Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
A.) f(x) = x^2 because 2 > 1. So f(2) = 4.
A is correct.
B.) f(x) = x^2 because 5 > 1. So f(5) = 25.
B is incorrect.
C.) f(x) = 2x because -2 < 1. So f(-2) = -4.
C is incorrect.
D.) f(x) = 5 because x = 1.
D is correct.
So the answer is A and D.
Answer:
The numbers are 18 and 91
Step-by-step explanation:
You can translate the information to two equations:
<em>a value 5 times a smaller number is 1 less than a larger number</em>
5a = b - 1
<em>their difference is 73</em>
b - a = 73
Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:
b = 5a + 1
Now I can write 5a+1 in the second equation at the place where b was:
5a + 1 - a = 73
It is now an equation with only one variable, solve by simplifying
4a = 72
a = 18
Now b can be found using b = 5a + 1
b = 91
Answer: BRAINLY
f(x)=x-4 is the answer i believe
Answer :
The function is
Step-by-step explanation:
Given values in table :
x f(x)
3 -1
4 0
5 1
6 2
Here we see there is a difference of 4 in the values of x and f(x)
i.e. 3-(-1)=4
or 4-0=4
Similarly 5-1=4
6-2=4
So x-F(x)=4
Adding F(x) -4 both sides
x-F(x) +F(x) -4=4+F(x) -4
We have F(x)= x-4
Step-by-step explanation:
i cant find the answer
Given:
To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B
Subtract 24° on both sides.
Subtract 6x from both sides.
Divide by 4 on both sides.
The value of x is 12°.
The measure of ∠A is 144°.
