1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
What is the value of
negative 3/4 with negative 4 as a exponent
Answer:
=[tex]\frac{256}{81}[/tex]
(Decimal: 3.160494)
Step-by-step explanation:
[tex](\frac{3}{4} )^-4[/tex]
[tex](\frac{4}{3} )^4[/tex]
[tex]\frac{4^4}{3^4}[/tex]
=[tex]\frac{256}{81}[/tex]
(Decimal: 3.160494)
:)
I hope this helps
Decide whether the data in the table represent a linear function or an
exponential function.
O A. The data represent a linear function because there is a common difference of -8.
OB. The data represent an exponential function because there is a common ratio of 2.
C. The data represent a linear function because there is a common
difference of 8.
D. The data represent an exponential function because there is a common ratio of 1/2
f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]
so is linear because it has a slope (common difference) of -8,
X^3+3x^2-19/x-2
Find the quotient and remainder using synthetic division:
The quotient is
The remainder is
Submit Question
Step-by-step explanation:
x³ + 3x² - 19 ÷ x - 2 = x² + 5x + 10 rem 1
x³ - 2x²
5x² - 19
5x² - 10x
10x - 19
10x - 20
1
The quotient is ⇒ x² + 5x + 10 The remainder is ⇒ 1Answer:
quickly:
x-2=0 x^3+3x^2-19
x=0+2 = 2^3+3(2)^2-19
x=2 = 8+6^2-19
=8+36-19
=42-19
=23
The remainder is 23
a bike cost 129.90 what is your total with a tax of 5%
Answer:
so you just use the equation to get the formula and extract the common denominator
Step-by-step explanation:
because i said so
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Answer:
No, there is no enough flour for each of his friends to get a cupcake
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ This recipe makes 2 dozen cupcakes
∵ Each dozen contain 12 cupcakes
∴ The number of cupcakes can the recipe make = 2 × 12
∴ The number of cupcakes can the recipe make = 30 cupcakes
∵ The recipe calls for 3 cups of flour
→ That means 3 cups of flour can make 30 cupcakes
∴ 3 cups of flour makes 30 cupcakes
∵ Anthony’s mother has only 1 cup of flour
→ By using the ratio method
→ flour : cupcake
→ 3 : 30
→ 1 : x
→ By using cross multiplication
∵ 3 × x = 1 × 30
∴ 3 x = 30
→ Divide both sides by 3
∴ x = 9
∵ x represents the number of cupcakes
∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour
∵ Anthony has 12 friends at his daycare
∵ The number of the cupcakes = 9
∴ The number of cupcakes is not enough for each of his friends to
get a cupcake
Step-by-step explanation:
Answer:
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Step-by-step explanation:
Pls help my child has no clue and this math is too hard for me to understand!!
Answer: 160
Step-by-step explanation: The questions says that there are 144 which make up 90% of the total group.
What is the other 10%? To figure this out, we can set up a proportion which we can do in the following way:
144/t = 90/100
From here, you can cross multiply 144 x 100 = 14,400
90t = 14,400
t= 160
You can always check by plugging 160 into t to make sure the proportion is equal. I picked t as my varriable of choice which stands for team members. But you can pick an varriable (letter) to find an unknown.
In practice, is best that your child uses a calculator because in the real world, its a practical handy tool and one doesn't have time to memorize every detail by doing that long division. Once your child gets the hang of practicing setting up proportions, your child can solve a variety of problems without going back in circles.
Hope this explanation helps. Best of luck to you and your child.
(88)(√75)
HELP ASAP....
Answer:
sqr75=sqr25*sqr3=5*sqr3
88(5*sqr3)
decimal = 762.10235533
Answer:
440√3Step-by-step explanation:
Given:
88√75Solution:
88•√(5^2 * 3)Rewrite the expression as:
88•(5√3)Multiply 88 into 5:
440√3762.102 ( 3 decimal place )Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes? on average a shirt cost 15 bucks but 19? yeah no
Answer:
Step-by-step explanation:
no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes? on average a shirt cost 15 bucks but 19? yeah no
PLEASE HELP! WILL MARK BARINLIEST IF ANSWER CORRECTLY (Screenshot)
Answer:
14
Step-by-step explanation:
3+3+4+4 = 14
I NEED HELP PLEASEEEEEEEE÷E
Answer:
C = -1 1/9° or -1.11°
Step-by-step explanation:
Use the formula given, and input 30 for F
[tex]C = 5/9(F - 32)\\\\C = 5/9(30 - 32)\\\\C = 5/9(-2)\\\\C = -10/9 = -1 \frac{1}9 = -1.11[/tex]
30°F ≈ -1.11°C
-Chetan K
This value is approximate.
==================================================
Explanation:
You're given a temperature of 30 degrees F and your teacher wants to know the Celsius version of this temperature. Plug in F = 30 and simplify.
[tex]C = \frac{5}{9}(F-32)\\\\C = \frac{5}{9}(30-32)\\\\C = \frac{5}{9}(-2)\\\\C \approx 0.5555*(-2)\\\\C \approx -1.111\\\\[/tex]
The temperature 30 degrees F converts to approximately -1.111 degrees C. Fahrenheit temperatures below 32 degrees are below 0 when converted over to Celsius.
Pls need help
Also making this 10 points so i have 169 points left B)
Answer:
Second and fourth
Step-by-step explanation:
A line is in point-slope form when you write down as [tex]y-y_0=m(x-x_0)[/tex] - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.
