Answer:
x = -8
x = 8
Step-by-step explanation:
x(18 – x) = 2(9x – 32)
distribute
18x - x² = 18x - 64
Subtract 18x from both sides
-x² = -64
multiply both sides by -1
x² = 64
Take the square root of both sides
x = ± 8
x = -8
x = 8
Find the roots of the parabola: y = x 2 +6
Step-by-step explanation:
Firstly, complete the square to put the equation in vertex form,
y
=
−
(
x
+
3
)
2
+
1
This implies that the vertex, or local maximum (since this is a negative quadratic) is
(
−
3
,
1
)
. This can be plotted.
The quadratic can also be factorised,
y
=
−
(
x
+
2
)
(
x
+
4
)
which tells us that the quadratic has roots of -2 and -4, and crosses the
x
a
ξ
s
at these points.
Finally, we observe that if we plug
x
=
0
into the original equation,
y
=
−
8
, so this is the
y
intercept.
All of this gives us enough information to sketch the curve:
graph{-x^2-6x-8 [-10, 10, -5, 5]}
I need help with 23 and 21 please it’s due today!
Answer:
21 is A and 23 is D
Step-by-step explanation:
Au nombre 34 on soustrait la somme de -2 et de 27
a. Ecris une expression A qui traduit ce calcul.
b. Calcule A detaille chaque etape de ton calcul
I need help please………….
9514 1404 393
Answer:
$409.86
Step-by-step explanation:
The markup multiplies the cost by 1+65% = 1.65. The tax multiplies the marked-up cost by 1+8% = 1.08. Then the final cost of the tent is ...
($230×1.65)×1.08) = $409.86 . . . total cost
m ∠CAD = _____.
what is the correct formula ?
Answer:
2nd option is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.
What is the value of x in the below diagram?
(2 x + 2)
(x + 34)°
Answer:
Step-by-step explanation:
x+34+2x+2=180 degree (being liear pair)
3x+36=180
3x=180-36
x=144/3
x=48
Answer:
x + 34° + 2x + 2° = 180°
3x = 180° - 34° - 2°
3x = 144°|: 3
x = 48°
x + 34° = 82° and 2x + 2° = 50°
If f(1) =4 and f(n) = -4f(n-1) + n then find the value of f(5)
======================================================
Work Shown:
We use the first term to build to the second term.
Plug in n = 2
f(n) = -4f(n-1) + n
f(2) = -4f(2-1) + 2 ..... n replaced with 2
f(2) = -4f(1) + 2
f(2) = -4*4 + 2 ......... f(1) replaced with 4; since f(1) = 4
f(2) = -16 + 2
f(2) = -14
The second term is -14
------------------
Repeat for n = 3
f(n) = -4f(n-1) + n
f(3) = -4f(3-1) + 3 ..... n replaced with 3
f(3) = -4f(2) + 3
f(3) = -4*(-14) + 3 ......... f(2) replaced with -14
f(3) = 56 + 3
f(3) = 59
The third term is 59
------------------
We keep going until we get to f(5)
Plug in n = 4
f(n) = -4f(n-1) + n
f(4) = -4f(4-1) + 4 ..... n replaced with 4
f(4) = -4f(3) + 4
f(4) = -4*(59) + 4 ......... f(3) replaced with 59
f(4) = -236 + 4
f(4) = -232
The fourth term is -232
------------------
Just one more section
Plug in n = 5
f(n) = -4f(n-1) + n
f(5) = -4f(5-1) + 5 ..... n replaced with 4
f(5) = -4f(4) + 5
f(5) = -4*(-232) + 5 ......... f(4) replaced with -232
f(5) = 928 + 5
f(5) = 933
The fifth term is 933
------------------
As you can see, recursive sequences can get tedious for fairly large values of n. We need to compute every term before f(5) to figure it out. So if your teacher needed you to compute something like f(10), then it would get even worse. Sometimes it's possible to find a closed formula for it, but it may be tricky to find.
pls help me solve this
Answer:
See below.
Step-by-step explanation:
1.) False - It contains 6 sig figs, not 2.
2.) False - It goes up to 2 decimal places, not 3.
3.) True
4.) False - It goes up to 1 sig fig, not 4.
Select the correct answer. A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of th...
Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
Answer:
n = 90 - 62
n = 28º
m = 180 - (62 + n + 27)
m = 180 - (62 + 28 + 27)
m = 180 - 117
m = 63º
A 30-gallon container is filled with 8 gallons of gasoline. What fraction of the container is filled with gasoline?
Answer:
4/15
Step-by-step explanation:
8/30 = 4/15
Answer:
8/30 or 4/15
hth :)
Help me please ...........
Answer:
D.
[tex] \sqrt{384} [/tex]
Step-by-step explanation:
[tex] \sqrt{384} [/tex]
[tex] \sqrt{192 \times 2} [/tex]
[tex] \sqrt{96 \times 2 \times 2} [/tex]
[tex]2 \sqrt{48 \times 2} [/tex]
[tex]2 \sqrt{24 \times 2 \times 2} [/tex]
[tex]2 \times 2 \sqrt{12 \times 2} [/tex]
[tex]4 \sqrt{6 \times 2 \times 2} [/tex]
[tex]4 \times 2 \sqrt{6} [/tex]
[tex]8 \sqrt{6} [/tex]
Therefore Option D is correct..!
