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2 years ago

REAL ANSWERS ONLY!! 30 POINTS!

Mathematics

1 answer:

agasfer [191]2 years ago

4 0

Answer:

For the first one just multiply all of the three numbers

and the second is the same, just multiply and you'll get your answer.

Step-by-step explanation:

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

6 0

2 years ago

Read 2 more answers

Plz help ASAP!! Explain your answer! I will mark at brainliest!!! And don’t copy anybody else’s answer

Klio2033 [76]

Answer:

No, it is not a square

Step-by-step explanation:

If one wall is 19", that would mean the wall perpendicular to this wall is also 19" (in fact all of the walls would be 19"!) If this was a square, then the diagonal we draw at 20.62" would serve as the hypotenuse of a right triangle. One wall would serve as a leg, and another wall as another leg. If this is a square, then the Pythagorean's Theorem would be satisfied when we plug in the 2 wall measures for a and b, and the diagonal for c:

$19^2+19^2=20.62^2$

We need to see if this is a true statement. If the left side equals the right side, then the 2 legs of the right triangle are the same length, and the room, then is a square.

361 + 361 = 425.1844

Is this true? Does 722 = 425.1844? Definitely not. That means that the room is not a square.

8 0

2 years ago

Total mass vs. numbers of cd and numbers of cd

Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

x = number of CDs
y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0

3 years ago

Point H is between G and I. If HG = 8x + 7, HI = 3x - 2, and GI = 38, what would be the length of GH ?

AVprozaik [17]

Answer:

let's see what to do...

Step-by-step explanation:

H is between G and I.

G I = G H + H I

38 = 8 x + 7 + 3x - 2

38 = 11 x + 5

subtract the sides of equation minus 5

38 - 5 = 11 x + 5 - 5

33 = 11 x

divided the sides of equation by 11

33 ÷ 11 = 11 x ÷ 11

3 = x

So the lenght of (G H) is :

8 x + 7 -----¢ 8 (3) + 7 = 24 + 7 = 31

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

8 0

2 years ago

3x+10y=13 4(-2y+x)-9x=13

mart [117]

Answer:

$x=-9$

$y=4$

Step-by-step explanation:

$3x+10y=13$ ← Equation 1

$4(-2y+x)-9x=13\\$

By simplifying the above equation we get,

$-8y+=4x-9x=13$ (Simplifying the brackets)

$-8y-5x=13$ (By subtracting $-9x$ from $+4x$ ) ← Equation 2

Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.

Equation 1 multiplied by 5 will give,

$15x+50y=65$

Equation 2 multiplied by 3 will give,

$-24y-15x=39$

Add those together,

$15x+50y-24y-15x=65+39$

$26y=104$ (After simplifying $x$ values)

Therefor $y=4$

By substituting $y=4$ to Equation 1 we get,

$3x+10*4=13$ $3x+40=13\\3x=-27\\x=-9$

Therefor we can say,

$x=-9$

$y=4$

8 0

3 years ago