What value makes the solution to the equation 5x-10=3x+a equal to 12

Answer:

first you correct like terns

Answer:

Twelve and one fourth feet

Step-by-step explanation:

9 and 3/4 feet =9.75

2 and 2/4 feet =2.50

9.75 + 2.50

= 12.25/12 and 1/4 feet

Answer:

Step-by-step explanation:Bó tay

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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The amount of concrete poured into each hole is given by A = 2.35 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the amount of concrete poured into each hole be A

Now , the total amount of concrete = 23.5 pounds

Ten posts were used to secure the fence. A hole was dug for each post.

So , the total number of holes = 10 holes

Now , the amount of concrete poured into 10 holes = total amount of concrete / 10

On simplifying the equation , we get

The amount of concrete poured into each hole is A = 23.5 / 10

The amount of concrete poured into each hole is A = 2.35 pounds

Hence , the equation is A = 2.35 pounds

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Answer:

the x mean 12 because 12×12=144 so there is the answer

The equation can you use to find the rental cost, d, of each day they used the RV is 895=8d+55

What does $895 comprises of?

The $895 paid  for the duration of the trip consists of the payments for the RV for 8 days and additional amount of $55 which is for the outdoors upgrade.

The equation that can be used to determine rental cost per , d , per day considers that the total rental cost is number of days, 8 days  multiply by the rental  cost per day, which is d, and also that the final $55 is specifically for outdoors upgrade

Total cost=d*8+$55

Remember total cost of the trip is $895

$895=8d+$55

Which we can rewrite the expression by ignoring the dollar sign as below:

895=8d+55

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The equation y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second.

i) Direction of wave propagation is negative x-axis.

ii) The wave speed is 1.25m/s.

iii)The maximum displacement from the mean position (i.e., the amplitude of the wave) is 0.16 m.

iv)The wave pulse is symmetric.

We compare the given wave equation from the standard wave equation. On comparing, direction and wave speed is found out. The Remaining two parts are found by maxima concept and changing x by −x at t=0 to get a wave is symmetric.

Moving pulse is given by

⇒y(x,t)=0.8[(4x+5t)2+5]

Comparing (4x+5t) with (ax+bt) then we get,

⇒a=4 and b=5 ⋯⋯⋯(1)

(i) When coefficients of x and t are positive then the wave pulse is moving negative x-direction. So, given an equation with coefficients a = 4 and b= 5 are positive. Therefore, the direction of the given equation will be negative x axis.

(ii) After getting the coefficient a and b, we can calculate the speed by determining the value of b/a. And we have value of a =4 and b =5 from the equation (1) .Then speed of the wave will be

=> b/a=5/4

=> speed of the wave =1.25m/s

(iii) To get the maximum displacement from the mean position we put (4x+5t)=0. As the denominator is minimum, the fraction will be maximum. Therefore displacement will be

=> y=0.85, putting the (4x+5t) is equal to zero.

After simplify we get,

=> y=0.16 m

Hence maximum displacement is 0.16m from the mean position,

(iv) We replace x by −x and also put t= 0 in the given equation. If the equation does not change, replacing the x by −x, it will be symmetric otherwise not.

Putting t=0 in the given equation y(x,t) we get,

=> y=0.8(4x)2+5

Now replace x by −x on the above equation we get, y=0.8(4x)2+5

there will not be any change. Therefore, the given equation is symmetric.

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Complete question:

If y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second. Find

(i) Direction of wave propagation.

(ii) The wave speed.

(iii) The maximum displacement from the mean position (i.e., the amplitude of the wave)

(iv) Whether the wave pulse is symmetric or not.

Domain are all real numbers expect x = - 1, and x = - 3

We have to given that;

Functions are,

f (x) = (- x + 5) / (3x + 3)

And, g (x) = (x + 5) / (- 2x - 6)

Now, We can formulate;

⇒ f (x) × g (x)

⇒ (- x + 5) / (3x + 3) × (x + 5) / (- 2x - 6)

⇒ (5 - x) × (5 + x) / (3x + 3) (- 2x - 6)

⇒ (25 - x²) / (3x + 3) (- 2x - 6)

⇒ (x² - 25) / (3x + 3) (2x + 6)

⇒ (x² - 25) / 6 (x + 1) (x + 3)

Hence, Domain are all real numbers expect x = - 1, and x = - 3

Because at x = - 1 and x = - 3 function are not defined.

