Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x + 7 x2 - x = 3x + 7

The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

[tex]-a\cdot e^{-x}+b = 0[/tex] (1)

[tex]b = a\cdot e^{-x}[/tex]

SDT

[tex]y''=a\cdot e^{-x}[/tex] (2)

Where [tex]y'' > 0[/tex].

If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:

[tex]10 = a\cdot e^{-1}+b[/tex] (3)

[tex]b = a\cdot e^{-1}[/tex] (4)

[tex]y'' = a\cdot e^{-1}[/tex] (5)

By (4) in (3):

[tex]10 = 2\cdot a\cdot e^{-1}[/tex]

[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]

[tex]a = 5\cdot e[/tex]

By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):

[tex]b = 5[/tex]

Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

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Answer:

160

Step-by-step explanation:

We know that [tex]\left \{ {{t=2.5} \atop {v=64}} \right.[/tex]

Formulate and substitute: [tex]d=2.5[/tex]×[tex]64[/tex]

Calculate the product or quotient: [tex]160[/tex]

Answer: [tex]160[/tex]

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

Answer:

One face of a US quarter has an area of approximately 461.21 square millimeters.

Step-by-step explanation:

Answer:

CBA would be the sixth

Step-by-step explanation:

The midpoint of the line segment is the average of the respective coordinates.

So the x-value of the midpoint if the average of the two individual x-coordinates.

    (-3.5 + 4)/2 = 0.5/2 = 0.25

And the y-value of the midpoint if the average of the two individual y-coordinates.

    (2 + (-2.5))/2 = -0.5/2 = -0.25

So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".

Answer:

B.

Step-by-step explanation:

When using the distributive property, you distribute the leading number to each number inside the parentheses.

Answer:

Option B is correct.

Step-by-step explanation:

The answer of Option B is correct. 58 × 5 = 290.

Therefore, Option B is correct.

Answer:  25 cups of flour & 10 teaspoons of vanilla

Step-by-step explanation: A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

5 x 5 is 25 cups of flour

2 x 5 is 10 teaspoons of vanilla

Answer:

6 437 376 m2 (2.49 mi)

Step-by-step explanation:

0.62137119 miles = 1 kilometer

Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

Answer:

The correct answer is A: Can I divide all terms by a GCF?

explanation:

I took the quiz

[tex]v^{2}[/tex]Answer:

4 feet long

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

In this problem, a and b are the legs of the triangle, while c is the hypotenuse

Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:

5 + 11 = [tex]c^{2}[/tex]

Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.

Answer:

We would need to see the tiles and table. If you'd attach them I'd love to help

Step-by-step explanation:

The triangle is solved and the measure of internal angles = 180°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the two parallel lines be y and z

where y ║ z

And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.

So , ∠1 = ∠5 and ∠3 = ∠6

And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )

And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )

where the measure of ∠1 = ∠5 ( alternate interior angles )

And , the measure of ∠3 = ∠6 ( alternate interior angles )

Hence , the triangle is solved

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The complete question is attached below :

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

Answer:

$1720

Step-by-step explanation:

1032 is 3/5 of the cost.

Divide 1032 by 3/5, which is 1720.

Thus, the answer is $1720.

The cost of the present day will be $1,720.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.

The cost of the present day will be given by the division of the numbers 1032 and 3/5.

⇒ 1032 / (3/5)

⇒ 1032 x 5 / 3

⇒ $1,720

The cost of the present day will be $1,720.

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Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

Answer:

3/16

Step-by-step explanation:

In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.

The cost in dollars of each large envelope is $1.42.

Two equations can be derived from this question:

14p + 5l = 12 equation 1

10p + 15l = 24.80 equation 2

Where:

p = postcards

l = large envelopes

To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.

140p + 50l = 120 equation 3

140p + 210 = 347.20 equation 4

Subtract equation 3 from 4

227.20 = 160l

Divide both sides of the equation by 160

l = 227.20 / 160

l  = $1.42

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Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Answer:

3.75 lt or 3750 mlts

Step-by-step explanation:

I think any of these would work

10;18

15;28

20;35

Answer:

5:9

Step-by-step explanation:

To Find:

ratio of yellow paint to blue paint to make a particular shade of green.

Solution:

The ratio can be written as 5 to 9, or 5:9

We know that if we mix 5 gallons of blue paint with 9 gallons of yellow paint we get the particular shade of green that we want.

Then the ratio of gallons of blue paint to gallons of yellow paint is 5 to 9, or 5:9

Meaning that for every 5 gallons of blue paint we need 9 of yellow paint.

Variance is the exact average deviation of data values from the mean in squared units and the Standard deviation of data values from the mean in regular units.

Variance is a statistical measure of the dispersion of numbers in a data collection. Variance estimates how much more each number in the set deviates from the mean, and from each and every other number in the set.

The variance is a measure of the degree of variability. It is determined by averaging the squared deviations out of the mean.

The greater the spread of the data, the greater the variance in proportion to the mean.

The standard deviation is determined as the square root of variance by calculating the departure of each data point from the mean. The standard deviation represents the average level of variation in your dataset. It informs you how far each number deviates from the mean on average.

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O NEGATIVE ONE-HALF ........

Answer:

answer is D

Step-by-step explanation:

the answer is 1.75

Answer:

-1 = 2(-1 -1) = -4

0 = 2(0-1) = -2

1 = 2(1-1) = 0

2 = 2(2-1) = 2

Step-by-step explanation:

x = the number on the left column

for the middle colum, you need to do 2(x -1)

for the right column, you do : (x - 1) x 2)

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30