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Yanka [14]
3 years ago
15

How many, and what type of, solutions does y=5x^2−10x−12 have? 2 rational solutions 1 rational solution 2 irrational solutions 2

nonreal solutions
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0

Answer:2 nonreal solutions

Step-by-step explanation:

yulyashka [42]3 years ago
6 0

Answer:

2 irrational solutions

Step-by-step explanation:

y = 5x² - 10x - 12

B² - 4AC

(-10)² - 4(5)(-12)

100 + 240

340 > 0

So two distinct real roots.

Since sqrt(340) is not rational, the roots are also irrational

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5x-(x+1)=5-2x<br>aolve each equation ​
KatRina [158]

Answer:

x = 1

Step-by-step explanation:

When there is a "-" (minus) sign in front of parenthesis, we distribute the sign inside. Let's do this with "-(x+1)". So we will have:

5x-(x+1)=5-2x\\5x-x-1=5-2x

Now, we follow rules of algebra. We take variables to one side and numbers to another side (remember to change signs with changing sides). Shown below:

5x-x-1=5-2x\\5x-x+2x=5+1

Now, we add like terms in left side. Such as:

ax + bx = (a+b)x

Thus, we have:

5x-x+2x=5+1\\6x=5+1

Now, we add right side and divide and get a value for x:

6x=5+1\\6x=6\\x=\frac{6}{6}\\x=1

The value of x is 1

7 0
3 years ago
1.) The island shown has a population of 12,175 people. Find the population
miv72 [106K]

Answer:

Population density = 148.22\ \text{people per square kilometer}

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

H^2=B^2+P^2

H is Hypotenuse, B is base and P is perpendicular

B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km

Area of triangle is given by :

A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2

\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}

Hence, the population density is 148.22\ \text{people per square kilometer}.

7 0
3 years ago
What is the area? Pls help! Will give brainliest if possible!
dsp73

Answer:

9 1/3

Step-by-step explanation:

2 x 4 = 8  

1/3 + 1/3+ 1/3+ 1/3= 1 1/3 + 8 = 9 1/3

Hope this helps

3 0
2 years ago
Read 2 more answers
What is the value of f(−1) when f(x)=2x+2
mart [117]

Answer:

<h2>f( - 1) = 0</h2>

Step-by-step explanation:

f(x)=2x+2

To find f(−1) , substitute the values of x that's - 1 into f(x). That is for every x in f(x) replace it with - 1

That's

f( - 1) = 2( - 1) + 2 \\  =  - 2 + 2

We have the final answer as

f( - 1) = 0

Hope this helps you

7 0
3 years ago
A is the midpoint of BC. <br> BA = 3x+8 <br> AC=23. <br> solve for x
AnnyKZ [126]

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

7 0
3 years ago
Read 2 more answers
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