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3 years ago

Write the equation of the line in standard form that has slope m= -4 and through the point (3,-7).

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

y = -4x + 5

Explanation in pic. Have a good day...Give brainliest if I deserve.

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A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2

sveta [45]

Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4

3 0

3 years ago

The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).

nata0808 [166]

Answer:

18 cm

Step-by-step explanation:

The ratio of Actual length (L) to scale length is 27 : 3.6

27 ÷ 3.6 = 7.5

Therefore, actual width (W) = scale width x 7.5

= 2.4 x 7.5

= 18 cm

6 0

3 years ago

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

iVinArrow [24]

I'll use my own formula (similar to yours tho)

$A=P(1+ \frac{r}{n})^{nt}$
A=future amount
p=invested
r=rate in decimal
n=number of times per year compounded
t=time in years

so
when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
and 12%=0.12=r
so

$2P=P(1+ \frac{0.12}{4})^{(4*t)}$
divide both sides by P
$2=(1+ \frac{0.12}{4})^{(4*t)}$
simplify
$2=(1+ 0.03)^{4t}$
$2=(1.03)^{4t}$
take the ln of both sides
$ln(2)=ln(1.03)^{4t}$
$ln(2)=4tln(1.03)$
$ln(2)=t(4ln(1.03))$
divide both sides by 4ln(1.03)
$\frac{ln(2)}{4ln(1.03)}=t$
use calculator
5.86244=t
about 5.9 years

4 0

3 years ago

Read 2 more answers

Greg has $400 in his savings account. Each month he spends $50 on shoes. After how many

Rashid [163]

Answer:

Step-by-step explanation:

400/50=8

4 0

3 years ago

A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was

Temka [501]

The correct answer is C.

If our equation is y=x+2, the fact that there is no number attached to x means that there is a slope of 1.
Since we are doubling the slope, we would multiply 1 by 2.
1*2=2.
Our equation is now y=2x+2.

I also says to divide the y intercept by 2. The y intercept is the +2 after the x, so divide 2 by 2.
2/2=1
Our equation is now y=2x+1

3 0

3 years ago