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3 years ago

Simplify the algebraic expression by removing parentheses and combining similar terms 4(x+4)+5(x+7)=

Mathematics

1 answer:

atroni [7]3 years ago

4 0

= 4x + 16 + 5x + 35

= 4x + 5x + 16 + 35

= 9x + 51

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One number is nine more than another number. If the sum of the numbers is 65 find both numbers

velikii [3]

Answer:

THEY ARE 37 AND 28

Step-by-step explanation:

LET THE NUMBERS BE X AND Y

X = 9 + Y

X - Y = 9 ........1

X + Y = 65 .....2

ADDING 1 AND 2

2X = 74

DIVIDING BY 2

2X/2 = 74/2

X = 37

AND X = 9 + Y

: Y = X - 9

PUTTING X = 37

Y = 37 - 9

Y = 28

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3 years ago

Write an inequality that represents the statement “x is at most –5 or at least 7.” A. x < –5 or x > 7 B. x > –5 or x &l

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3 years ago

What is a regular Polygon? Name all the types of polygon.(HELP ASAP)

Damm [24]

Answer:

A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...

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3 years ago

The slope of a line parallel to<br> -x + y = 12 equals what?

Viktor [21]

1. parallel lines have same slope

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4 years ago

Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

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3 years ago