Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = 
x = 7
Therefore, by solving the equation value of x will be 7.
Answer:
A, B, and E.
Step-by-step explanation:
A. 5^x * 5^x
= 5^x+x
=5^(2)(x)
=25^x
B. 5^2x
=5^(2)(x)
=25^x
C. 5*5^2x
=5^1+2x
D. 5*5^x
=5^1+x
E. (5*5)^x
=5^x*5^x
=5^(2)(x)
=25^x
F. 5^2*5^x
=5^2+x
Answer:
(2x-1)(2x+1)(x^2+2) = 0
Step-by-step explanation:
Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.
Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.
Then the roots are:
-7 plus or minus √81
p= --------------------------------
8
p = 2/8 = 1/4 and p = -16/8 = -2.
Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.
If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.
Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.
Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.
PEMDAS is very helpful. Without pemdas, people solve equations differently. For example, 2 + 3 * 2. Using pemdas, we knoow 2 + 3 * 2 = 8
However, without pemdas, someone could do 2 + 3, which is 5, then *2. Which would get 10.
PEMDAS is important to keep order.
When we try to solve for f(-2), we are trying to find the range of the point that has a domain of -2. On the graph, when x equals -2, f(x) equals 2. The blank is 2.
