MATHEMATICS HIGH SCHOOL

Two numbers multiply to be -40 and add to be 3. What are the numbers?

Answers

Answer 1

Answer:

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0 or, y-8=0

y=-5 y=8

When y=-5,

x=3-y

3--5

3+5

When y=8,

x=3-y

3-8

-5

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they've invested to earn $20 in a savings account that offer 3% return on the investment the value of david's investment will be at least $400 after a period of

Answers

I=PRT
P=present amount
R=rate
T=time
basically
20+interest is more than or equal to 400
20+I>400
minus 20 both sides
I>380

solve
P=20
R=3%=0.03
T=?
I=PRT
380<I=PRT
380<20(0.03)(T)
380<0.6T
divide both sides by 0.6
633.33333<T
633.33 years at least

Answer:T=20

Step-by-step explanation:

Plato

Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing.1) 5 - y = 2x
6x - 15 = -3y

2) 6y + 2x = 8
12y + 4x = 4

Answers

The correct classification of the given equations is as follows:

First equation is dependent
Second equation is inconsistent

What is a Dependent Equation?

This refers to the system of equations where an equation has infinite solutions and has more than one form on a given line.

With this in mind, we can see that when we are given a system of equations such as

5 - y = 2x

6x - 15 = -3y, then we know that this is a dependent equation because of the infinite solutions on the two equations.

Read more about dependent equations here:
brainly.com/question/10417850

1. Is Dependent.
2. Is Inconsistent

What comes next 12 17 22 27

Answers

Answer:

Step-by-step explanation:

count by fives

1057 is not a perfect square

Answers

Answer:

Are you asking or telling? Bc it looks like ur telling

Step-by-step explanation:

Which of the following is the graph of f(x) = x2 − 5x + 4?

Answers

Answer:

refer attachment for the graph.

Step-by-step explanation:

Given: The equation $f(x)=x^2-5x+4$

We have to draw the the graph for the given equation.

Consider the given equation $f(x)=x^2-5x+4$

The vertex of the parabola of the form $f(x)=ax^2+bx+c$ is given by $x=-(b)/(2a)$

Here, a = 1 , b = -5 and c = 4

Thus, vertex is

$x_v=-(\left(-5\right))/(2\cdot \:1)=(5)/(2)$

Also, the y coordinate at $x=(5)/(2)$ is

$y_v=\left((5)/(2)\right)^2-5\cdot (5)/(2)+4$

Simplify, we get,

$y_v=-(9)/(4)$

Thus, The vertex of parabola is $\left((5)/(2),\:-(9)/(4)\right)$

y - intercept is the point where x = 0

Plug x = 0 in given equation $f(x)=x^2-5x+4$

$f(0)=0^2-5(0)+4=4$

Thus, y - intercept is (0,4)

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

$x^2-5x+4=0$

Solving the given quadratic equation using quadratic formula ,we have

$x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)$

we have a = 1 , b = -5 and c = 4

$x_(1,\:2)=(-\left(-5\right)\pm √(\left(-5\right)^2-4\cdot \:1\cdot \:4))/(2\cdot \:1)$

Simplify, we have,

$x_(1,2)=(5\pm√(9))/(2)$

Thus, $x_1=4, x_2=1$

Thus, The x - intercept are (4,0) and (0,1)

Plot the graph and we obtain as shown below.

I made a graph of the equation hope this helps.

Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3)

Answers

Answer: The required slope-intercept form of the given linear equation is

$y=4x-14.$

Step-by-step explanation: We are given to write the following linear equation in slope-intercept form :

$y+2=4(x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the slope-intercept form of a straight line is written as

$y=mx+c,$

where 'm' is the slope and 'c' is the y-intercept of the line.

From equation (i), we have

$y+2=4(x-3)\n\n\Rightarrow y+2=4x-12\n\n\Rightarrow y=4x-12-2\n\n\Rightarrow y=4x-14.$

Thus, the required slope-intercept form of the given linear equation is

$y=4x-14,$ where slope, m = 4 and y-intercept, c = -14.

it would be y=4x-14.

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Can you give examples of situations that might be modeled with trigonometric functions?

Reorder the steps to construct Angle JOB, a copy of Angle A.__ Construct oj__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.