For polynomial function f, if f(3)=5 and f(5)=-2, what do we know about any roots of f(x)?

Answer:

20 ounces of the 63% solution and 80 ounces of the 33% solution.

Step-by-step explanation:

Let x = number of ounces of 63% solution.

Let y = number of ounces of 33% solution.

The total solution to be made is 100 oz.

x + y = 100

x ounces of 63% solution is 0.63x ounces of acid.

y ounces of 33% solution is 0.33y ounces of acid.

100 ounces of 39% solution is 39 ounces of acid

0.63x + 0.33y = 39

The system of equations is

x + y = 100

0.63x + 0.33y = 39

Multiply the both sides of the first equation by -0.33. Then add it to the second equation.

         -0.33x - 0.33y = -33

    +    0.63x + 0.33y = 39

   ---------------------------------

             0.3x             = 6

x = 6/0.3

x = 20

x + y = 100

20 + y = 100

y = 80

Answer:

20 ounces of the 63% solution and 80 ounces of the 33% solution.

Answer:

Two times lower than last year's temperature

Let today's Temperature be x

x/2 = -8.2°

x = -8.2°*2

Answer:

27

Step-by-step explanation:

To find 45% of 60, you can multiply 60 by 0.45

60 x 0.45 = 27
45% of 60 is 27.

Answer:

.

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.

()_()

.

Step-by-step explanation:

Answer:

x=2 y= -1

Step-by-step explanation:

Took me 5 minutes to write steps and unfortunately it disappeared. I am so sorry. But the answer is correct

The solution of the equation will be 1. Then the correct option is A.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

2/5 + p = 4/5p + 3/5

Simplify the equation for p, then we have

2/5 + p = 4/5p + 3/5

p - 4/5p = 3/5 - 2/5

1/5 p = 1/5

p = 1

The solution of the equation will be 1. Then the correct option is A.

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Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

Answer:

50.92

Step-by-step explanation:

13.4 x 1 x 7.6=101.84

101.84÷2=50.92

I think that might be it but if I am wrong I am sorry that is just what I learned

Answer:

31.0

Step-by-step explanation:

 13.4

+17.6

=====

31.0

To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.

The diameter or radius of the circle is the dimension of a circle.

The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.

A geometrical rule states that the dimension of an object with n dimensions is n+1. For instance, a square is made up of line segments that are 1d and a cube is built up of squares that are 2d. The circle is therefore 2d or two-dimensional space since it is made up of 1d diameters.

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Answer:

The length of the parallelogram is half of the circumference of the circle, and its height is equal to the radius of the circle.

Step-by-step explanation:

Answer:

96 units^2

Step-by-step explanation:

The formula for the area of a triangle: b*h/2

b= 12

h= 16

Work:

12*16/2

192/2

96 uints^2

Answer:

Step-by-step explanation:

For both pizzas A and B to cost the same, there must be 5 toppings. Equations can be categorized as identities or conditional equations.

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two equilateral triangles and an equivalent sign in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear model is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.

given

number of toppings be x

number of toppings for pizza A = $10 + x*$1.5

number of toppings for pizza B = $12.5 + x*$1

10 +1.5x = 12.5 + x

10 -12.5 = x- 1.5x

-2.5 = - 0.5x

x = 5

For both pizzas A and B to cost the same, there must be 5 toppings.

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Answer:

m = 2.25

b = 4.15

Step-by-step explanation:

Let us consider the points (1, 6.4) & (3, 10.9)

Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25

Now, by point slope formula of a line, we have:

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] \therefore y - 6.4 = 2.25(x - 1)[/tex]

[tex] \therefore y - 6.4 = 2.25x - 2.25[/tex]

[tex] \therefore y = 2.25x - 2.25+6.4[/tex]

[tex] \therefore y = 2.25x + 4.15[/tex]

Equating it with y = mx + b, we find:

m = 2.25

b = 4.15

The decimal value is exact without any rounding.

==========================================================

Explanation:

If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78

An increase of 6% leads to 100%+6% = 106% and that converts to 1.06

Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.

Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.

---------

Extra info:

The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%

This means Jackson is getting a real discount of 17.32% after the taxes have been considered.

Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.

Answer:

About $982.

Step-by-step explanation:

The average cost is:

[tex]y = 1.182x + 19.096[/tex]

When the cost of a one-bedroom apartment is 815, we have [tex]x = 815[/tex], so we should expect the cost to be:

[tex]y = 1.182(815) + 19.066 = 982.4[/tex]

So:

About $982.

Answer:

y=x+2

Step-by-step explanation:

Im going to start by presuming its a linear equation so the formula is:

y=mx+n so now we just make a simulanious equation:

7=5m+n

4=2m+n

which we subtract to get

3=3m

m=1

then we plug it into the first equation

7=5+n

n=2

so the equation is:

y=x+2

Answer:

it answer is 180

Step-by-step explanation:

plz mark me as brainlist

Answer:

[tex]\huge\boxed{\fcolorbox{green}{violet}{Answer}}[/tex]

[tex]144(x - 36) \\ = 144 \times x - 144 \times 36 \\ = 144x - 5184 \\ x = \frac{5184}{144} \\ x = 36[/tex]

The dilation of triangle JKL, with point P at the origin and scale factor of 3, is graphed on the image shown at the end of the answer.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The coordinates of the vertices of the original triangle JKL for this problem are attributed as follows:

The scale factor of the dilation is given as follows:

k = 3.

