Figure 3 shows a sketch of part of the curve C with equation
Y=x(x+ 4)(x - 2)
The curve C crosses the x-axis at the origin and at the points A and B.
(a) Write down the x-coordinates of the points A and B.

Answer:

yo thank you man your the best

Tysm have a good day :)

Answer:

That is  1/5.

Step-by-step explanation:

It is also 20%(if you need that too.)

Answer:

2 and 4

Step-by-step explanation:

the number of years after 2000 cannot be negative, nut it can be 0 since you can say that it is the year 2000

so an inequality would be t is greater than or equal to 0, and you can write this as t [tex]\geq[/tex] 0

4 is just saying what t [tex]\geq[/tex] 0 in word form: t is greater than or equal to 0

Answer:

its 3.

Step-by-step explanation:

HOpe that helped

Answer:

Sylvia needs to work at least 19 hours.

Step-by-step explanation:

Inequality: 10x + 120 ≥ 310

Subtract 120 from both sides;

10x ≥ 190

Divide both sides by 10;

x ≥ 19

The function f(x) = x^2-1 when evaluated with 2, gives the value 3.

A function can then be defined as a set of ordered pairs. Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the given situation,

Stan evaluated a function with a value and got 3 as the result.

For this statement, we can frame many functions with different inputs.

Let us consider the function,

(1)  [tex]f(x)=2x-3[/tex]

Now substitute x = 3,

⇒ [tex]f(3)=2(3)-3[/tex]

⇒ [tex]f(3)=6-3\\[/tex]

⇒ [tex]f(3)=3[/tex]

(2) [tex]f(x)=x^{2} -1\\[/tex]

Now put x = 2,

⇒ [tex]f(2)=2^{2}-1[/tex]

⇒ [tex]f(2)=4-1[/tex]

⇒ [tex]f(2)=3[/tex]

Similarly we can make many functions that has the value 3 as the result.

Hence we can conclude that the function f(x) = x^2-1 when evaluated with 2, gives the value 3.

Learn more about functions here

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Answer:

Step-by-step explanation:

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x  = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

      • take the coefficient of X

that is -8

     • divide it by 2

-8 ÷ 2 = -4

     • square that number

-4*-4 = 16

     • then add it to both sides of the  equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 =  sqr root (18) +4 = 4.2426406871  + 4 = 8.2426406871

x2 = sqr root (18) -4 =  = 4.2426406871  - 4 = .2426406871

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

google 15% off 860$ and which equals 731 and then do 860-731

Answer:

$95

Step-by-step explanation:

315-120=95

Answer:

195

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

2(x-10)=54

2x-20=54

2x=74

x=37

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

To learn more about congruent triangles, click:

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Answer:

60%

Step-by-step explanation:

24/40=0.6

0.6=60%

Answer:

60

Step-by-step explanation:

24:40×100=

(24×100):40=

2400:24=60

Answer:

Yes, I think they are right cause i got the same answer

Step-by-step explanation:

Given:

Principal amount = $3000

Rate of simple interest = 1.1%

To find:

The amount that the customer will earn in one year.

Solution:

Formula for simple interest is

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Substituting P=3000, r=0.011 and t=1, we get

[tex]I=3000\times 0.011\times 1[/tex]

[tex]I=33[/tex]

Therefore, the customer will earn $33 in one year.

Answer: true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.

pls answer pls pls

Answer:

D

Step-by-step explanation:

Answer:

uhh what kinda symbols r those

Step-by-step explanation:

Answer:

The 1st choice

Step-by-step explanation:

Let a point is defined as P(a,b).

If a>0, then point is a units right from origin and if a<0, then then point is a units left from origin.

If b>0, then point is b units up from origin and if b<0, then then point is b units down from origin.

It is given that the location of the movie theater is at (2, −3).

In the given point a=2>0 and b=-3<0.

A coordinate grid with a point at 2 units to the right and 3 units down from the origin labeled movie theater.

Answer:

one or seven READ DESCRIPTION

Step-by-step explanation:

y =-3x. -9x-4y=21

-9x+12x=21

3x=21

3*7=21

if you didn't mean to do a double negative then it would be one, but otherwise it's seven

Answer:

one

Step-by-step explanation:

right on edge

Answer:

-8

Step-by-step explanation:

-8 * (-2) - 4 * (6) =

16 - 24

0

f(1) = -2

g(4) = 6

Answer:

1.11/39

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer: Choice C)  [tex]x = 4\pm2\sqrt{10}[/tex]

This is the same as saying [tex]x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}[/tex]

=============================================================

Explanation:

First get everything to one side

x^2 + 13 = 8x + 37

x^2 + 13 - 8x - 37 = 0

x^2 - 8x - 24 = 0

Here we have a quadratic in the form ax^2+bx+c = 0

Note how a = 1, b = -8, c = -24

Those values are plugged into the quadratic formula below

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(-24)}}{2(1)}\\\\x = \frac{8\pm\sqrt{160}}{2}\\\\x = \frac{8\pm\sqrt{16*10}}{2}\\\\x = \frac{8\pm\sqrt{16}*\sqrt{10}}{2}\\\\x = \frac{8\pm4*\sqrt{10}}{2}\\\\x = \frac{2(4\pm2\sqrt{10})}{2}\\\\x = 4\pm2\sqrt{10}[/tex]

This shows the answer is choice C.

The plus minus breaks down that equation these two solutions

[tex]x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}[/tex]

Answer:

Slope: -5

y-Intercept: -1

Step-by-step explanation:

In the equation y = mx + b (its the form of a linear equation) the slope is m and the y-intercept is b. Comparing that to the problem, we can see that m = -5 and b = -1. So, the slope is -5 and the y-intercept is -1.

Answer:

y= -5x -1

y=mx+b

b- is y intercept

m-is slope

Step-by-step explanation:

Answer:

112 Ounces

Step-by-step explanation:

2 Cups + 4 Pints + 2 Quarts = 14 Cups

14 Cups = 112 Ounces

Answer:

144 ounces of soup

Step-by-step explanation:

2 cups= 16 ounces

4 pints= 64 ounces

2 quarts= 64 ounces

64+64+16=144

Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

Answer:

A.12

Step-by-step explanation:

The reason is that 11/48 is equal to 0.2239..., so when you round that answer, it is closer to 12.