MATHEMATICS HIGH SCHOOL

Need help on this pls

Answers

Answer 1

Answer:

Alright, lets get started.

As per the scale, $(1)/(4) '' = 1 '$

Means 0.25 '' = 1 ' (symbol '' denotes inches and ' denotes feet)

As per the drawing, the dimention of bedroom is $3(1)/(2) ''$ and $5(1)/(4) ''$ .

Means

$3(1)/(2) '' = 3 + (1)/(2) = 3 + 0.5 = 3.5''$

converting into feet, we need to divide with 0.25.

Means the first dimension would be : $(3.5)/(0.25) = 14 '$

Converting $5(1)/(4)$ into decimal : 5 + 0.25 = 5.25

Similarly, the second dimension in feet would be : $(5.25)/(0.25) = 21 '$

Hence the dimension of bedroom will be 14 ft by 21 ft : Option A : Answer

Hope it will help :)

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Which equation has the same soultions as x^2+6×-7=0

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$x^2+6x-7=0 \n a=1 \n b= 6 \n c=-7 \n \n \boxed{\boxed{\Delta=b^2-4ac}} \n \n \Delta=6^2-4*1*(-7) \n \Delta=36-(-28) \n \Delta=64 \n \Delta\ \textgreater \ 0 \Rightarrow \text{we have 2 solutions :} X_1 \ and X_2 \n \n \boxed{X_1= (-b- √(\Delta) )/(2a) } \Rightarrow X_1= (-6-8)/(2)=-7 \n \n \boxed{X_2= (-b+ √(\Delta) )/(2a) } \Rightarrow X_2= (-6+8)/(2) =1$

Find the zeros of the following polynomial.
3x3 + 9x2 - 12x

Answers

x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

If you factor 3x from the expression, you have

$3x^3+9x^2-12x=3x(x^2+3x-4)$

So, we have

$3x(x^2+3x-4)=0 \iff 3x=0\lor x^2+3x-4=0$

We easily have

$3x=0\iff x=0$

So, one solution is x=0.

The other solutions depend on the quadratic equation:

$x^2+3x-4=0 \iff x=-4 \lor x=1$

So, the solutions are $x=-4,\ 0,\ 1$

Find the area of the shaded region. Round to the nearest tenths place. (hint: COMPOSITE SHAPE)

Answers

Answer:

Step-by-step explanation:

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

Answers

f(x) = 3x^2 : axis of symmetry is x = 0.
g(x) = x^2 - 4x + 5 = (x - 2)^2 + 1 : axis of symmetry is x = 2
h(x) = -2x^2 + 4x + 1 = -2(x - 1)^2 + 3 : axis of symmetry is x = 1

Therefore, based on their axis of symmetry, f(x) < h(x) < g(x)

Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take? 3 hours
6 hours
8 hours

Answers

it would take 3.5 hours just by plane

and 18.5just by train

so the answer is 6 hours

Answer:

the correct answer is 6 hours

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Answers

1.4km 1000 meters is equal to 1 kilometer i hope that this helps

1.4km 1000 meters is equal to 1 kilometer

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