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3 years ago

Select the two binomials that are factors of this trinomial. x^2-3x-28 help please I really bad need it

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

Answer:

$(x-7)(x+4)$

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -28 and add to -3 for a and b.

28: 1,2,4,7,14,28

-7+4 = -3

$x^2-3x-28 = (x-7)(x+4)$

You might be interested in

A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true?

ss7ja [257]

Answer:

The circle is centered at (-8,3) and has a diameter of 20 units

Step-by-step explanation:

we know that

The equation of a circle in center radius form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$(x+8)^2+(y-3)^2=100$

The center is the point (-8,3)

The radius is $r=\sqrt{100}=10\ units$

The diameter is two times the radius

$D=2(10)=20\ units$

therefore

The circle is centered at (-8,3) and has a diameter of 20 units

8 0

3 years ago

Read 2 more answers

In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t

Ronch [10]

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are $\frac{31}{100}x$ . Because all part-time college students are also equal to 8.6 million, we have $8,600,000=\frac{31}{100}x$ . To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

$8,600,00\cdot\frac{100}{31}=x$

The left side of the equation evaluates as $27,741,935.5$ . Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.

5 0

2 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi

chubhunter [2.5K]

Answer: 4(2x²+9) or $i\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36 [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0 [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0 [divide both sides by 4]

2x²+9=0 [subtract both sides by 9]

2x²=-9 [divide both sides by 2]

x²=-9/2 [square root both sides]

$x=\sqrt{-\frac{9}{2} }$ or $x=i\frac{3\sqrt{2} }{2}$