All categories

2 years ago

Trent writes p^2 + 30 = (p + 30)(p + 0) Do you agree with Trent? Explain why

Mathematics

1 answer:

Bingel [31]2 years ago

8 0

Answer:

Statement expressed by Trent is RIGHT.

$(p^2 + 30) = (p+30)(p +0)$

Step-by-step explanation:

Here, the given expression is:

( to show) : $(p^2 + 30) = (p+30)(p +0)$

Now, as we know by DISTRIBUTIVE PROPERTY:

A (B + C) = AB + AC

Consider the RHS of the expression:

(p +30)(p+0) = (p +30)(p) ............ ( a + 0 = a for all a)

Simplifying (p +30)(p) by distributive property, we get:

$(p +30)(p) = p(p) + 30(p) \\= p^2 + 30p\\\implies (p+30)(p+0) = p^2 + 30p$

⇒ Left side = Right side

Hence, statement expressed by Trent is RIGHT.

You might be interested in

A country's population in 1993 was 94 million. in 1999 it was 99 million

Ulleksa [173]

Answer:

i dont get it

Step-by-step explanation:

5 0

3 years ago

Find the area of each figure. Round to the nearest tenth if necessary.

natita [175]

Answer:

Solution given:

diameter(d)=6mm

base(b)=8mm

height (h)=5mm

Area of figure=area of parallelogram +area of semi circle

base*height+½π(d/2)²
8*5+½*π×(6/2)²
40+14.14
54.4mm²
Area :54.14mm²

for triangle

base[b]=6ft

height(h)=9ft

for square

length[l]=9ft

Area of figure=area of square +area of triangle

=l²+½*b*h
=9²+½*6*9
=81+27
=108ft²
Area: 108ft²

6 0

2 years ago

Which statement comparing x² + 10 and x + x + x is true when x=−5 ?

Lina20 [59]

X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.

The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.

3 0

2 years ago

In her last basketball game, Carla scored 46 points. In the current game, she has scored 24 points so far. How many more two-poi

KatRina [158]

Answer:

Carla needs to make at least 11 two-pointer shots in the surrent game

Step-by-step explanation:

The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.

This will be 46 - 24 = 22 points difference

Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.

We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2

i.e number of two-pointer shots = 22/2 =11 shots

Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.

8 0

3 years ago

What is the end behavior for f(x)=4x^4+2x^3-13x^2-14x+24?

Tpy6a [65]

Answer:

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

Step-by-step explanation:

Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is x4, then the degree is 4, i.e. even, and the leading coefficient is 1, i.e. positive.

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

8 0

3 years ago