Use the substitution method
Answers :
g(x)= -3x+1
a. g(10)= -3(10)+1
Mutiply first = -30
-30+1= -29
<em>g(10)= -29</em>
b. g(-2)= -3(-2)+1
Negative sign and negative sign = positive sign
-3(-2)= 6
6+1= 7
<em>g(-2)= 7</em>
a.
f(x)=x^2+7
f(3)= 3^ 2+7
3*3 because of the exponent. 3*3= 9
9+7= 16
<em>f(3)= 16</em>
d.
f(a)= a^2+7
a*a= a^2
a^2+7
<em>f(a)= a^2+7</em>
Step-by-step explanation:
We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!
Answer:
3x3-45÷(4+1) is 0.
Step-by-step explanation:
We have to do order of operations so we follow PEMDAS:
P is for Parentheses so we do what's in parentheses first:
(4+1)=5
E is for Exponents but we don't have exponents.
Next is M and D for Multiplication and Division. We have division before multiplication so we should do division first:
45÷5=9
We now have multiplication:
3x3=9
Now we have A and S for addition and subtraction
We don't have addition so we'll do subtraction:
9-9=0
The final answer is 0.
Hope this helps! :)
<h3>
CloutAnswers</h3>
They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