Thus, Domain are all real numbers expect x = - 1, and x = - 3

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Answer:

q = -1/8

Step-by-step explanation:

You're trying to solve for q
32q+4=0

Subtract 4 both sides
32q=-4

Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.

q = -1/8

Answer:

4(8q+1)

Step-by-step explanation:

32q+4

4*8q+4*1

4(8q+1)

Answer:

the area where the grass will be planted is 25,920 square meters.

Step-by-step explanation:

To calculate the area where the grass will be planted, we need to multiply the length and breadth of the sports field.

Area = length x breadth

Area = 162m x 160m

Area = 25,920 square meters

Therefore, the area where the grass will be planted is 25,920 square meters.

The transformation of the function is left by 4 units

Given data ,

Let the parent function be represented as f ( x )

Now , f ( x ) = x²

Let the transformed function be represented as g ( x )

where g ( x ) = x² + 8x + 16

On factorizing , we get

g ( x ) = ( x + 4 )²

Therefore , Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

So , the transformation is left by 4 units

Hence , the transformed function is g ( x ) = ( x + 4 )²

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Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

She bought more polka dot fabric

Step-by-step explanation:

you can cross multiply so 9x11=99 and 12x7=84. Since 99>84, 11/12>7/9

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:

\(\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2\)

Answer:1/2

Step-by-step explanation:

Because the other guy said so and they seem smart so...yeah I would pick that one.

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Answer:

The  value of a= 17.5, b=-14 and c=-28.

Step-by-step explanation:

What is function?

A function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

Given function:

f (x) = 3x – 1.

Also,

x        f(x)

-5       a

-2       7

4        b

8       c

Now, using the proportionality

k = y/x

k = 7 / (-2)

k = -3.5

So, -3.5 = a/ (-5)

-3.5 x (-5) = a

a= 17.5

again, -3.5 = b/4

b= -14

Lastly, -3.5 = c/8

c= -28.

Hence, the value of a= 17.5, b=-14 and c=-28.

Answer:

a= -16 b=11 c=23

Step-by-step explanation:

trust me bro

\(\sf\huge\underline\color{pink}{༄Answer:}\)

Slope: 0

y - intercept: (0, -3)

Kindly click the attached photo ^^

\(\color{pink}{==========================}\)

#CarryOnLearning

\(\sf\color{pink}{༄⁂✰Bae \: Yoonah}\)

If A and B are similar matrices and v is an eigenvector of A, then v is also an eigenvector of B , similarly if u is an eigenvector of B then u is also eigenvector of A.

Suppose A and B are n×n matrices over R or C. We say A and B are similar, or that A is similar to B, if there exists a matrix P such that B =P⁻¹AP.

The eigenvalues are the roots of the

characteristic polynomial.

B =P⁻¹AP ⇔ PBP⁻¹ = A

If Av = λv , then PBP⁻¹v = λv ⇒ BP⁻¹v = P⁻¹λv

So, if v is an eigenvector of A, with eigenvalue λ, then P⁻¹v (which is non-zero since P is invertible) is an eigenvector of B with the same eigenvalue. If u is an eigenvector for B then P⁻¹v is an eigenvector for A. So, every eigenvalue of A is an eigenvalue of B and since you can interchange the roles of A and B in the previous calculations, every eigenvalue of B is an eigenvalue of A too. Hence, A and B have the same eigenvalues.

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The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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Step-by-step explanation:

The solution is above. please read it and give me the feedback if you get it or not.

If you don't, then it will be an honor to explain it further

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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Answer:

∠2=67°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠1+∠2=180

113+∠2=180

∠2=180-113

∠2=67°

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

\(\sqrt{\left(4-1\right)^2}+\left(3+1\right)^2\)

\(\longmapsto \sqrt{(4-1)^2} =3\)

\(\longmapsto (3+1)^2=4^2\)

\(\hookrightarrow 3+4^2\)

\(\hookrightarrow 4^2=16\)

\(\hookrightarrow 3+16\)

\(\hookrightarrow 19\checkmark\)

hope it helps

Answer:

5

Step-by-step explanation:

Given :

\(\sqrt{(4-1)^{2} +(3+1)^{2} }\)

Now,

\(\sqrt{(3^{2} )+4^{2} } \\\sqrt{9+16}\\\sqrt{25} \\5\)

Answer of the given expression will be 5.

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.