All categories

3 years ago

Which of the lines graphed has a slope of -1/2 and a y-intercept of 3?

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

8 0

Answer:

The answer is image 3.

Step-by-step explanation:

The equation for the line will be y = (-1/2)x + 3 so the gradient is negative and you will have to find the x-intercept and y-intercept.

x-intercept :

$let \: y = 0$

$0 = - \frac{1}{2} x + 3$

$\frac{1}{2} x = 3$

$x = 3 \div \frac{1}{2}$

$x = 6$

y-intercept :

$let \: x = 0$

$y = - \frac{1}{2} (0) + 3$

$y = 3$

Elodia [21]3 years ago

8 0

Answerc

Step-by-step explanation:

You might be interested in

Math question: solve for x. -7.8(x + 6.5) = -25.74

BlackZzzverrR [31]

My calculator says bad expression.

7 0

3 years ago

Can someone plz help ASAP -5+30<-10

Zigmanuir [339]

Answer:

This is False

Step-by-step explanation:

-5+30<-10

False

6 0

2 years ago

Read 2 more answers

12.) Write y = 1/6 x + 7 in standard form using integers.

Trava [24]

Option A

-x + 6y = 42 is the standard form

Solution:

Given that we have to write $y = \frac{1}{6}x+7$ in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

$y = \frac{1}{6}x+7$

Let us convert the above equation into standard form

$y = \frac{x}{6} + 7$

$y = \frac{x}{6} + \frac{7}{1}$

Make the denominator same in R.H.S

$y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}$

Solve the above equation

$y = \frac{x}{6} + \frac{42}{6}$

$y = \frac{x+42}{6}$

Move 6 from R.H.S to L.H.S

$6y = x + 42$

Bring all the terms to one side, leaving only constant on R.H.S

$-x + 6y = 42$

The above equation is of form Ax + By = C

Thus option A is correct

3 0

2 years ago

Question 11

dem82 [27]

Answer:

There were 49 questions on this Geometry test.

Step-by-step explanation:

You can start by setting up a proportion:

x = total number of questions on Geometry test

$\frac{37}{x}$ = $\frac{75.51}{100}$

Now, to solve for x, cross multiply:

75.51x = 3700

Finally, isolate x and solve:

x = 49.0001324328

This is very close to 49.

3 0

3 years ago

The bacteria in an old piece of cheese is growing at a rate that can be modeled by y = 280 • 2^x. Determine which number represe

Katyanochek1 [597]

The answer is C.) 2

The general form of formula is
y = a • r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time

Let's compare:
y = a • r^x
y = 280 • 2^x

Since r = 2, the growth rate is C.) 2

5 0

3 years ago

Read 2 more answers