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3 years ago

What expression is equivalent to x^2 - 49

Mathematics

1 answer:

Sati [7]3 years ago

7 0

Answer:

(x + 7)(x - 7)

Step-by-step explanation:

We need to factor [ x² - 49 ]

The middle number is 0 and the last number is -49.

Factoring is when we fill in the blanks for [ (x + _)(x + _) ]

We need to know what goes in the blanks, we need to know:

two numbers that add to get 0
two number that multiplied together get -49

We can try 7 and -7.

7 + (-7) = 0

7 * (-7) = -49

This works, so fill in the blanks for the factor.

(x + 7)(x + (-7))

(x + 7)(x - 7)

Best of Luck!

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Which choice shows the image of figure 1 being transformed with a translation of 8 units left followed by a rotation of 180° aro

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

the left picture

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3 years ago

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a

dmitriy555 [2]

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes already. How many more boxes must they sell to raise 180 dollars?

Answer: We are given:

The amount of money Tony's club get for every box they sell $=1 \frac{1}{8} =1.125$ dollar

They amount of money Tony's club has raised by selling 75 boxes is:

$75 \times 1.125=84.375$ dollars

The amount of money Tony's club is required to raise = 180 dollars

The remaining need to be raised is :

$180-84.375=95.625$ dollars

Therefore, the number of more boxes to be sold are:

$\frac{95.625}{1.125}=85$

Hence, 85 more boxes they must sell to raise 180 dollars

8 0

3 years ago

(6x+3) (4x-5) (simp) I try to do this one and got the answer 24x^2-18x-15 but I was told it was wrong

Gemiola [76]

Answer:

(6x+3) (4x-5) = 24x^2 -30x +12x -15 = 24x^2 -18x -15

I get the same answer. I guess we're both wrong?

Or do they want it reduced to:

8x^2 -6x -5

Step-by-step explanation:

8 0

3 years ago

I NEED HELP NEOW!!! PLZZ ill GIVE U A DOLLAR

mash [69]

Answer:

he keep 36$

Step-by-step explanation:

2/5 is 40% plus the 50% thats 90% so he only keep 10% which is 36$

8 0

3 years ago

Read 2 more answers

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio

lina2011 [118]

Answer:

The point of intersection is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

$y=0.5x+5$

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

$(x-0)^2+(y-5)^2=(3)^2$

Simplify:

$x^2+(y-5)^2=9$

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

$x^2+((0.5x+5)-5)^2=9$

Simplify:

$x^2+(0.5x)^2=9$

Square:

$x^2+0.25x^2=9$

Combine like terms:

$\displaystyle 1.25x^2=\frac{5}{4}x^2=9$

Solve for x:

$\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}$

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

$\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34$

So, the point of intersection in QI is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

6 0

3 years ago