Answer:
x=6
Step-by-step explanation:
Basically since 6x and 2x have like terms you subtract the 2x from 6x.
6x-2x=4x
Then you divide 4 from 24.
4x=24
4x/4 = 24/4
x=6
Answer:
Therefore, we get that the volume of the solid is V=8/3 · 17^{3/2}.
Step-by-step explanation:
From exercise we have that
0 ≤ x ≤ 17
y = -2 √x and y = 2 √x.
We calculate the volume of the solid, we get:
\int\limits^17_0 \int\limits^{2 √x}_{-2 √x} {1} \, dy \, dx=
=\int\limits^17_0 [y]\limits^{2 √x}_{-2 √x} \, dx
=\int\limits^17_0 {(2 √x+2 √x)} \, dx
=4\int\limits^17_0 {√x} \, dx
=4 · 2/3 [x]\limits^17_0
=8/3 · 17^{3/2}
Therefore, we get that the volume of the solid is V=8/3 · 17^{3/2}.
Answer:
1,050
Step-by-step explanation:
p=1000
R=2.5%
T=2 years
S.I=?
S.I=PRT÷100
S.I=$50
T.T Amount =P+S.I
Amount=$1,050
Answer:
y = x² + 2x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 1, 4), thus
y = a(x + 1)² + 4
To find a substitute (0, 5) a point on the graph into the equation
5 = a(0 + 1)² + 4
5 = a + 4 ( subtract 4 from both sides )
a = 1, thus
y = (x + 1)² + 4 ← expand and simplify
= x² + 2x + 1 + 4
= x² + 2x + 5
