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2 years ago

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–4x – 7 = y x2 – 2x – 6 = y Which statement is true? There are no real number solutions. There is one unique real number solutio

n at (–1, –3). There is one unique real number solution at (1, –3). There are two real number solutions at (–1, –3) and (1, –7).

1 answer:

Aleksandr [31]2 years ago

7 0

Answer:

<h3>There is one unique real number solution at (–1, –3)</h3>

Step-by-step explanation:

Given the two linear equation

–4x – 7 = y ...1

x² – 2x – 6 = y ...2

Equating the left hand side of both equations since they are equal to the same variable y will give;

$-4x-7=x^{2} -2x-6\\collecting\ the\ like\ terms\\x^{2} -2x+4x-6+7 = 0\\x^{2} +2x+1 = 0\\x^{2} +x+x+1 = 0\\x(x+1)+1(x+1)=0\\(x+1)^{2}=0\\ taking\ square\ root\ of\ both\ sides\\x+1 = 0\\x = -1\\$

Substituting x=1 into equation 1 we have;

$y=-4(-1)-7\\y=4-7\\y = -3$

This means there is only one unique real number solution at (-1, -3)

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Nastasia [14]

Answer:

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Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

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multiply both sides by 28

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2 years ago

In a group of mherchants, 80% of them purchase goods from Asia, and 25% of them purchase goods from Europe. Which of following s

monitta

Answer:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

Step-by-step explanation:

I am going to say that:

A is the percentage of merchants who purchase goods from Asia.

B is the percentage of merchants who purchase goods from Europe.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a merchant purchases goods from Asia but not from Europe and $A \cap B$ is the probability that a merchant purchases goods from both Asia and Europe.

By the same logic, we have that:

$B = b + (A \cap B)$

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?

We already have B.

Knowing $A \cap B$ , that is, the percentage of those who purchase from both Asia and Europe, we can find b.

So the correct answer is:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

8 0

3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

Burka [1]

Answer:

$x=-0.75$

Step-by-step explanation:

The given equation is

$4^{-5x-7}=6^{2x-1}$

We take logarithm of both sides to base 10.

$\log(4^{-5x-7})=\log(6^{2x-1})$

$(-5x-7)\log(4)=(2x-1)\log(6)$

We expand the brackets to get;

$-5x\log(4)-7\log(4)=2x\log(6)-\log(6)$

Group similar terms;

$-7\log(4)+\log(6)=2x\log(6)+5x\log(4)$

$-7\log(4)+\log(6)=(2\log(6)+5\log(4))x$

$\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x$

$x=-0.752478$

To the nearest hundredth.

$x=-0.75$

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2 years ago

What is the equivalent to 16 to the 3/4 root

pshichka [43]

<span>√<span><span><span>2x−5</span></span><span></span></span></span>=<span>7 3/4
rate if that help </span>

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2 years ago

Find the total surface area of this cuboid

Harman [31]

Step-by-step explanation:

☄ $\underline{ \underline{ \sf{Given}}}:$

Length ( l ) = 4 cm
Width ( w ) = 2 cm
Height ( h ) = 5 cm

☄ $\underline{ \underline{ \sf{To \: find}}} :$

Total surface area of a cuboid

❅ $\underline{ \underline{ \text{Solution}}}:$

✑ $\boxed{ \text{TSA = 2lw + 2lh + 2hw}}$

Plug the known values :

⟼ $\sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}$

⟼ $\sf{16 + 40 + 20}$

⟼ $\boxed{\sf{76 \: {cm}}^{2} }$

$\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \: {cm}}^{2} }}}$

Hope I helped !♡

Have a wonderful day / night ! ツ

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2 years ago