Solve for xx. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 58 degree as reference angle
using cos rule
cos 58=adjacent/hypotenuse
0.52=3.6/x
x=3.6/0.52
x=6.92
x=6.9
Translation that is two units to the right and 90 units down
OPTION C
(x,y) ------> (x-2, y+9)
Answer:
I think option C is the answer
A dealer buys a wrist watch for $225 and spends $15 on its repairs. If he
sells the same for $300. find his profit percentage.
Answer:
he earns a 18 percent increase
In 14b, is 14 the variable, coefficient, term, or product?
Answer:
Pretty sure its coefficient
Step-by-step explanation:
Please answer with work explanation (if possible)
Answer:
$357.42
Step-by-step explanation:
So first I multiplied $425.50 by 20%.
$425.50 * 0.20= 85.10
$425.50- 85.10= $340.40
$340.40 * 0.05 = $17.02
$340.40 * 0.07 = $23.828
$340.40 + 23.828 + 17.02= $ 357.42
The sale price of Dean's guitar is $357.42.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
I need help with this one
Answer:
9
Step-by-step explanation:
394,717.330 rounds to 400,000
Adam has three pennies, two dimes, and one nickel. he also has one other coin that is different from the rest of his coins. how much could he have?
Answer:
Step 1. Read the problem. Make sure you understand all the words and ideas.
Step 2. Identify what you are looking for.
Step 3. Name what you are looking for.
Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.
Step 5. Solve the equation using good algebra techniques.
Step 6. Check.
Step 7. Answer the question.
Step-by-step explanation:
1⁄4 × 2⁄9 = ..........
Answer:
[tex] \frac{1}{18} [/tex]
Step-by-step explanation:
[tex] \frac{1}{4} \times \ \frac{2}{9} \\ \frac{1}{18} [/tex]
Thomas buys tickets for his family to see a movie.
He pays $37.50 for 2 adult tickets and 1 student ticket.
The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets.
What system of equations can be used to find the price of an adult ticket, a, and the price of a student ticket, s ?
Answer:
37.5=2A+S, 35.25=1A+3S (You may have to rearrange it depending on directions)
Step-by-step explanation:
Okay, so we lets write that
Adult=A
Student=S
37.5=2A+S
35.25=1A+3S
This is as far as my brain power goes, so hopefully it helps you!
Heart it if I was good!
Complete these ordered pairs for this equation.
(0, ), (-1,), (1, ) y=2x+1
Help
Answer:
(0, 1)
(-1, -1)
(1,3)
Step-by-step explanation:
Given the function;
y = 2x + 1
when x = 0
y = 2(0)+1
y = 1
Hence the required pair is (0, 1)
when x = -1
y = 2(-1) + 1
y = -2 + 1
y = -1
Hence the coordinate is (-1, -1)
when x = 1
y = 2(1) + 1
y = 2 + 1
y =3
Hence the coordinate is (1, 3)
need help with math ;-;
What is the distance between -7 and 3?
A)4
B)-4
C)9
D)10
Answer:
10.
Step-by-step explanation:
To find the distance between two numbers, subtract the two numbers. The absolute value of the difference is the distance.
[tex](-7)-3=(-10).[/tex]
The absolute value of -10 is 10.
Therefore, distance between -7 and 3 is 10.
Answer:
10 of course!
Step-by-step explanation:
we know that numbers smaller than zero have the minus sign beside them,you just count from 3 down to 0(doesn't count)
and then -1 till -7,you add 7 to 3 and you get 10 !,nothing easier
what are factors of the expression x^2-x-6?
A. (x+3)(x+2)
B. (x-3)(x-2)
C. (x+3)(x-2)
D. (x-3)(x+2)
Answer:
The answer is D. (x - 3) (x + 2)
pls help "find the equation of the line below"
What is the equation of the blue line?
Please can someone give me a good step to step guide on how to get this one.
Thank you!
Answer:
Step-by-step explanation:
First of all notice that slope has a negative value
Also notice that line cuts the y axis in -1
because of the symetry of the line you can deduce that the slope is -1, also you can calculate it using the fact that the points (-1, 0) and (0, -1) belongs to the line, the slope would be:
m=(0-(-1))/(-1-0)=-1
finally the equation is
y=-x-1
can someone please help me?
Answer:
1. 35/12
2. 23/10
3. 3/4
Solve the equation 6(2P+2)=120 for the variable p
Answer:
[tex]6(2p + 2) = 120 \\ 2p + 2 = 20 \\ 2p = 18 \\ p = 9[/tex]
Answer:
P = 9
Step-by-step explanation:
6(2P+2) = 120
12P + 12 = 120
- 12 = -12
12P = 108
12 = 12
P = 9
Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)
Answer:
[tex]\lim_{x \to 3} g(x) = DNE[/tex]
Step-by-step explanation:
Observations:
As x approaches 3 from the left side, f(x) approaches -1.6 As x approaches 3 from the right side, f(x) approaches 1.6Conclusion:
Because the right and left-side limits are not equal to each other, the limit does not existTherefore, [tex]\lim_{x \to 3} g(x) = DNE[/tex]Answer:
A.
Step-by-step explanation:
Got it right