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2 years ago

Which of the following equations is of a line whose slope is 3/4 and y-intercept is 6?

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = $\frac{3}{4}$ and c = 6, hence

y = $\frac{3}{4}$ x + 6 ← in slope- intercept form

multiply through by 4

4y = 3x + 24 ( subtract 4y from both sides )

0 = 3x - 4y + 24 ( subtract 24 from both sides )

- 24 = 3x - 4y , that is

3x - 4y = - 24 ← in standard form

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Evaluate the expression 6z+5(-2z-7) for z=-1

kumpel [21]

Answer:

-31

Step-by-step explanation:

First let's plug in the value of z into the expression as it looks easier than expanding,

6(-1) + 5(-2(-1)-7)

Now we follow the order of PEMDAS,

6(-1) + 5(2-7)

6(-1) + 5(-5)

-6 - 25

-31

7 0

2 years ago

1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will

musickatia [10]

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

4 0

2 years ago

A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds

ruslelena [56]

X*80+y*60= 50*74
x +y =50 | * ( -60)

80x + 60y= 50*74
-60x - 60y=-50*60
---------------------------
20x= 50*(74-60)=50*14
x=50*14/20=35 pounds of 80 cents tea
y=50-35=15 pounds of 60 cents tea

8 0

2 years ago

The volume of a cone is 3πx3 cubic units and its height is x units.

GaryK [48]

Answer:

It is given that the volume of a cone = $3 \pi x^{3}$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3} \pi r^{2}h$

Equating the given volumes, we get

$3 \pi x^{3}$ = $\frac{1}{3} \pi r^{2}h$

$r^{2} h =3 \times 3 x^{3}$

$r^{2} h =9 x^{3}$

It is given that the height is 'x' units.

Therefore, $r^{2} x =9 x^{3}$

$r^{2} =9 x^{2}$

Therefore, r = 3x

So, the expression '3x' represents the radius of the cone's base in units.

8 0

2 years ago

Read 2 more answers

Suppose m is a point in the interior of JKL if MKL = 42 andJKL = 84 what is JKM

gtnhenbr [62]

Answer:

∠JKM = 42°

Step-by-step explanation:

Since M is in the interior of ∠JKL, then

∠JKM + ∠MKL = ∠JKL ← substitute values

∠JKM + 42 = 84 ( subtract 42 from both sides )

∠JKM = 42°

5 0

2 years ago