periods would be:

= (63 - 20) x 12

= 516 months

Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%

= $616,758

The difference is:

= 616,758 - 294,811.07

= $321,946.93

Find out more on future value savings at https://brainly.com/question/26662056.

Answer:

x=7.1429 I think that's the answer and I think it's A

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-4x - 4y = -2 <== add 4x to both sides

+4x         +4x

-4y = 4x - 2 <== divide both sides by -4

/-4      /-4

y = -x + 1/2

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

Answer:

Parallel line:

-1

Perpendicular line:

1

Step-by-step explanation:

Let's simplify first!

-4x-4y=-2

-4x=-2+4y

4y=-4x+2

y=-x+0.5

For a parallel line, the slope should be the same

Therefore...

Slope=1

For a perpendicular line, the slope should be the negative reciprocal of the original.

Therefore...

Slope=-(-[tex]\frac{1}{1}[/tex])

=1

Hope this helps! :D

Answer:

C

Step-by-step explanation:

because the nearest is to ones tenth hundred thousand

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

1)

[tex]x = 25 - \frac{2}{3} y[/tex]

[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]

2)

[tex]x = 1 + 2y[/tex]

[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]

Answer:

equals 1864 and this head and this talk

Answer:

Circumference: 10.63

Hope this helps.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:14 {g}^{2} [/tex]

plug the value of given as -1 :

[tex]\qquad \tt \dashrightarrow \:14( - 1) { }^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:14(1)[/tex]

[tex]\qquad \tt \dashrightarrow \:14[/tex]

Do, the equivalent term is 14

Answer:

A = 32 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

here b = 8 and h = 4 , then

A = 8 × 4 = 32 cm²

The exponential growth function will be:  y = 4000(1 + 0.04)⁴

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

Read more about Exponential Growth Functions at; https://brainly.com/question/27161222

#SPJ1

Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum

Answer:

Step-by-step explanation:

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

Answer: 75 degrees

Step-by-step explanation:

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

To learn more about subtraction, please check: https://brainly.com/question/854115

The scale factor of 0.75 would ensure that the new fence has a smaller area

The total cost of fencing the smaller area is $1610.28

From the complete question, we have the following parameters:

Start by calculating the perimeter of the smaller area using:

Smaller Area = Perimeter * Scale factor * k

Where k represents the number of units on the smaller area

So, we have:

Smaller Area = 28 yards * 0.75 * 12

Evaluate the product

Smaller Area = 252 yards

The total cost is then calculated as:

Total cost = Unit cost * Smaller Area

This gives

Total cost = 6.39 * 252

Total cost = $1610.28

Hence, the total cost of fencing is $1610.28

Read more about scale factors at:

https://brainly.com/question/3457976

Answer:

I thnk the answer is in the next question go do that then

Step-by-step explanation:

then come back and figure it out

Answer:

was there a table diagram or anything or you only got the question like that?

Answer:

No, the medians continue to intersect at a single point.

Step-by-step explanation:

Plato

Step-by-step explanation:

can you clear more I don't understand

Answer:

X= 2

X= -8

Hope this helps :)

Answer:

x=2 and x=-8

Step-by-step explanation:

First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.

I could help you with math

Answer:

where

Step-by-step explanation:

according to distributive property

x+(y+z) = (x+y) + z

hope it helps...!!!