Suppose f(x) = x² − 2x³ + ax²+x+3, where a is a constant. If f(3) = 2, then
what is a?

Answer:

see below

Step-by-step explanation:

reserve = x

field =y

box = z

x * 20 +y*50 +z*100 =370

x=2y

x + y+ z =10 so 3y +z=10 so z=10-3y

2y * 20 + y*50 + (10-3y)*100 =370

90*y+1000-300*y =370

210*y=630

y tickets =3

x tickets=6

z tickets =1

the answer is there

60 students so. my brainly is glitchng sorry

Answer:

4.98952 kgs in 11 pounds

Step-by-step explanation:

First of all, how many kgs are in a pound?

Well 1 pound = 0.453592 kg.

So, to find how many kg are in 11 pounds you would multiply, 0.453592 by 11, which will be...

4.98952 kgs.

Hope this helps!

After 24 years, the amount will be $40,000

What is annual interest rate?

An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Formula:

a(t) = p*2^(t/8)

given, t=24 , p =5000

a(24) = 5000*2^(24/8)

a(24) = 5000*2^3

a(24) = 5000*8

a(24) = $40,000

Thus, after 24 years, the amount will be $40,000

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Answer:

Step-by-step explanation:

200 x 115.5/8 = $23,100.00

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

The point (-1,5) is not a solution to the equation 2x + 5y = 0 because this point does not satisfy the equation.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

2x + 5y = 0

Substitute x = -1 and y = 5 into the equation and see if it holds true:

2(-1) + 5(5) = 0

-2 + 25 = 0

23 = 0

Since 23 ≠ 0, the point (-1,5) is not a solution to the equation 2x + 5y = 0.

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Answer:

given that z=3 and w=2

10z+5w

now by putting the values of z and w

10(3) + 5(2)

30 + 10

40 is your correct answer

Answer: 8 x 96

Explanation: (Commutative Law: A x B = B x A)

The exponent x in the equation must be equal to 0.

Here we have the following equation:

16^x^2=8^0

First, notice that any number to the power of zero (except for the number 0) is equal to 1.

a^0 = 1

16^x^2=8^0

16^x^2 = 1

Now, trivially, if we use x = 0 we will get:

c

Particularly, 0^2 = 0

So we can rewrite:

16^0^2 = 1

16^0 = 1

1 = 1

So the solution is x = 1.

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a) The least score that you need to get on the last test and still earn a C is given as follows: 34.

b) With the least score counting twice, the least score that you need to earn a C is given as follows: 52.

The mean of a data-set is obtained as the sum of all the elements in the data-set divided by the number of elements in the data-set.

The scores for this problem are given as follows:

83, 70, 83, 80 and x.

(in which x is the score of the fifth test).

The least score that you could get on the last test and still earn a C is found when the mean is of 70, hence>:

(83 + 70 + 83 + 80 + x)/5 = 70

316 + x = 350

x = 350 - 316

x = 34.

With the final test counting twice, you would have the equivalent to six scores, which would be given as follows:

83, 70, 83, 80, x and x.

Hence the least score would be obtained as follows:

(83 + 70 + 83 + 80 + 2x)/6 = 70

316 + 2x = 420

2x = 104

x = 104/2

x = 52.

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The probability that a student studied for 4 hours is 0.257 Or 26%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A table is given where the first column represents the number of hours a student studied math and the second column represents the number of students.

So, sum of the second column is 35. so it is the total number of students

and, only 9 of them studied mathematics for 5 hours.

Therefore, The probability that a student studied for 4 hours is,

= 9/35

= 0.257 or 26%.

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The solutions for the given equations are x=2 and x=-4

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Fo question 5.

