All categories

3 years ago

Expand and simplify 4(2x +7) – 3(x + 5)

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Answer:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

<u>Expand and simplify the expression</u>

$4\left(2x+7\right)-3\left(x+5\right)$

Expand 4(2x + 7) = 8x + 28

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand -3(x + 5) = -3x - 15

$=8x+28-3x-15$

Group like terms

$=8x-3x+28-15$

Add similar elements: 8x - 3x = 5x

$=5x+28-15$

Simplify

$=5x+13$

Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

You might be interested in

Rewrite the quadratic function in vertex form.<br> Y=2x^2+4x-1

Fantom [35]

Answer:

$\large\boxed{y=2(x+1)^2-3}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

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

(h, k) - vertex

We have

$y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)$

We must use the formula: $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)$

Use the distributive formula a(b + c) = ab + ac

$2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3$

5 0

2 years ago

How to find the maximum height projectile motion?

ziro4ka [17]

Y=v(initial)*t+1/2at^2
since the velocity is zero at the maximum height then we get
y=1/2at^2
a is just acceleration due to gravity so a=g which is 9.8 m/s^2.
so y=1/2gt^2.

7 0

3 years ago

The graph shows which equation?

liraira [26]

Answer:

First option / a - y = 2x - 2

Step-by-step explanation:

We can tell it'll either be the first one or the second one as the line intercepts the y-axis at -2, so the b will be -2.

The line goes up 2 and over 1, so the slope will be 2. Putting all the pieces together gives us the first option of y = 2x - 2.

4 0

2 years ago

Josie used 1/2 of the milk for pancakes this morning. If her brother and sister divided what was left to eat cookies with their

gogolik [260]

Answer:

1/4 cup of milk

Step-by-step explanation:

= 1/2 ÷ 2

= 1/2 × 1/2

= 1/4

4 0

2 years ago

Jonathan bought a calculator for X$. Cindy bought the same calculator for 3 times more than Jonathan paid for his calculator. Wh

Andrej [43]

Answer:

3x or 3*x

Step-by-step explanation:

5 0

3 years ago