4 years ago

Melody is solving the equation x +12=31. Find her mistake and correct it

Mathematics

2 answers:

harkovskaia [24]4 years ago

8 0

Answer:

You need to subtract 31 from 12 to get what x is. Melody added instead of subtracting.

Step-by-step explanation:

kati45 [8]4 years ago

7 0

I just see an equation hmmm could it be the x.

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The equation for a parabola has the form y=????x2+????x+cy=ax2+bx+c, where ????a, ????b, and cc are constants and ????≠0a≠0. Fin

d1i1m1o1n [39]

The equation for this parabola satisfies

$\begin{cases}a-b+c=9\\9a+3b+c=-19\\16a-4b+c=-12\end{cases}$

(in other words, plug in each given point's coordinates $(x,y)$ into the equation $y=ax^2+bx+c$ )

Now,

$(a-b+c)-(9a+3b+c)=9-(-19)\implies-8a-4b=28\implies2a+b=-7$

$(a-b+c)-(16a-4b+c)=9-(-12)\implies-15a+3b=21\implies5a-b=-7$

and

$(2a+b)+(5a-b)=(-7)+(-7)\implies7a=-14\imples a=-2$

$2(-2)+b=-7\implies b=-3$

$(-2)-(-3)+c=9\implies c=8$

So the equation of the parabola is

$y=-2x^2-3x+8$

4 0

4 years ago

Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5.

Rom4ik [11]

given :-

p(t) = 3t^2 - 5t - 7

g(t) = t - 5

=> t = 5

on putting values..

p(5) = 3(5)² + 5(5) - 7

= 3(25) + 25 - 7

= 75 - 18

= 57

hence, the remainder is 57.

D. 57 is the correct option

3 0

3 years ago

How many 1/3 cups are in 1 cup of flour?

kicyunya [14]

Answer:

3 1/3 cups.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

1. find the area of the figure at right. Dimensions are in inches

ioda

Answer:

292 in² (3 s.f.)

Step-by-step explanation:

The figure is made up of 2 semicircles and a rectangle.

Please see attached picture for full solution.

7 0

4 years ago

Find the probability of throwing a sum of 10 at least 9 times in 10 throws of a pair of fair dice.

jekas [21]

So the possible ways of throwing a sum of 10 is 4&6, 5&5, 6&4. All possible ways of throwing a pair of dice equal 36, so divide 3 by 36. Then, divide this number by 9 to get the possibility of it being at least 9 times, because the last throw doesn't affect it.

5 0

4 years ago