1/2x-2=9-5x

Take the variable terms on one sides\

x/2+5x=11

x+10x=22

11x=22

Divide both sides by 11

x=22/11

x=2

For question 6:

-5+x/4=3x+6

-20+x=12x+24

-20-24=12x-x

-44=11x

x=-4

Hence, the solutions for the given equations are x=2 and x=-4

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The total quantity of the three spices is 7/8

A recipe has three spices

1/8 teaspoon of turmeric

1/4 teaspoon of ginger

1/2 teaspoon of cumin

The total quantity of the three spices can be calculated as follows

1/8 + 1/4 + 1/2

= 7/8

Hence the total quantity of the three spices is 7/8

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Answer:

x = 4  or  x = 3

Step-by-step explanation:

x² - 7x = -12

x² - 7x + 12 = 0

(x - 4)(x - 3) = 0

x - 4 = 0  or  x - 3 = 0

x = 4  or  x = 3

Answer: The answer would be x=4 and x=3.

Step-by-step explanation:

Step-by-step explanation:

what is the usual formula for the area of a triangle ?

it is

base × height / 2

so, we know the area (10 cm²).

when we use the formula, we get

10 = 5 × w / 2

20 = 5 × w

w = 20/5 = 4 cm

Answer:

the height is equal = 4 cm

Answer:

y-int = -1

x-int = -4

HA: y = -2

VA: x = -5

Step-by-step explanation:

For the y-intercept, you need to look where the graph intersects with the y-axis. In this case, the graph intersects at -1.

For the x-intercept, you need to look where the graph intersects with the x-axis. In this case, the graph intersects at -4.

The horizontal asymptote is a y value the graph approaches but does not pass or touch. In this case, the y value is -2.

The vertical asymptote is a x value the graph approaches but does not pass or touch. In this case, the x value is -5.

The missing vertices of the square are B(x, y) = (- 2, 1) and D(x, y) = (6, - 7), respectively.

Squares are quadrilaterals with four sides of equal length and four internal right angles. This kind of quadrilaterals have two diagonals perpendicular to each other. In this case, we know the coordinates of the endpoints of diagonal AC and we need to determine the location of points B and D.

This can be done by means of the following definition: A(x, y) = (a, b), C(x, y) = (c, d), B(x, y) = (a, d), D(x, y) = (c, b). If we know that a = - 2, b = - 7, c = 6 and d = 1, then the location of points B and D are, respectively:

B(x, y) = (- 2, 1), D(x, y) = (6, - 7)

Lastly, we graph the resulting figure.

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So on solving the provided question we can say that from the given data - (a) and (b) are triangles only/

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

(a) T(-2, 4), R(6, O), 1(-5, -2) - is triangle

(b) p(9, -3), Q(-l, 1), R(-5, -9)- is a triangle

(c) O), E(-6, 10), F(-IO, 4) - can not be determined

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Son solving the provided question we can say that - the fraction is (2 + 1/x ) / ( 7-1/x ) = 5/13

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here, the fraction is

(2 + 1/x ) / ( 7-1/x )

2x+1/7x-1

x = 2

5/13

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The maximum allowed ratio for the cord such that the maximum allowable normal stress is 8.77 kilopascals is equal to 2.081.

Let assume that the cork is made of a ductile material, in this case we find that the normal stress (σ), in kilopascals, and shear stress (τ), in kilopascals, are described below:

Normal stress

σ = F / A

Shear stress

τ = (3 · V) / (2 · A')

Where:

Let assume that cork is at static equilibrium and at inminent motion, then the shear and normal forces are, respectively:

F = P

V = P / 2

And the transversal areas are introduced below:

A = π · R²

A' = 2 · R · H

Where:

If we know that σ = 8.77 kPa and τ = 4.98 kPa, then the maximum allowed ratio between the cork height and the cork radius is:

8.77 = P / (π · R²)

8.77 = [1 / (π · R)] · (P / R)

4.98 = 1.5 · (0.5 · P) / (2 · R · H)

4.98 = [0.75 / (2 · H)] · (P / R)

Then, we eliminate P / R of the two equations:

8.77π · R = 13.24 · H

H / R = 8.77π / 13.24

H / R = 2.081

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Answer: (6,2) (0,-2) (-3,-4)

Step-by-step explanation:

If you find the other coordinate pair groups on the graph, there is at least one that doesn't land on the line on the graph.