Which of the following functions are solutions of the differential equation y" + y = 7 sin(x)? (Select all that apply.)
y = 7 sin(x)
y= 7 cos(x)
y= 7x sin(x) - 8x cos(x)
y = 7/2 sin(x)
Y = - 7/2 cos(x)
The homogeneous equation
y'' + y = 0
has characteristic equation
r² + 1 = 0
with roots at r = ± √(-1) = ± i, and so the characteristic solution is
y = C₁ cos(x) + C₂ sin(x)
Using the method of undetermined coefficients, suppose
y = a x cos(x) + b x sin(x)
(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)
The derivatives are
y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)
y' = (b - a x) sin(x) + (a + b x) cos(x)
and
y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)
y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)
Then
y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)
7 sin(x) = -2a sin(x) + 2b cos(x)
and it follows that a = -7/2 and b = 0.
So, the general solution to the DE is
y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)
which means the only valid solutions from the given choices are
y = 7 sin(x)
y = 7 cos(x)
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
at the vertex x = 4.5
Step-by-step explanation:
hope this helps! :)
Answer:
at the vertex x = 4.5
Step-by-step explanation:
plz help I NEED IT RN PLZ
A quadrilateral has (blank) sides and (blank) angles
A pentagon has (blank) sides and (blank) angles
A cube (blank) faces
Step-by-step explanation:
A quadrilateral has (four) sides and (four) angles
A pentagon has (five) sides and (five) angles
A cube (six) faces
hope this helps you.
help what’s the answer
Answer: A. Vertical angles
Step-by-step explanation:
They are vertically opposite angles.
Correct me if I am incorrect.
Mai skated x miles, and Clare skated 2 times farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
HELP!!!! PLZZZZZZZZZZ
Answer:
2x³ + 4x² cub. inches
3x³ + 36x² + 105x cub. inches
x³ + 32x² + 105x cub. inches
Step-by-step explanation:
Volume of the small box = x × 2x × (x + 2)
= 2x²(x + 2)
= 2x³ + 4x² cubic inches
Volume of the large box = (x + 5)(x + 7) × 3x
= (x² + 12x + 35) × 3x
= 3x³ + 36x² + 105x cubic inches
Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)
3x³ + 36x² + 105x - 2x³ - 4x²
x³ + 32x² + 105x cubic inches
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer:
correct answer explained above
Solve for x.
5(x−4)2=4x+14
x = 9
x = 8
x=−6
x=−16
Answer:
9 is the answer.
Step-by-step explanation:
5(x − 4)2 = 4x + 14
=> 10x - 40 = 4x + 14
=> 6x = 54
=> x = 9
Therefore, 9 is the answer.
Hoped this helped.
The value of the x after solving the equation 5 (x - 4) 2 = 4x + 14 is x = 9.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given linear equation,
5 (x - 4) 2 = 4x + 14
5 × 2 (x - 4) = 4x + 14
10 (x - 4) = 4x + 14
By distributive property, p (q + r) = p q + p r
10x - (10 × 4) = 4x + 14
10x - 40 = 4x + 14
10x - 4x = 14 + 40
6x = 54
x = 54 / 6
x = 9
Hence the value of x is 9.
To learn more about Linear Equations, click on the link given below :
https://brainly.com/question/11897796
#SPJ2
Help help help help math please ASAP
Answer:
I think its 86
Step-by-step explanation:
As the two lines going in the same direction are parallel and angles within parallel lines add to 180.
so 180-94=86
Two angles are supplementary. The larger angle is 28∘ more than the smaller angle. Find the measure of the larger angle.
Supplementary means that the angles together equal 180°
So we simply do 180 - 28 = 152°
Hope this helps!
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum exceeds 20.
Answer:
If the die is 6 sided then the likely is none (0)
Step-by-step explanation:
Hope this helps!:)
For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters
Which expression is equal to the expression below?
(2• 6)4
Answer:
2 × 6 × 4
Step-by-step explanation:
This can also be written like this.
Monica paid sales tax of $1.40 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge for the bike helmet before tax?
Divide 140 by 7 and you get 20, so Monica spent 20$ in order to pay a 1.40 sales tax
The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.
Incorrect Work/Solution
Identify and explain the Error
x
(6x + 3) + (3x +1) + x + x
6x + 3x + x +x+3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Correct Work/Solution
Share a Strategy
Answer:
Refer to link below:
Step-by-step explanation:
https://brainly.com/question/25868816?referrer=searchResults
Please help me prove that RST is congruent to RUT!
Answer:
See image
Step-by-step explanation:
On line 3, the reason is filled in that "All right angles are congruent" so kind of working backwards, the statement must say that two right angles are congruent. Use the angles in the previous two statements. Line 4 has the statement completely filled in, the reason is bc it is given in the list of given statements beside the diagram. Line 5 says that RT is congruent to itself. That is reflexive property, like a reflection in a mirror. Same ~= same.
You can see from the markings on the image that you have Angle-Side-Angle, which is one of several ways that we can show that triangles are congruent. ASA is what is shown in statements 1-5. See image.
If an eight-pound bag of rice cost $9.60, what is the cost of 1 pound of rice?
Answer:
$1.20 for one pound of rice
Step-by-step explanation:
$9.60 ÷ 8 = $1.20
I hope this helps!
what is 2/3 times 3/7
Answer: 2/3 time 3/7 it would be 6/21
Step-by-step explanation: because you would multiply bot the numerator and denominater.