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8090 [49]
3 years ago
15

Model the expression -3 3/4 + 1/2 on a number line

Mathematics
2 answers:
Zinaida [17]3 years ago
5 0
It would be 4 because I really don’t know
KiRa [710]3 years ago
4 0

Answer:

Step-by-step explanation:

One way in which to tackle this would be to convert that '1/2' to '2/4.'  Then we have the expression:

-3  3/4 + 2/4

Combining these two numbers yields -3  1/4.  x = -3  1/4 is to be plotted on the number line.

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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
3 years ago
If you know the distance (d) an object has moved from a reference point and the time (t) it took to move that distance, you can
love history [14]

Answer:

The answer is B.) s=d/t

Step-by-step explanation:


7 0
4 years ago
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate
UNO [17]

Answer:

D. 2*10^{27} kg

Step-by-step explanation:

Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg

Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")

To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.

We have 27 zeros there.

Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.

An estimate of the mass of Jupiter = 2*10^{27} kg

6 0
3 years ago
If x + 2y = 15, what is the value of 3x + 6y/5
RideAnS [48]

Answer:

I <em>think</em><em> </em><em>9</em><em> </em><em>is</em><em> the</em><em> best</em><em> answer</em>

3 0
3 years ago
Read 2 more answers
A circle has a diameter of 26 feet. Find its circumference and area.
iogann1982 [59]

Answer: 81.64 feet

Step-by-step explanation:

Circumference of a circle = pi * diameter

Circumference of a circle = 3.14 * 26 feet

Circumference of a circle = 81.64 feet

5 0
2 years ago
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