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2 years ago

The trinomial 2x^2+13x+6 has a linear factor of x+6. 2x^2+13x+6=(x+6)(?).what is is the other linear factor?

Mathematics

1 answer:

lakkis [162]2 years ago

7 0

Answer:

(2x +1)

Step-by-step explanation:

The first term in the trinomial is the product of first terms, so the missing factor's first term will be ...

2x^2/x = 2x

The last term (constant) in the trinomial is the product of last terms, so the missing factor's constant is ...

6/6 = 1

The missing linear factor is (2x +1).

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Write the equation for the model below. Then solve for x.

Alex_Xolod [135]

2x+2y=4x+6y
and then x will equal 2y

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2 years ago

What is the equation of the line that passes through the point (-1, -2) and is parallel to the line with equation -3x+y=4

Ivanshal [37]

Y = 3x + 1
Parallel lines have the same slope so the slope would be 3. Take the given equation and add the 3x to the other side. Using the given point. -2 (y point) = 3(-1(x point)) + b. Solve for b by adding the 3 over. b = 1 which is your y intercept.

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2 years ago

If the sum of a number and seven is tripled, the result is three less than twice the number. Find the number

hram777 [196]

Answer:

x = -24

Step-by-step explanation:

3(x + 7) = 2x - 3

3 * x = 3x

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-21 -21

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x = -24

4 0

2 years ago

Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of

Arturiano [62]

Answer:

$y = \frac{1}{8} x - 2 \frac{1}{4}$

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

$- 2 = \frac{1}{4} + c$

$c = - 2 - \frac{1}{4}$

$c = - 2 \frac{1}{4}$

Thus, the equation of line q is $y = \frac{1}{8} x - 2 \frac{1}{4}$ .

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2 years ago

A bakery used 38 pounds of flour to make French bread and

fomenos

Answer:

since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:

a = number of loaves of French bread
b = number of bagels
available amount of flour = 38

2a + b ≤ 38

2a ≤ 38 - b

a ≤ (38 - b) / 2

a ≤ 19 - 0.5b

b ≤ 38 - 2a

b ≤ 2(19 - a)

Hopefully one of these equations is one of the choices given to you.

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