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Iteru [2.4K]
3 years ago
9

Solve for m and b (5,14) and (3,10)​

Mathematics
1 answer:
Elis [28]3 years ago
6 0
Y=mx+b

Y1-Y2/X1-X2

14-10/5-3 = 4/2 = 2


Plug in (3,10):
(10)=2(3)+b

Solve:
10=6+b

B=4
M=2
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Consider the box-and-whisker plot.
dedylja [7]

each part of the box and whisker is 25% (meaning each quartile) There are 4 quartiles so this makes 100%

So, the first being 25% and this is where the below 15 falls.

So, 25%

3 0
3 years ago
A type is typically makes an error on one out of every 21 documents they complete if the typist can complete 120 documents an ho
motikmotik
<span>Answer: 21 document= 1 error 120 document= 1 hour in three and a half hours= 21 mistakes</span>
8 0
3 years ago
What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = \frac{y_2-y_1}{x_2-x_1}

m' = \frac{1+1}{3-0}

m' = \frac{2}{3}

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × \frac{2}{3} = -1

m = -\frac{3}{2}

Equation of the perpendicular line will be,

y=-\frac{3}{2}x+b

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = -\frac{3}{2}(-3)+b

b = -\frac{9}{2}=-4.5

Equation of the line will be,

y=-\frac{3}{2}x-\frac{9}{2}

3 0
3 years ago
Marcos is mixing a solution in science class. He is mixing 3 ounces of food coloring with every 8 ounces of water. If he wants a
jonny [76]

Answer:

With the 24 ounces of water he would have 9 ounces of food coloring.

Step-by-step explanation:

For ever 8 ounces of water there is 3 ounces of food coloring so if there is 24 ounces of water that mean there is 3 times the original starting amount. So 8x3=24 so there is 24 ounces of the water. Since the8 got multiplied by 3 that means the 3 we haven't used yet will get multiplied by 3 as well so we can find the answer. So 3x3=9. That means we would have 9 ounces of food coloring with the 24 ounces of water.

7 0
3 years ago
Tao Bergolts bank granted him a single-payment loan of $4,400 at an interest rate of 12 percent. The term of the loan is 172 day
jolli1 [7]

Answer: $ 14736 (approx)

Step-by-step explanation:

Since,  Maturity value is the amount payable to an investor at the end of a holding period of debt instrument.

And, It is defined as, V= P(1+r)^n

Where, P is the principal amount,

r is the interest rate

And, n is the time period.

Here, P=  $4,400 r=  12 % and n = 172/365

Thus, Maturity value for this loan,

V = 4400(1+12)^{172/365}

⇒V= 4400 × 3.34908932078 = 14735.9930114 ≈ 14736


6 0
3 years ago
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