Meaning that each coordinate of each vertex of the triangle will be multiplied by 3, thus obtaining the coordinates of the vertices of the image of triangle JKL after the dilation, as follows:

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Based on the principles of kinetic theory, the speed of sound in matter is determined by the mean free paths of the molecules that make up the matter and the properties of the material itself.

Velocity is the speed at which an object moves or changes position over a period of time. It is usually measured in units such as meters/second, miles/hour, kilometers/hour. It is an important factor in the movement of objects and the movement of sound, light and other forms of energy. Speed ​​is also an important factor in transport safety, as it affects how long it takes a vehicle to stop and how far it must travel to stop safely.

Predict the ranking of sound speeds for four different materials.

Steel, 25°C air, 50°C air and water. Use the theory of motion of matter to protect your predictions.

Therefore, the speed of sound varies greatly depending on the material. Below is the ranking of the speed of sound for the four substances listed. From fastest to slowest:

1. 25°C Air: The speed of sound in warm air at 25°C is the fastest of the four substances, and because air is made up of both light and heavy molecules, it can travel quickly. The speed of sound in warm air at 25 °C is about 343 m/s.

2. 50°C air: The speed of sound in air at 50°C is slower than in air at 25°C. This is because molecules in warm air spread out more and move more slowly. The speed of sound in air at 50 °C is approximately 331 m/s.

3. Water: Water molecules are denser and move slower, so the speed of sound in water is slower than in air. The speed of sound in water is approximately 1,482 m/s.

4. Steel: The speed of sound in steel is the slowest of the four substances. This is because steel is composed of heavier molecules that move slower than those in air and water.

Overall, the order of sound velocities for the four materials is air at 25°C, air at 50°C, water, and steel. This classification is based on the principle of kinetics that the speed of sound in a material is determined by the mean free paths of the molecules that make up the material and the properties of the material itself.

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Answer:

[see below]

Step-by-step explanation:

[tex]3*2^t[/tex]

When 't' is 1:

[tex]3*2^1\\\\3*2\\\\\boxed{6}[/tex]

When 't' is 4:

[tex]3*2^4\\\\3*16\\\\\boxed{48}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

3 time 2 with the power of t

You see the given values, 1 and 4?

All you need to do is replace those values with 1 and 4.

3 x 2 with the power of 1.

2 times the power of one is just 2 because you aren't multiplying it with another 2.

So, 3 times 2 is 6.

3 x 2 with the power of 4

2 x 2 x 2 x 2 = 16

It's not 2 times 4; it's 2 times the power of 4-- which means we multiply the number by itself depending on the given value we're given.

I hope this helps!

for an inequality graph, if the line is dashed, that means that the border line is not part of the shaded region, so any points on it are not a solution of it, any points inside the shaded region or "true" region are solutions to it, only if the border line is solid then the border is part of the "true" region, Check the picture below.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Add -3.6 and 2 inside the bracket. Then multiply the result by -1.5.

[tex]-3.6 + 2 = -1.6\\-1.5(-1.6) = 2.4[/tex]

Note: Two negatives make a positive.

Step-by-step explanation:

(-1 5x-3.6)+(-1.5x2)

=5.4+-3

=5.4-3

=2.4

Answer:

a) 69.36 square meters

b) 242,760 cost of tiles

c) 332,928 total paid for patio

Step-by-step explanation:

A rectangular patio is 10.2 m long 6.8 m wide

a) calculate the area of the patio

b) If tiles cost # 3500/m^2, calculate the cost of tiling the patio

c) If the cost of labour is 1300 /m2.

Calculate the amount paid for the patio​

---------------------------------------------------

Area of the patio is length x width:

10.2 x 6.8 = 69.36 square meters

---------------------------------------------------

Tile cost = area x cost of tiles/square meter :

69.36 x 3500 = 242,760

---------------------------------------------------

Labour cost = area x cost of labour/square meter:

69.36 x 1300 = 90,168

----------------------------------------------

Total paid for the patio = cost of tiles + cost of labour

= 242,760 + 90,168 = 332,928

The given equation is a second order differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

Isaac Newton listed three kinds of differential equations given -

[tex]${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}[/tex]

Given is a differential equation as follows -

d²a/db² + a = 4b + 10sin(b)

The given equation is -

d²a/db² + a = 4b + 10sin(b)

Let y = a and x = b, then we can write -

d²y/dx² + y = 4x + 10sin(x)

A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -

d²y/dx² + P(x) dy/dx + Q(x) y = f(x)

For the equation given -

d²y/dx² + y = 4x + 10sin(x)

On comparing, we get -

P(x) = 0

Q(x) = 1

f(x) = {4x + 10sin(x)}

Therefore, the given equation is a second order differential equation.

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Answer:

x^2 + 2x - 35

Step-by-step explanation:

Sum of zeros

= - 7 + 5

= - 2

Product of zeros

= - 7 x 5

= - 35

x^2 - ( sum of zeros )x + product of zeros

= x^2 - ( - 2 ) x + ( - 35 )

= x^2 + 2x - 35

The Quadratic polynomial is x^2 + 2x - 35.

Answer:

Basically perform the opposite operation in order to undo a given operation

Step-by-step explanation: