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3 years ago

What is 1/4 of 3200?

Mathematics

2 answers:

LuckyWell [14K]3 years ago

5 0

800 is the answer to the question, What is one fourth of 3200?

Greeley [361]3 years ago

3 0

Answer: 800

Divide 3200 by 4 to get 800.

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Solve 3x+ 4x = 2. (2 points) O 2t10 O-2+2v10 3 O-2±10 3 O -41v10 3

Norma-Jean [14]

3x+4x=2
You add 3x and 4x which gets you 7x

7x=2
You divide both sides of the equation by 7

x=2/7
This will be your result

3 0

3 years ago

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

2 years ago

What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)

larisa [96]

Answer:

The vertex is the point $(-1,0)$

Step-by-step explanation:

we have

$f(x)=3x^{2} +6x+3$

we know ow that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-3=3x^{2} +6x$

Factor the leading coefficient

$f(x)-3=3(x^{2} +2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-3+3=3(x^{2} +2x+1)$

$f(x)=3(x^{2} +2x+1)$

Rewrite as perfect squares

$f(x)=3(x+1)^{2}$

therefore

the vertex is the point $(-1,0)$

6 0

3 years ago

Read 2 more answers

Determine the intercepts of the line. 4x – 1= 3y + 5 x-intercept:(_,_) y-intercept:(_,_)

BARSIC [14]

Answer:

X-intercept: (1.5,0)

y-intercept: (0,-2)

the 1.5 can also be written as 3 over 2 in fraction form.

Hope this helps! :)

4 0

2 years ago

Joseph needs to calculate how much grass seed he needs to cover his lawn. A diagram of his lawn is shown below. One pound of see

viktelen [127]

L x W = Area
40 x 15 = 600 square ft
So you would need 6 bags of feed
600/ 100 = 6

4 0

2 years ago