Answer:
3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)
--------------------------
(x + 1)(ax² + bx + c)
= ax³ + bx² + cx + ax² + bx + c
= ax³ + (a + b)x² + (b + c)x + c
--------------------------
ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d
=> a = 3
a + b = -14
b + c = -7
c = d
=> a = 3, b = -17, c = 10, d = 10
an even function has symmetry about the x axis
this means that if you fold the graph over the y axis, the function will map over itself
in number terms, if f(x) is an even function, then f(x)=f(-x)
an example is f(x)=x²
an odd function has symmetry about the origin
it is kinda confusing, but if g(x) is an odd function, g(-x)=-g(x)
an example is g(x)=x³
the first one (f(x)) seems to be neither
h(x) one, notice for x=2 and -2, the values are negative of each other, this tells us that it's an odd function
g(x), replacing x with -x gives us -|-2x|+3=-|2x|+3, same function, even function
Prove: x = 28
Statements
Reasons
1. m ZELG = 124
1. given
2. m ZELD = 2x
2. given
H
L
3. ZELG and ZELD are
a linear pair
3. definition of a linear pair
(2x)
G
4. m ZELD + m ZELG = 180
4.
Ε
• F.
5. 2x + 124 = 180
5. substitution
Complete the steps in the two-column proof.
6.
6. subtraction property
7. x = 28
7. division property
Intro
Done
vity
The corresponding angles of the lines solved and the value of x = 28°
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Given data ,
Let the measure of ∠ELG = 124°
The measure of ∠ELD = 2x
∠ELG and ∠ELD are a linear pairs of angles
So , the measure of ∠ELG + ∠ELD = 180°
On simplifying , we get
2x + 124° = 180°
Subtracting 124° on both sides , we get
2x = 56°
Divide by 2 on both sides , we get
x = 28°
Therefore , the value of x is 28°
Hence , the angle is x = 28°
To learn more about angles in parallel lines click :
#SPJ7
Answer:
1. angle addition post
2. 2x=56
Answer:
2
Explanation:
Semiannual means twice a year.
(Ap3x)
Answer:
y 5 horas entre mediterráneo que pasa por Perú
No, all of the digits in 8.88 does not have the same place value.
In the number 8.88, each digit occupies a specific position that determines its place value.
From left to right:
1. The first digit "8" is in the ones place. Its place value is 8.
2. The second digit "8" is in the tenths place. Its place value is 0.8 (or 8/10).
3. The third digit "8" is in the hundredths place. Its place value is 0.08 (or 8/100).
Since all the digits are located after the decimal point, they are decimal digits. Therefore, in the number 8.88, all digits have the different place value as decimals.
Learn more about place value here
#SPJ3
Answer:
No
Step-by-step explanation:
Mitochondria is the powerhouse of the cell
The corresponding point for the function f(x) - 4 is (2, -1)
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
given that (2,3) is on the graph of f(x)
So, for x = 2, f(x) = f(2) = 3
Now, define another function g(x) such that
g(x) = f(x) - 4
g(2) = f(2) - 4
g(2) = 3 - 4 = -1
Hence, corresponding point for the function f(x) - 4 is (2, -1)
To know more about function follow
#SPJ2