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yaroslaw [1]
2 years ago
15

Which are the solutions of x2 = –13x – 4? 0, 13 0, –13

Mathematics
2 answers:
MrRissso [65]2 years ago
8 0

Answer:

Option 3 and 4 - 0,-13

Step-by-step explanation:

Given : Expression x^2=-13x-4

To find : What are the solutions?

Solution :

The quadratic formula of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Comparing with general equation, x^2+13x+4=0

where, a=1 ,b=13, c=4

Substitute in the formula,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}

x=\frac{-13\pm\sqrt{169-16}}{2}

x=\frac{-13\pm\sqrt{153}}{2}

x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}

The value of x is x=-0.315,-12.68

Approximately the solution of the expression is x=0,-13.

masha68 [24]2 years ago
3 0
It's defiantly not C. I made a 90%  but missed this question. I hope this helps you cross it down.  My next guess would be D.

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1 year ago
In Speed Study Number 1, we looked at two cars traveling the same distance at different speeds on city streets. Car "A" traveled
MAVERICK [17]

Answer:

b-about 5 minutes

Step-by-step explanation:

For an object in uniform circular motion (=moving at constant velocity), the time taken to cover a certain distance is given by:

t=\frac{d}{v}

where

d is the distance covered

v is the speed of the object

In this problem we have:

d = 10 miles is the distance covered by both cars

Car A travels at a speed of

v_A=35 mi/h

So the time it takes is

t=\frac{10}{35}=0.286 h \cdot 60 \frac{min}{h}= 17.2 min

Car B travels at a speed of

v_B=45 mi/h

So the time it takes is

t'=\frac{d}{v_B}=\frac{10}{45}=0.222 h \cdot 60 \frac{min}{h}=13.3 min

So the difference in time is

\Delta t = t-t'=17.2 min - 13.3 min \sim 4 min

So, the closest answer is

b-about 5 minutes

8 0
1 year ago
The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph?
iren2701 [21]

Answer:

I

Step-by-step explanation:

graph is not provided

8 0
2 years ago
A coin jar contains 12 quarters, 15 dimes, and 23 nickels. find the probability that a karen will choose a dime from the jar and
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Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain d
goldenfox [79]

Answer:

                           Drug User   Not a drug user    Totals

Test positive       475                     475                  950

Test negative      25                      9025               9050

Totals                   500                   9500               10,000

Step-by-step explanation:

                           Drug User   Not a drug user    Totals

Test positive       475                     475                  950

Test negative      25                      9025               9050

Totals                   500                   9500               10,000

As we know that 5% of all people are drug users

Total drug users=5% of 10,000=0.05(10,000)=500

Total non drug users= Total people - drug users= 10,000-500=9500

or total non drug users=95% of 10,000=0.95(10,000)=9500

Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

Test positive for drug user= 95% of 500=0.95(500)=475

Test negative for non drug user= 95% of 500 = 0.95(9500)=9025

Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

Test negative for drug user= 5% of 500=0.05(500)=25

Test positive for non drug user= 5% of 9500 = 0.05(9500)=475

4 0
1 year ago
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