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zalisa [80]
3 years ago
9

How many solutions does this system have: ​−8x−y=4 ​−8x−y=9 ​​

Mathematics
1 answer:
valentina_108 [34]3 years ago
6 0
-8x-y=4
-
-8x-y=9
=
0≠9. As a result, this system has no solution. Hope it help!
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Jessica invests​ $250 each quarter in an ordinary annuity with a​ 5% interest rate compounded quarterly. Determine the accumulat
madam [21]

Answer:

Step-by-step explanation:

Usimg formula for calculating compound interest.

A = P(1+r/n)^nt

P is the principal =$250

r is the rate = 5%

t is the time = 25years

n = 1/4(compounded quarterly)

Substituting to get the amount A.

A = 250(1+5/25)^25/4

A = 250(1+0.2)^6.25

A = 250(1.2)^6.25

A = 250(3.125)

A = $781.31

Hence the accumulated amount in​ Jessica's annuity after 25 years is $781.31

4 0
3 years ago
A harris poll found that 35% of people said that they drink a caffeinated beverage to combat midday drowsiness. a recent survey
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No it's not believable.
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4 years ago
Which equation has solution x = -3?
vovangra [49]
<span>If the answer is incorrect , please delete.

Answer is B and D

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8 0
4 years ago
Gina looked at the architectural plan of a room with four walls in which the walls meet each other at right angles. The length o
Lerok [7]

For a better understanding of the solution provided here, please find the diagram attached.

In the diagram, ABCD is the room.

AC is the diagonal whose length is 18.79 inches.

The length of wall AB is 17 inches.

From the given information, we have to determine the length of the BC, which is depicted a x, because for the room to be a square, the length of the wall AB must be equal to the length of the wall BC.

In order to determine the length of the wall BC, or x, we will have to employ the Pythagoras' Theorem here. Thus:

x=\sqrt{(AC)^2-(AB)^2}

x=\sqrt{(18.79)^2-(17)^2}\approx\sqrt{64.06} \approx8

Thus, BC\approx 8 inches

\therefore AB\neq BC and hence, the given room is not a square.

8 0
3 years ago
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

6 0
3 years ago
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