All categories

2 years ago

Solve the equation. (x-5)(x+3)=0

Mathematics

2 answers:

LuckyWell [14K]2 years ago

8 0

(x-5)(x+3)=0
x^2+3x-5x-15=0
(x^2+3x) (-5x-15)
x(x+3) -5(x+3)
x-5=0 x+3=0
x=5 OR -3

hammer [34]2 years ago

5 0

Answer:

The solutions to the equation are x=5 x=-3

Step-by-step explanation:

(x-5)(x+3)=0

Since this is already factored, we can use the zero product property to determine the roots

x-5 =0 x+3 =0

x-5+5= 0+5 x+3-3 = 0-3

x =5 x=-3

The solutions to the equation are x=5 x=-3

You might be interested in

Seventeen is three times the difference between four times a number and five

expeople1 [14]

17 = 3(4x - 5)

Distributive property.

17 = 12x - 15

Add 15 to both sides.

32 = 12x

Divide both sides by 12.

x = 2.67. (This is your answer.)

Let me know if you have any questions.

4 0

2 years ago

Plz help quick i will mark u brainiest its about transishons

saveliy_v [14]

Answer:

(x,y) --> (x+4, y-5)

Step-by-step explanation:

A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)

6 0

2 years ago

Given the parent function f(x) = 2^x, which graph shows f(x) + 1?

mixer [17]

Answer: First Option

a) exponential function going through point (0, 2) and ending up on the right

Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

$f(x) = 2^x$

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation $y = f(x) +1$ then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)

The transform function is $y =2^x +1$

Finally the answer is the first option

4 0

2 years ago

Find the length of the missing side. The triangle is not drawn to scale.

suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

$a^2+15^2=17^2$