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3 years ago

Factor the polynomial. 2x²+6x+4=

1 answer:

8 0

(2x+2)(x+2) Look there is a way most people don't know but I always use it. it's super easy once you learn it. So the equation is ax²+bx+c=0 b you have to think of two numbers whose sum is b and prod. is ac. So in this situation the sum is 6 and the prod. is 2×4=8 . Two numbers there sum is 6 and product is 8 are: 4 and 2 so we rewrite the equation 2x²+6x+4 delete the 6x and put the two numbers we found with an x like this : 2x²+4x+2x+4 then you take the first two together and the last two together like this : (2x²+4x)+(2x+4) you then factorise the two brackets take the common factor. 2x(x+2)+2(x+2) In any equation it's a must to find two similar brackets take them common and combine like this (x+2)(2x+2). and then it's done. I know it's a bit strange and hard but once you perfect it any polynomial is a piece of cake.

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Angie feeds her cat 1/4 cup of food each day. there are 6 cups of cat food in the bag. how many days will the bag of cat food la

ExtremeBDS [4]

The bag of cat food will last for 24 days.

(6 divided by .25 is 24.)

8 0

3 years ago

Look at the graph shown<br> Which equation best represents the line?

Brilliant_brown [7]

$y=\frac{11}{4}x +4$ is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

$x_1=0,y_1=-4,x_2=4, y_2=7$

General form of equation of a line is y = mx + c

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

<em>y-intercept is the point which line crosses at y-axis.</em>

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{7-(-4)}{4-0}$

$$m=\frac{11}{4}$

Equation of the line:

y = mx + c

$y=\frac{11}{4}x +4$

Hence $y=\frac{11}{4}x +4$ is the equation best represents the line.

5 0

3 years ago

Help<br> Pls :/.........

Sveta_85 [38]

Answer:

Step-by-step explanation:

m<4= 109*

m<3= 71*

m<1= 71*

3 0

3 years ago

Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4

Vladimir [108]

Sick my dock is the answer

7 0

3 years ago

The point (8,-4) lies on a circle. What is the length of the radius of this circle if the center is located at (5,-7)

Kamila [148]

Notice the picture, the radius is just the distance from the
center to a point on the circle, thus

$\bf \textit{distance between 2 points}\\ \quad \\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{5}}\quad ,&{{ -7}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ -4}})
\end{array}\qquad 
% distance value
\\\\\\
\begin{array}{llll}
d = &\sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}$

$\bf \begin{array}{llll}
d = &\sqrt{({{ 8}}-{{ 5}})^2 + ({{ -4}}-{{(-7)}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}
\\\\\\
d=\sqrt{(3)^2+(-4+7)^2}\implies d=\sqrt{3^2+3^2}\implies d=\sqrt{18}
\\\\\\
d=\sqrt{9\cdot 2}\implies d=\sqrt{3^2\cdot 2}\implies d=3\sqrt{2}$

4 0

4 years ago