All categories

3 years ago

On which of the following lines does the point (7, 1) lie?

1 answer:

6 0

We have that
the point (7, 1)

case A.) y = 5x + 4
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line

case B.) y = -x + 8
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-7+8------> y=1--------> the point belongs to the line

case C.) y = x - 10
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line

case D.) y = -4x + 3
if the point (7, 1) lie to the line
so
for x=7 the value of y must be 1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line

the answer is the option
B.) y = -x + 8

You might be interested in

Find the surface area of this net

Kay [80]

Answer:

Umm what net? Edit your question and maybe I can Help

7 0

3 years ago

3. An elastic band which is 72 cm long to 90 cm. Find the percentage increase

Murljashka [212]

Answer:

25% increase

Step-by-step explanation:

Take the new number and subtract the original amount

90-72 = 18

Divide this amount by the original amount

18/72 = .25

Multiply by 100

25%

This is the percent increase

7 0

3 years ago

The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?

grandymaker [24]

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

$f(x)=x^4+5x^3-3x-15$

$q(x) = (x^3-3)$

We need to find the polynomial. We know that, Euclid division lemma states that

$f(x)=q(x)\times g(x)+r(x)$

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

$x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5$

So, the polynomial is (x+5).

3 0

2 years ago

Read 2 more answers

Thirty-three percent of all students at a high school like beef stew. Put of 300 students, 40 are selected randomly and asked wh

Elan Coil [88]

Thirty-three percent of all students at a high school like beef stew. Put of three hundred students, forty are selected randomly and asked whether they liked beef stew. If liking beef stew is a success, the probability of a failure for this binomial experiment would be 0.67. The answer would be letter D.

7 0

3 years ago

Read 2 more answers

Alex purchased a new car for $28,000. The car's value depreciates 7.25% each year. What will be the value of the car 5 years aft

Zanzabum

The value would be 28,000*(1-0.0725)*(1-0.0725)*(1-0.0725)*(1-0.0725)*(1-0.0725)
which is 28,000*0,9275 $^{5}$
which equals 28,000*0.6863=$19,219

6 0

3 years ago