What are the solutions to the equation (x – 2)(x + 5) = 0?
Answers
A product of two (or more) factor can be zero if and only if at least one of the factors is zero.
In other words, you cannot multiply two non-zero real numbers, and have zero as a result.
So, if we want the product of these two factors to be zero, at least one of them has to be zero.
The first factor is zero if
The second factor is zero if
The solutions to the equation are x = 2 and x = -5.
To find the solutions to the equation (x – 2)(x + 5) = 0, you need to set each factor equal to zero and solve for x. When the product of two factors is equal to zero, one or both of the factors must be equal to zero.
Set x - 2 = 0 and solve for x:
x - 2 = 0
x = 2
Set x + 5 = 0 and solve for x:
x + 5 = 0
x = -5
The solutions to the equation are x = 2 and x = -5. When you substitute these values back into the original equation, you get (2 - 2)(2 + 5) = 0 and (-5 - 2)(-5 + 5) = 0, both of which evaluate to 0, confirming that these are indeed the solutions.
To know more about equation:
#SPJ6
Related Questions
Write a unit rate for the situation.1080 miles on 15 gallons
Which of the following identities would be the best option to use to verify the identity below?
Solve the following system of equations using substitution. What is the value of y?2x+3y=105 x+2y=65 I somehow got -1(4/6)x=-5. Can someone provide a clear explanation on how to do this?
Fuel economy estimates for automobiles built one year predicted a mean of 28.2mpg and a standard deviation of 4.8mpg for highway driving. Assume that a Normal model can be applied. Use the 68−95−99.7 Rule to complete parts b) through e). b) In what interval would you expect the central 99.7% of autos to be found. Using the 68-95-99.7 rule, the central l99.7%of autos can be expected to be found in the interval from __- to __ MPG c) what percent of autos should get more than 33mpg Usign the 68-95 rule about __% of autos should get more than 33mpg D) what percent of autos should get between 33 and 37.8mpg E) Describe the gas milage of the best 2.5% of cars a) they get more than 42.6mpg b) they get less than 23.4 mph C) they get more than 33 mpg D) they get more than 37.8 mpg
quarts
gallons
cups
Answers
Answers
Answers
I hope it helps you :)
b. (1, 4)
c. (1, 5)
d. (0, 5)
Answers
y = mx + b
m = 2
and we can solve for b by substituting the given coordinates where the line passes through
3 = 2(-1) + b
b = 5
So, the equation of the line is
y = 2x + 5
Trying the options using the equation, the answer is
d. (0,5)
Answers
It would form a right triangle, in which the shorter leg is 7m and the longer leg is 24m. You're looking for the last side, the hypotenuse. So use the Pythagorean theorem. a^2 + b^2 = c^2 , in which a and b are the legs and c is the hypotenuse.
Therefore, you get 7^2 + 24^2 = c^2.
Which is, 49 + 576 = c^2
Add, 625 = c^2.
Take the square root of 625, which is 25. So, the length of the hypotenuse (last side) is 25m. Add the 7m that is sticking out of the ground, to get 32m.
So we have a right angled triangle, the vertical part is 7m, and the horizontal is 24m.
From Pythagoras' Theorem:
x² = 24² + 7²
x² = 576 + 49
x² = 625
x = √625
x = 25
So the broken part is 25m long.
The length of the flagpole before it was broken = 25 + 7
= 32m.
Really beautiful question.
(
x
)
=
3
x
−
7
and
g
(
x
)
=
3
x
, evaluate
f
(
g
(
−
1
)
)
Answers
Answer: f(g(-1)) = -16
Step-by-step explanation:
First, we need to find g(−1), which means we substitute -1 in place of x in the function g(x):
g(-1) = 3(-1) = -3
Next, we substitute g(-1) into f(x):
f(g(-1)) = f(-3) = 3(-3) - 7 = -16
Therefore, f(g(-1)) = -16.