In the top left, (-6,-5) is not on the graph. If it had been (-6,-6) then it would've been correct, but it isn't.

In the bottom left, (0,-3) isn't on the graph. Instead, (0,-2) is.

In the bottom right, (3,-4) isn't on the graph, but (-3,-4) is.

Answer:

The cost of 6 m of water pipe = ₹ 192

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

To solve the equation, we'll need to get the square roots on one side and the non-square root terms on the other side.

First, we'll add √x to both sides to get:

√2x+4 - √x + √x = 2 + √x

√2x+4 = 2 + √x

Next, we'll square both sides to get rid of the square roots:

(√2x+4)^2 = (2 + √x)^2

2x+4 = 4 + 2√x + x

Then, we'll simplify the right side of the equation:

2x+4 = 4 + 2√x + x

2x+4 = 4 + x + 2√x

Now we'll subtract 4 from both sides

2x = x + 2√x

x = 2√x

Finally, we'll divide by x on both sides

1 = 2√x/x

x = √x

x = 1

Therefore, the solution of the equation is x=1

Answer:

To solve the equation √2x+4 - √x = 2, we can first square both sides of the equation to eliminate the square roots.

Squaring both sides gives: (√2x+4)^2 - (√x)^2 = 2^2

Simplifying the left side gives: 2x+4 - x = 4

Next, we can add x to both sides of the equation to get:

2x+4 = 4 + x

then we can subtract 4 from both sides of the equation to get:

2x = x

then we can divide both sides by x

2 = 1

However, it is not possible to divide by zero, so x = 0 is not a valid solution.

This equation is an extraneous solution because the assumption that x is not equal to 0 led to a valid solution, but when x = 0, the equation is not defined.

Therefore, the solution of √2x+4 - √x = 2 is x = any value except 0.

Answer:

116.05

Step-by-step explanation:

15 to 20 = 5 years

compound semiannually = 10 time

annual rate 3% = 1.5% for every 6 mos

so 100*(1+1.5%)^10 =116.05

Answer:

Step-by-step explanation:

Given :

Null Hypothesis :

Alterative Hypothesis

two tailed test

claim is Ha

Alterative Hypothesis: Ha: u ≠ 1

The alternative hypothesis that would be used to test the mean quantity is different from 1 liter is u ≠ 1.

An assertion used in statistical inference experiments is known as the alternative hypothesis. It is contradictory to the null hypothesis and denoted by Ha or H1.

Given that the claim in the null us that u = 1.

Since, an alternative hypothesis is one in which the researchers anticipate a difference (or an effect) between two or more variables; thus, the observed pattern of the data is not the result of chance.

Therefore,

The alternative would be that u is not equal to 1.

Hence, the alternative hypothesis that would be used to test the mean quantity is different from 1 liter is u ≠ 1.

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Using pythagoras theorem formula, c² = a² +b²  We can see that the two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

What is Pythagoras' theorem ?

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

Let the sides of the triangles be a, b and c. According to Pythagoras theorem;

c² = a² +b²

where:

a is the hypotenuse (longest side)

For triangle A:

c = 13

b = 12

Get "a"

13² = 12² +b²

b² = 25

=> b = 5 cm

Similarly for triangle B:

c² = 5² +12²  = 169

=> c=13 cm

We can see that the two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

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Answer:

1) f(-3)

= 2x + 5

= 2×(-3) +5

= -6+5

= -1

2) g(x)- h(x)

= -3x² + 2x - 6 -(-4 - x)

= -3x² + 2x - 6 + 4 + x

= -3x² + 3x - 2

3) f(x) = h(x)

or, 2x + 5 = -4 - x

or, 2x + x = -4 - 5

or, 3x = -9

or, x = -9/3

or, x = -3

4) i am not sure about the last but the answer is between f(x) and h(x). But i think its f(x).