MATHEMATICS HIGH SCHOOL

Find the solutions to the equation -5/2x+3/4x=-3\4

Answers

Answer 1

Answer:

Simplify both sides of the equation

-5/2 x +3/4 x = -3/4

Combine like terms

(-5/2 x + 3/4 x )

-7/4 x = -3/4

Multiply both sides by 4/(-7)

(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )

x = 3/7

Answer 2

Answer: $-(5)/(2)x+(3)/(4)x=-(3)/(4)\n\n-(5*2)/(2*2)x + (3)/(4)x=-(3)/(4)\n\n(-10)/(4)x+(3)/(4)x=-(3)/(4)\n\n(-10+3)/(4)x=-(3)/(4)\n\n-(7)/(4)x=-(3)/(4)\n\n-(7)/(4)x * -4 =-(3)/(4) * -4\n\n7x = 3\n\n\boxed{\bf{x =(3)/(7)}}$

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What is the reflection of the point (-5,2) in the line y=2?

Answers

Answer:

-2/5

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Choose the correct simplification of the expression (4a^4b)^2.

Answers

Answer:

The simplified expression is $16a^(8b)$

Step-by-step explanation:

we need to simplify the expression $(4a^(4b))^(2)$

$(4a^(4b) )^(2)$

Using exponent rule : $(a* b)^(n) = a^(n)b^(n)$

$4^(2)(a ^(4b))^(2)$

$16(a ^(4b) )^2$

Apply exponent rule :

$(a^b)^c= a ^(b*c)$

$(a ^(4b) )^2= a ^(8b)$

$16a^(8b)$

Hence, simplified expression is $16a^(8b)$

$(4a^(4b) )^(2)$

Apply exponent rule : $(a*b)^n = a^nb^n$

$4^2(a ^(4b))^2$

$(a ^(4b) )^2$

Apply exponent rule :

$(a^b)^c= a ^(b*c)$

$= a ^(8b)$

$= 4^2 = 16$

$=\ \textgreater \ 16 a ^(8b)$

hope this helps!

F(x)=5x+1 Find f(-4)
Any idea how to solve this question?

Answers

I have an idea also.

so f(x) means the function of x
a function is when you put a value into the function (think of it like a machine) it processes the value and spits a value out so
f(-4) means put -4 into the funciton so put -4 for x in the funciton so
f(-4)=5(-4)+4
f(-4)=-20+1
f(-4)=-19

Yes, I have an idea.

Take the (-4) and put it into the F(x) in place of the 'x'.

Try it and let us know if it works.

An architect has a floor plan for a house is designing. The length of a room of the house on the floor plan is 10 inches. If the scale of the floor plan is 1/3 inch = 0.5 ft, what is actual length of the room?A) 5 ft
B) 6.7 ft
C) 10 ft
D) 15 ft

Answers

If 1/3 inch represents 0.5 ft, then 10 inches will represent (10 * 0.5)/(1/3) = 3 * 5 = 15ft

Final answer:

The actual length of the room is 15 ft.

Explanation:

To find the actual length of the room, we need to use the scale provided. The scale is 1/3 inch = 0.5 ft. We know that the length of the room on the floor plan is 10 inches. We can set up a proportion to solve for the actual length:

1/3 inch / 0.5 ft = 10 inches / x ft

Cross multiplying, we get:

1/3 * x = 0.5 * 10

Simplifying, we get:

x = 0.5 * 10 * 3

x = 15 ft

Therefore, the actual length of the room is 15 ft, which corresponds to the given length of 10 inches on the floor plan.

Learn more about Length here:

brainly.com/question/32060888

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What is the perimeter of a rhombus whose diagonals measure 42cm and 56cm?

Answers

Answer:

676

Step-by-step explanation:

d1×d2/2

42×56/2

1352/2=676

please check it by doing again

Answer:

1176

Step-by-step explanation:

=a half the product of its diagonals

=1/2(42x56)

=1176

3. You are buying potato chips at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 bags. How do you compute your final cost? (1 point). Subtract $0.50 off of each bag and then divide by 2.. Divide each bag by 2, subtract $0.50 off of each bag, and then add them together.. Add the two bags together, divide by 2, and then subtract $0.50.. Subtract $0.50 from the first bag, add them together, and then divide by 2.

Answers

We will assume that one bag of potato chips costs $1.00:
Original cost : 2 * $1.00 = $2.00
$2.00 + 50% off = $2.00 - $1.00 = $1.00
$1.00 - $0.50 = $0.50
The equation is:
Final Cost = 2 x ( Original cost ) : 2 - $0.50
Answer:
C ) Add the two bags together, divide by 2, and than subtract $0.50.

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