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Snezhnost [94]
3 years ago
8

What are the solutions of the following system? -2x^2 + y=-5 y=-3x^2+5

Mathematics
2 answers:
Ray Of Light [21]3 years ago
8 0

Answer:

c

Step-by-step explanation:

Doss [256]3 years ago
5 0
\begin{cases}-2x^2+y=-5\\y=-3x^2+5\end{cases}\\\\\\
-2x^2+(-3x^2+5)=-5\\\\
-2x^2-3x^2+5=-5\quad|-5\\\\-5x^2=-10\quad|:(-5)\\\\x^2=2\\\\
\boxed{x=-\sqrt{2}\qquad\vee\qquad x=\sqrt{2}}\\\\\\
y=-3x^2+5\qquad\vee\qquad y=-3x^2+5\\\\
y=-3(-\sqrt{2})^2+5\qquad\vee\qquad y=-3(\sqrt{2})^2+5\\\\
y=-3\cdot2+5\qquad\vee\qquad y=-3\cdot 2+5\\\\
y=-6+5\qquad\vee\qquad y=-6+5\\\\
\boxed{y=-1\qquad\vee\qquad y=-1}\\\\\\
\begin{cases}x=-\sqrt{2}\\y=-1\end{cases}\qquad\vee\qquad\begin{cases}x=\sqrt{2}\\y=-1\end{cases}

Answer C.
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Write the equation given the point 4,2 and slope 1/2
raketka [301]

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

m=\displaystyle\frac{1}{2}

x₁=4

Plug in the values:

\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute \displaystyle\frac{1}{2}:

\mathrm{y-2=\displaystyle\frac{1}{2} x-2}

Add 2 to both sides:

\mathrm{y=\displaystyle\frac{1}{2} x-2+2}

Simplify:

\mathrm{y=\displaystyle\frac{1}{2} x}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

3 0
2 years ago
Read 2 more answers
3. Represents the sets with a Venn diagram: U = {1,2,3,4,5,6,7,8,9, 10, 11, 12} A = {1,2,3,4,6, 12} B = {1,2,4,8}
damaskus [11]

Answer:

See explanation and picture attached

Step-by-step explanation:

A set can be described by<em> listing all of its elements</em>.  

For example, A = { 2, 4, 6, 8}, which we read as  

“A is the set whose elements are 2, 4, 6 and 8”.  

The four elements of the set are separated by commas, and the list is enclosed between curly brackets.  

A <em>set can also be described by writing a description of its elements</em> between curly brackets.  

Thus the set A above can also be written as  

A = { even natural numbers less than 9 }, which we read as  

“A is the set of even natural numbers less than 9”.  

A set can also be described graphically by using Venn diagrams, which are simply circle shaped drawings showing the elements inside.

In our case U={1,2,3,4,5,6,7,8,9,10,11,12} A={1,2,3,4,6,12} B={1,2,4,8}

See picture attached for the answer.

8 0
3 years ago
Plants A birch tree grew 2.5 inches in five months. A bean plant grew 8 inches in 10 months. It rosebush grew 5 inches in eight
e-lub [12.9K]
Birch:
2.5in/5mo=.5in/mo
Bean:
8in/10mo=.8in/mo
Rosebush:
5in/8mo=.625in/mo

Bean
3 0
3 years ago
Read 2 more answers
Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probab
ArbitrLikvidat [17]

Answer:

0.6048

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 105

Standard deviation (sd) = 20

Find the probability that a randomly selected adult has an IQ between 88 and 122 .

Z = (x - m) / sd

For IQ score of 88:

Z = (88 - 105) / 20

Z = (-17) / 20

Z = - 0.85

For IQ score of 122:

Z = (122 - 105) / 20

Z = (17) / 20

Z = 0.85

P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)

P(-0.85<Z<0.85) = (0.8023 - 0.1977)

P(-0.85<Z<0.85) = 0.6048

4 0
4 years ago
HELPPPP PLEASEEEEEEE
Bezzdna [24]
30043——————3.0043 x 10^4
30.043—————— 3.0043 x10^1
0.0030043—————-3.0043 x 10^-3
0.30043—————-3.0043 x 10^-1
3.0043————-3.0043 x 10^0

Hope this helps please mark brainiest
8 0
3 years ago
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