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3 years ago

What are the two factor of the the quadratic x^2 -10x-39?

Mathematics

1 answer:

VLD [36.1K]3 years ago

4 0

Answer:

(x-13)(x+3)

Step-by-step explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial $ax^2+bx+c$ multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as $(x-/+ number)(x-/+number)$ .

$x^2-10x-39$

a=1, c=-39

ac=-39 and add to b=-10 which -13 and 3 satisfy

(x-13)(x+3)

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write the equation of a line in slope intercept form that has a slope of 2/7 and has a y-intercept of 9

Rama09 [41]

Answer:

y=2/7x+9

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y= also known as f(x), and is always by itself in slope-intercept form.

m= the slope.

x= the variable written to the right of the slope.

b= the y-intercept.

We know that the slope is 2/7 and the y-intercept in the equation is 9. Therefore, we can plug these numbers into the equation. So...

y=2/7x+9

is the correct equation written in slope-intercept form.

Hope this helps!! Have an amazing day (^人^)

4 0

3 years ago

A patio was to be laid in a design with one tile in the

Vlada [557]

Answer:

Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:

S = n/2 (2a₁ + d (n − 1))

Given that a₁ = 1 and d = 1:

S = n/2 (2(1) + n − 1)

S = n/2 (n + 1)

Since S ≤ 60:

n/2 (n + 1) ≤ 60

n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

Mr. Tong should use 10 tiles in the final row to use the most tiles possible.

7 0

3 years ago

Inverse of y=14x2 show derivations

Rudik [331]

<h2>Answer:</h2>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$y=14x^2$

<h3>2. Substitute y for x, and x for y.</h3>

$x=14y^{2}$

<h3>3. Solve for y.</h3>

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

<h3>4. Express your result.</h3>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

4 0

1 year ago

The 3kg object in Figure is released from rest at a height of on a curved frictionless ramp.

yanalaym [24]

The object compresses the spring up to 0.8577m.

<h3>What is Potential Energy?</h3>

Potential Energy is the energy possessed by an object at rest.

The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.

The total amount of potential energy at the top of the ramp is given by

Ep=mgh

Ep=3 * 9.81 *5

Ep=147.15 Joules

This is equal to kinetic energy.

From the formula for elastic potential energy

The distance up to which the spring is compressed is determined

The force constant = 400N/m

147.15 =(1/2)k(x²)

294.3=(400)(x²)

0.73575=x²

x=0.8577 m

So, the object compresses the spring up to 0.8577m.

When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.

To know more about Potential Energy

brainly.com/question/24284560

#SPJ1

3 0

1 year ago

Please help me with 168÷45

velikii [3]

Answer:

3.73 ( The three is infinite)

Step-by-step explanation:

7 0

2 years ago