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vovangra [49]
2 years ago
10

Solve the following system of equations and show all work. (10 points)

Mathematics
1 answer:
love history [14]2 years ago
5 0
Y=2×2
y=4

4=-3x-1
now add 3x on both sides
3x+4= -1
now substract 4 on both sides
3x = -5
divide 3 on both side
x=-5/3

y= 4
x= -5/3
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Help me please i don't know what to do
astra-53 [7]

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

(x-7)(x+2) = 0

FOIL:

x^2 + 2x - 7x - 14 = 0

Simplify:

x^2 - 5x - 14 = 0

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

(x-3)^2=0

FOIL:

x^2 - 3x - 3x +9 = 0

Simplify:

x^2 - 6x + 9 = 0

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

-x^2-x-3=0

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

(x+1)(x-1)=0

This is a perfect square

FOIL:

x^2-1=0

a = 1, b = 0, c = -1

e. x-int at \sqrt{3} , -\sqrt{3}

our equation will factor to:

(x+\sqrt{3} )(x-\sqrt{3)} =0

This is also a perfect square

FOIL and you will get:

x^2 - 3 = 0

a = 1, b = 0, c = -3

4 0
1 year ago
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and
Nataly [62]
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold

Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

1194 bleacher tickets were sold.
6 0
3 years ago
Teresa drove on monday tuesday and Wednesday. On monday her driving distance was 120 miles. The ratio of Wednesdays distance is
SSSSS [86.1K]

Answer:

Teresa drive <u>90 miles</u> on Tuesday.

Step-by-step explanation:

Given:

Teresa drove on Monday, Tuesday and Wednesday.

On monday her driving distance was 120 miles.

The ratio of Wednesdays distance is 3/5.

The ratio of Wednesdays distance to Tuesday's distance is 5/4.

Now, to find the miles Teresa drive on Tuesday:

Teresa driving distance on Monday was = 120 miles.

Her driving distance on Wednesday is = \frac{3}{5}\ of\ 120.

=\frac{3}{5} \times 120\\\\=0.6\times 120\\\\=72\ miles.

Now, her driving distance on Tuesday is:

\frac{5}{4} \ of\ 72\\\\=\frac{5}{4} \times 72\\\\=1.25\times 72\\\\=90\ miles.

Therefore, Teresa drive 90 miles on Tuesday.

7 0
3 years ago
Probability can be calculated using the formula
AveGali [126]
It really depends on the situation as probability depends on logic more than simple mathematical equations. However you must keep in mind a few principles:
1- P = number of possible outcomes of the event / total outcomes
2- P always less than or equal to 1.
3- For independent events A and B to occur simultaneously, P= P(A) x P(B)

You can send me the question you’re stuck at for further help.
6 0
3 years ago
14. What is the rate if the distance traveled is 360 miles for 6 hours?
Mekhanik [1.2K]

Answer:

60

Step-by-step explanation:

360/6=60

8 0
3 years ago
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