All categories

4 years ago

Find 15/4+(−4 1/3). Write your answer as a fraction in simplest form.

Mathematics

1 answer:

zalisa [80]4 years ago

6 0

Answer:

-7/12

Step-by-step explanation:

15/4 simplified is 3 3/4

so 3 3/4 - 4 1/3

this equals -7/12

You might be interested in

What is the slope for y=2

Arada [10]

The slope would be zero

7 0

3 years ago

The height of an object above the ground in feet can be modeled as a function of time, t, in seconds using the equation: h(t)= -

11111nata11111 [884]

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

16(t-3)^2 = 288

After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

-16(t-3)^2 = - 162

or (t - 3)^2 = 10.125, or

t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

7 0

4 years ago

What’s 12 x 11? Please answer quickly

marin [14]

Answer:

132

Stage 1: Regroup.

12 x 10 = 120.

Stage 2: Add 12 more.

120 + 12 = 132.

Hope it helps!

8 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B9x%7D%5E%7B2%7D%20-%20%7B%28x%7D%5E%7B2%7D%20-%204%29%20%7B%7D%5E%7B2%7D%20

Alenkinab [10]

Answer:

${ x^2+3x-4}$

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

$\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }$

= $\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}$

= $\frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}$

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= ${ (x-1)(x+4)}$

= ${ x^2+3x-4}$

3 0

3 years ago

Read 2 more answers

What is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?

s2008m [1.1K]

Answer:

Step-by-step explanation:

Given the line: $y=\dfrac43 x+1$

The gradient of the line, $m=\dfrac43$

A line perpendicular to the given line will have a gradient, $m=-\dfrac34$ (by definition of perpendicularity).

Therefore, a perpendicular line that passes through the point (4,1) is:

$y-y_1=m(x-x_1)\\y-1=-\dfrac34(x-4)\\y-1=-\dfrac34x+3\\y=-\dfrac34x+3+1\\y=-\dfrac34x+4$

Comparing with the slope-intercept form y=mx+x, the slope of the perpendicular line, b=4.

4 0

3 years ago