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Zina [86]
3 years ago
15

Which equation represents a linear function

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

Option B) y=-3x+10 is correct

The equation y=-3x+10 represnts a linear function.

Step-by-step explanation:

To verify that which equation represents a linear function:

Given y=-3x+10

Linear functions are functions whose graph is a straight line. A linear function can be written as y=f(x)=a+bx where x is the independent variable  and y is the dependent variable.It has only one independent and dependent variables.

It can be written as y=10-3x

Given equation is also in the form of linear function where a=10 and b=-3

Therefore Option B) y=-3x+10 is correct

The equation y=-3x+10 represnts a linear function.

You might be interested in
One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.
Dimas [21]

Answer:

The ratio of the amount for swordfish to the amount of salmon is 6:4

Step-by-step explanation:

Given as :

The price for 1 pound of swordfish = The price of 1.5 pound of salmon

So, On this relation

The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 )  pound of salmon

i.e The price for 2 pound of swordfish = The price of 3 pound of salmon

Now According to question

Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39

Let the money she pay for swordfish = 2 sw

And The money she pay for salmon = 3 sa

∵, The total money she pay for both  = $ 39

I.e  2 sw + 3 sa = 39

As 2 sw = 3 sa

So, 3 sa + 3 sa = 39

Or, 6 sa = 39

or, sa = \frac{39}{6} = \frac{13}{2}

∴ sw = \frac{13}{2} × \frac{3}{2}

or, sw = \frac{39}{4}

Now, the ratio of the amount for swordfish to the amount of salmon = \frac{\frac{39}{4}}{\frac{13}{2}}

I.e The ratio = \frac{6}{4}

Hence The ratio of the amount for swordfish to the amount of salmon is 6:4

Answer

3 0
3 years ago
What appears to be the scale factor used to create this dilation?
stealth61 [152]
The answer is 0.5


Just take one point from the original shape and one from the transformed one. The just write the ordered pair out. Mine was (3,4) and (1.5, 2) Now in order for you to get from 3 to 1.5 you need to multiply 0.5 so the scale factor that was used is 0.5

Pls mark Braille at
7 0
2 years ago
Read 2 more answers
Please help me on this question
Alina [70]

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

8 0
3 years ago
Read 2 more answers
Another math question :)
Travka [436]

Lets x = Mary's age

Emily is there years older than twice her sister Mary's age = 2x + 3

Sum of both is less than 30:

x + 2x + 3 < 30

Solve for x

3x + 3 < 30

3x < 27

x < 9

Mary's age = 9

Inequality represents Mary's possible age:

0 < x < 9

Answer is the second one

0 < x < 9


4 0
3 years ago
Read 2 more answers
Which is the equation of the line?
IRINA_888 [86]
Answer: (C)2x + 8Y = 16 

\underline{X || 2x + 8Y = 16 || Y}
\underline{0\:||\:2*0 + 8Y = 16\to\:8Y = 16\to\:Y =  \frac{16}{8}\:||\:Y = 2} (0,2)
\underline{8\:||\:2*8 + 8Y = 16\to\:8Y = 16-16\to\:Y = \frac{0}{8}\:||\:Y = 0} (8,0)

<span>Check the chart for a better understanding:
</span>



3 0
3 years ago
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