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3 years ago

13

See attached photo, please help asap, it is due in 30 minutes !!!

1 answer:

oksian1 [2.3K]3 years ago

4 0

Answer:

Answer is 3.398

Step-by-step explanation:

Solve by putting into calculator.

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How many solutions does the system have? <br> y=−2x+1 <br> y=−2x^2+1

balu736 [363]

Answer:

The system has two distinct solutions.

Step-by-step explanation:

The given system of equations are:

$y=-2x+1--(1)$

and

$y=-2x^2+1---(2)$

In order to determine the number of solutions the two equations have, we need to equate the two equations to obtain,

$-2x^2+1=-2x+1$

We now group all terms on the left hand side and equate everything to zero.

$-2x^2+2x=0$

$x^2-x=0$

This is now a quadratic equation in $x^2$ with $a=1,b=-1,c=0$ .

At this stage we check the number of solutions using the discriminant.

$D=b^2-4ac$

$\Rightarrow D=(-1)^2-4(1)(0)=1$

Since the discriminant is greater than zero, the equation will have two distinct roots.

Therefore the system of equations has exactly two distinct solutions.

If you wish to see these solutions, you can continue as follows;

We factor $x$ to obtain,

$x(x-1)=0$

$\Rightarrow x=0,x-1=0$

$\Rightarrow x=0,x=1$

When $x=0,y=-2(0)+1$

Then we have,

$x=0,y=1$

When $x=1,y=-2(1)+1$

Then we have,

$x=0,y=-1$

See graph

8 0

3 years ago

(2+7-1)divided by 2 over 2

JulsSmile [24]

8 I don’t know how to explain but the answer is
8

3 0

3 years ago

Read 2 more answers

Need help with number 3 inequalities with variables on both sides

Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

$\displaystyle{2x-3 \leq \dfrac{x}{2}}$

First, get rid of the denominator by multiplying both sides by 2:

$\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}$

Add both sides by 6 then subtract both sides by x:

$\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}$

Then divide both sides by 3:

$\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}$

Therefore, the answer is x ≤ 2

5 0

2 years ago

Read 2 more answers

Help plzzzzzzzzzzzzzz

Lana71 [14]

i think

SAS

:) :) :) :) :) ;) ;)

6 0

2 years ago

Solve for each equation<br> h divided by 4/9 for h = 5 1/3<br><br> A) 2 10/27<br> B) 10<br> C) 12

arsen [322]

<span>Solve for each equation
h divided by 4/9 for h = 5 1/3

h 16/3
------- = -----------------
4/9 4/9
= 16/3 * 9/4
= 12
answer is </span><span>C) 12</span>

6 0

3 years ago