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3 years ago

9

Wisdom scores n marks in a test. a. Antonio scores 2 marks less than wisdom. Write down an expression for Antonio's mark in term

s of n

1 answer:

jenyasd209 [6]3 years ago

8 0

Wisdom’s score = n
Antonio’s score = n-2

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8) Factor each sum or difference of cubes completely.<br> a. 8x3 + 27

ASHA 777 [7]

Answer:

$\large\boxed{(2x+3)(4x^2-6x+9)}$

Step-by-step explanation:

$8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)$

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3 years ago

What is a similar triangle?

statuscvo [17]

$\large\text{Hey there!}$

$\large\text{\bf{Similar triangles}}}\large\text{ \underline{are basically} \boxed{\text{triangles that have the same SHAPE}}}\\\boxed{\large\text{but they can still be different. They can still be similar if one them is}}\\\boxed{\large\text{rotated or one of them is reflected image of the other triangle}}\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\dag\dfrac{\frak{LoveYourselfFirst}}{:)}$

5 0

3 years ago

PLease help me with this!

astraxan [27]

Answer:

1. x2 - 9 > 0

x^2-3^2>0

(x+3)(x-3)>0

(x+3)>0 and (x-3)>0

x>-3 and x>3

2. x2 - 8x + 12 > 0

x^2 - 8x +12>0

x^2 -2x -6x +12 >0 (-8x is replaced by (-2x) + (-6x) )

x(x-2) -6(x-2) >0

(x-6)(x-2)>0

(x-6)>0 and (x-2)>0

x>6 and x>2

3. -x2 - 12x - 32 > 0

-x^2 -12x -32 >0

x^2 +12x +32 <0

x^2 +4x +8x +32<0

x(x+4) +8(x+4)<0

(x+8)(x+4)<0

(x+8)<0 and (x+4)<0

x<-8 and x<-4

4. x2 + 3x - 20 >= 3x + 5

x^2 +3x -20 >= 3x +5

x^2 +3x -20 -3x >= 3x +5 -3x

x^2 -20 >= 5

x^2 -20 +20 >= 5 +20

x^2 >=25

x^2-25 >=0

(x-5)(x+5)>=0

(x-5)>=0 and (x+5)>=0

x>=5 and x>=-5

6 0

2 years ago

If f (x) = 3, what is the value of f (-7)<br><br> A. x -10<br> B. 3<br> C. -4<br> D. -21

Gemiola [76]

Answer:

D

Step-by-step explanation:

3*(-7)=(-21)

7 0

3 years ago

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track

Tpy6a [65]

Answer:

Option C is the answer.

Step-by-step explanation:

Given diameter is = 2 miles

So, radius will be = 1 mile

Let t represents the number of hours it took Johanna to walk completely around the lake.

Now, the circumference is given as: $2\pi r$

So, circumference = $2(3.14)(1)$ = 6.28 miles

Johanna's speed = 3 miles/ hour

We know the formula $Time=Distance / Speed$

t = $6.28/3$

t = 2.09 hours

This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.

3 0

3 years ago