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Ksivusya [100]
3 years ago
8

How many student preferred cartoons?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0
The answer is C) 56.
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How many times does the graph of 4x = 32 - x2 cross the x-axis?<br><br> 0<br><br> 1<br><br> 2
Yakvenalex [24]

Answer:

2

Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

Rewrite 4x = 32 - x^2 in the standard form of a quadratic:  x^2 + 4x - 32

Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.

Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."

4 0
4 years ago
Read 2 more answers
A car is traveling at a speed of 25 meters per second what is the cars speed in kilometers per hour how many kilometers will the
Likurg_2 [28]

Answer:

  • 90 km/h
  • 180 km

Step-by-step explanation:

There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...

  \dfrac{25\,m}{s}\cdot\dfrac{1\,km}{1000\,m}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{90\,km}{h}

The car's speed is 90 km/h.

__

In 2 hours, the car will travel ...

  distance = speed · time = (90 km/h)(2 h) = 180 km

7 0
3 years ago
Can someone please help me on this?
Dmitry_Shevchenko [17]

Answer:

In the Pythagorean theorem the two shortest sides must always be substituted for the side legs, not the hypotenuse

Step-by-step explanation:

Have a blessed day

God loves you

6 0
3 years ago
Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
STALIN [3.7K]

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

y = 1/2x + b  [Parallel lines have the same slope but different y-intercepts]

-2 = (1/2)(-5) + b  [Plug in the coordinates (-5,-2) to find the y-intercept b]

b = 1/2  [Solve for b]

y = 1/2x + 1/2

3 0
3 years ago
Read 2 more answers
I had $20.00. My Mom gave me $10.00. My Dad gave me $30.00. My Aunt and Uncle gave me $100.00. I had another $1.00 How much did
Ainat [17]

Answer:

161 dollars

Step-by-step explanation:

What we know:

1. beginning value = 20 dollars

2. +10 dollars from mom

3. +30 dollars from dad

4. +100 dollars from aunt and uncle

5. +1 dollar

Add the values

20+10+30+100+1

= 161 dollars

I hope this helps!

5 0
3 years ago
Read 2 more answers
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