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3 years ago

Is it always, sometimes, or never true that a linear equation has exactly one y-intercept?

Mathematics

2 answers:

lapo4ka [179]3 years ago

3 0

This is always true.

y = mx + b
y is output
m is slope
x is input
b is y intercept

Kitty [74]3 years ago

3 0

It is sometimes true that a linear equation has exactly one y-intercept

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3 years ago

a father is now 38 years older than his son. Ten years ago he was twice as old as his son. let x represent the age of the son no

Helga [31]

The present age of father is 86 years old and present age of son is 48 years old

Solution:

Given that, a father is now 38 years older than his son

Ten years ago he was twice as old as his son

Let "x" be the age of son now

Therefore, from given,

Father age now = 38 + age of son now

Father age now = 38 + x

Ten years ago he was twice as old as his son

Age of son ten years ago = age of son now - 10

Age of son ten years ago = x - 10

Age of father ten years ago = 38 + x - 10

Then we get,

Age of father ten years ago = twice the age of son ten years ago

38 + x - 10 = 2(x - 10)

28 + x = 2x - 20

2x - x = 28 + 20

x = 48

Thus son age now is 48 years old

Father age now = x + 38 = 48 + 38 = 86

Thus present age of father is 86 years old and present age of son is 48 years old

7 0

3 years ago

Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector

lutik1710 [3]

Answer:

$2x+50$

Step-by-step explanation:

Given: Hector saved twice as much money as Sam.

Ted saved $100 more than Hector.

Gina saved $50 less than Ted.

As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

∴ Hector saving= $\$2x$

Also, Ted saved $100 more than Hector.

∴ Ted´s saving= $\$(2x+100)$

Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

∴ Gina´s saving= $\$ (2x+100)-\$ 50$

Opening parenthesis and solving it.

⇒ Gina´s saving= $\$ 2x+\$50$

Algebric expression of Gina´s saving= $2x+50$

5 0

3 years ago