Answer:
Step-by-step explanation:
(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]
To remove the parenthesis, take - inside, multiply f(x) by -1
= 9x³ - 4x² + 10x - 55 - 4x³ - 3x² + 5x - 20
Now, bring like terms together,
= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20
= 5x³ - 7x² + 15x - 75
Answer:
gradient is 5
Step-by-step explanation:
x intercept, replace y with 0
y +5x= 13
0+ 5x =13
0 - 13= -5x
-13= -5x
-13/-5 = -5x/-5
x = 13/5
y intercept, replace x with 0
y+5x=13
y+5(0)=13
y+0=13
y =13
Answer:
x=7
Step-by-step explanation:
x-1
3x-5
______
4x-6
4x-6= 7x-27
-4x -4x
___________
-6= 3x-27
+27 +27
____________
21= 3x
divide both 21 and 3x by 3
= 
7 = x
x=7
Answer:
Step-by-step explanation:
<u>Step 1:</u>
<em>Equation should be:</em>
<u>Step 2:</u>
<em>Equation should be:</em>
<u>Step 3:</u>
- Factoring

- The first term is
. It's coefficient is 3. - The middle term is +18x, it's coefficient is 18.
- The last term, "the constant", is -13.
<em>Step 1</em>:
- Multiply the coefficient of the first term by the constant 3 * -13 = -39
<em>Step 2:</em>
- Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 .
- -39 + 1 = -38
- -13 + 3 = -10
- -3 + 13 = 10
- -1 + 39 = 38
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
<u>Solution:</u>
- <u />
.
Answer:
Total surface area is 630cm
Step-by-step explanation:
Surface area = (Perimeter of the base × Length) + (2 × Base Area) = (S1 +S2 + S3)L + bh