(9-6i) x m = 9 - 6i What is m? 0 1 9+6i -9+61

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.

Svet_ta [14]

Answer:

A (4-g)1.5

Step-by-step explanation:

hope this helps if you need a explanation just ask in the comments and I will.

8 0

3 years ago

Can someone help me with this exercise?

olga2289 [7]

Answer:

View image

Step-by-step explanation:

You treat inequality questions just like normal equation with an equal sign. You only have to worry about the inequality when you do the shading part.

Your first goal is to solve for y, which I did at the top.

And remember that when you divide/multiply by a negative number you have to flip the inequality sign.

So the first equation is already in term of y. (y < 2x + 4)

So you only have to solve for y for -3x - 2y ≥ 6.

I solved that and got y ≤ -3/2x - 3.

Now you have 2 equations. y < 2x + 4 and y ≤ -3/2x - 3

First you gotta treat it like a normal equation and graph them.

So i graphed y = 2x + 4 and y = -3/2x - 3. I assume you already know how do do that.

btw. < and > have dotted lines, while ≤ and ≥ have solid lines.

Now for the shading, you gotta look at the inequality sign.

y < 2x + 4 has a less than sign, so you have to shade everything underneath the line you graphed.

y ≤ -3/2x - 3 is also less than, so you have to shade everything underneath that line as well.

So in the future, you you get a > or ≥ then you have to shade above the graph.

5 0

3 years ago

Determine the intercepts of the line.

natulia [17]

Answer:

Find in Step by Step

Step-by-step explanation:

x-intercept = 26/-4 = 13/-2 = -6.50000

y-intercept = 26/1 = 26.00000

Slope = 8.000/2.000 = 4.000

Equation at the end of step 1 :

(y - 6) - 4 • (x + 5) = 0

Step 2 :

Equation at the end of step 2 :

y - 4x - 26 = 0

Step 3 :

Equation of a Straight Line

3.1 Solve y-4x-26 = 0

5 0

3 years ago

Can someone please help me with this problem asap? Thanks!! :))

ivolga24 [154]

Answer: $\$4.34$

Step-by-step explanation:

We have the following information:

Fredburguer $F$ , milkshake $M$ and an order of fries $f$ costs $\$3.72$ :

$F+M+f=\$3.72$ (1)

One Fredburguer is equal to a milkshake plus orders of fries:

$F=M+2f$ (2)

Three milshakes is equal to a Fredburguer plus an order of fries:

$3M=F+f$ (3)

And we are asked: If we have a Fredburguer, a milkshake and two orders of fries, how much do we have to pay?

$F+M+2f=x$ (4)

Well with the first three equations we have a system of equations to solve. Let's begin by isolating $F$ from (3):

$F=3M-f$ (5)

Making (2)=(5):

$M+2f=3M-f$ (6)

Isolating $f$ :

$f=\frac{2}{3}M$ (7)

Substituting (7) in (2):

$F=M+2(\frac{2}{3}M)$ (8)

Isolating $F$ :

$F=\frac{7}{3}M$ (9)

Substituting (7) and (9) in (1):

$\frac{7}{3}M+M+\frac{2}{3}M=\$3.72$ (10)

Isolating $M$ :

$M=\$0.93$ (11) This is the cost of a Milkshake

Substituting (11) in (7):

$f=\frac{2}{3}\$0.93$ (12)

$f=\$0.62$ (13) This is the cost of an order of frieds

Substituting (11) in (9):

$F=\frac{7}{3}\$0.93$ (14)

$F=\$2.17$ (15) This is the cost of a Fredburguer

Substituting (11), (13) and (15) in (4):

$\$2.17+\$0.93+2(\$0.62)=x$ (16)

Finally:

$x=\$4.34$ This is the cost of a Fredburguer, a milkshake and two orders of fries

8 0

3 years ago

On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. Th

weqwewe [10]

Answer:

$\huge\boxed{BD = 12\ units}$

Step-by-step explanation:

If AB = 5 , then AE = 5 [Radii of the same circle]

So,

AC = AE + EC

AC = 8+5

AC = 13 units

Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

$c^2=a^2+b^2$

Where c = AC , a = BD and b = AB

$13^2 = BD^2+5^2$

169 = BD² + 25

Subtracting 25 to both sides

169 - 25 = BD²

BD² = 144

Taking square root on both sides

BD = 12 units

5 0

3 years ago