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makkiz [27]
2 years ago
5

Simplify the linear expression

Mathematics
1 answer:
vekshin12 years ago
5 0

Answer:

\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of -\frac{1}{4} a would be 2, and in the case of \frac{2}{3} the value would be 2. This would result in the equation: -\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}. Then simply combine like terms to get your final answer.

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A car is moving at a average speed of 56 hole 3/5 km per hours . How much distance will it cover in 7 hole 1/2 hours?​
vovikov84 [41]

Answer:

3.5km

Step-by-step explanation:

not sure but this is how I'll do it tho

distance= 7 x 1/2 = 3.5 (km)

5 0
2 years ago
PLEASE HELPPPPP
dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

\frac{6}{9} = \frac{2}{3} = a

y = \frac{2}{3} (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0
2 years ago
The zoo charges $4 admission fee
Andrews [41]

Answer:

Intial Value; $4 (charged)

Rate of change: $2 every exhibit visited

Admission: $4

1 exhibit visited: $6

2 exhibits visited: $8

3 exhibits visited: $10

4 exhibits visited: $12

5 exhibits visited: $14

6 exhibits visited: $16

7 exhibits visited: $18

8 exhibits visited: $20

etc.

Step-by-step explanation:

4+2x = C

C= Cost

X = amount of exhibits visited

To find the total cost.

5 0
2 years ago
Simplify the scalar multiplication on the matrix.
Romashka-Z-Leto [24]

Answer:

third option

Step-by-step explanation:

Given

3 \left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]

Multiply each element in the matrix by 3

= \left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]

= \left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right]  

7 0
2 years ago
If odd natural numbers are less than 7, then they are prime numbers.
guajiro [1.7K]
I think true?? i think! im really not sure but yea
5 0
2 years ago
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