Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.







Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.

The nature of roots of quadratic equation x² = -2x + 1 is real and distinct.

The standard form of a quadratic equation is:

ax² + bx + c = 0

The discriminant is defined as:

D = b² - 4ac

Using  the value of discriminant, we can determine the nature of roots of a quadratic equation.

If:

D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.

D = 0, the quadratic equation has 1 real equal roots or the roots are unique

D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.

In this case, the quadratic equation is:

x² = -2x + 1

transform it into the standard form:

x² + 2x - 1 = 0

Calculate the discriminant:

D = 2²  - 4 (-1) = 8

Since D > 0, the roots are two distinct real roots.

Your question is incomplete, but most probably your question was:

What is the nature of roots of quadratic equation x² = -2x + 1?

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Answer: The Answer is false!

Step-by-step explanation:

The area of a rectangle is found by multiplying the length by the width.

Answer:

375 km

Step-by-step explanation:

distance = speed * time

3 hours at an average speed of 80 km per hour

distance  = 3 * 80 = 240 km

90 minutes at an average speed of 90 km per hour

90 min = 1.5 hours

distance = 1.5 * 90 = 135 km

Total distance = 240 + 135 = 375 km

Answer:

(4, 3)

Step-by-step explanation:

hope this helps :)

Answer:

A

Step-by-step explanation:

Two triangles can be similar if their leg lengths are in proportion with each other, regardless of size. Since the triangles are the same in different sizes, they are similar. The hypotenuse of the triangles isn't the same, but the angles are the same, so the hypotenuse will still follow the same line.

Answer:

4cx

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

in explanation

Step-by-step explanation:

The canary, the seagul, and the crow, All have both checkmarkes that shows that they Can fly AND they are birds (so B)

Bro this is easy you dont need Brainly for this just read it carefully and look at the graph.

Answer:

canary, seagull, crow

Step-by-step explanation:

just took the test

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 =  1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

Answer:

Can I see the photo please

Step-by-step explanation:

Answer:

d. 1/16

Step-by-step explanation:

Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.

Hope this helps!

The completed blanks in the statement are underlined as follows

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical expression is given as

2x⁴ + 53x⁵ - 2 + x⁶

The standard form

To do this, we rearrange the expression from the highest power to the least

So, we have the following representation

x⁶ + 53x⁵ + 2x⁴  - 2

The degree

This is the highest power in the expression

So, the degree is 6

The leading coefficient

This is the coefficient of the term that has highest power of x

So, the leading coefficient is 1

The name of the expression

The expression has 4 terms

So, the name is a polynomial

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the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

What is the system of equations?

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied in other words, the locations at which all of these equations intersect.

To find the cost of a mop and a broom, we can set up a system of equations using the information given:

Let x be the cost of a broom

Let y be the cost of a mop (which is $15 more than a broom)

From the problem, we know that:

y = x + 15 (since a mop costs $15 more than a broom)

5x + 7y = 855 (since 5 mops and 7 brooms cost a total of $855)

We can substitute the first equation into the second equation:

5x + 7(x + 15) = 855

5x + 7x + 105 = 855

12x = 750

x = 62.5

Hence, the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

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Answer:

-3

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer: 18.04347826086957

Step-by-step explanation: you could use a calculator too-

The length AB is 15.

What is length ?

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.

In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.

As it is a isosceles the two sides are equal

5x = 4x + 3

x = 3  

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Answer:

Yep!

Step-by-step explanation:

The statements that are always true regarding the diagram are:

i. m∠5 + m∠6 =180°

ii. m∠2 + m∠3 = m∠6

iii. m∠2 + m∠3 + m∠5 = 180°

A triangle is a 2 dimensional plane figure which is formed by three straight lines and has three interior angles. It has both interior and exterior angles. Some examples of a triangle are; isosceles, equilateral, scalene, right angled etc.

The interior angles of a triangle are the measure of the three internal angles of the triangle, while exterior angles are external to the interior angles of the triangle.

Note that; the exterior angle of a triangle is equal to the sum of the two adjacent interior angles.

Therefore considering the given diagram, the required statements that are always true regarding the diagram are:

i. m∠5 + m∠6 =180°

ii. m∠2 + m∠3 = m∠6

iii. m∠2 + m∠3 + m∠5 = 180°

A sketch of the diagram is herewith attached to this answer for clarity.

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Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

542 miles

Step-by-step explanation:

65 miles/hour x 4.5 hours = 297 miles for the first part

70 miles/hour x 3.5 hours = 245 miles for the second part

297 + 245 = 542 miles

Answer:

w = 15

Step-by-step explanation:

p = 2l + 2w

76 = 2(5x - 2) + 2(3x)

76 = (10x - 4) + (6x)

Combine like terms

76 = 16x - 4

add 4 to both sides

80 = 16x

Divide both sides by 16

5 = x

x = 5

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

width

w = 3x

w = 3(5)

w = 15

Answer:

th chicken

Step-by-step explanation:

Answer:

0.001

Step-by-step explanation:

i hope this helps :)

Answer: 0.001

Because the numerator and denominator both have 4 as a term, they can cancel each other out. This leaves the fraction as [tex]\frac{10^{-6} }{10^{-3} }[/tex]. When dividing terms with exponents, the exponents should be subtracted. -6-(-3)=-3. Because the term is [tex]10^{-3}[/tex], it needs to be changed into a fraction, so the exponent is positive. This would equal [tex]\frac{1}{10^{3} }[/tex]. This equals 1/1000, which is 0.001.

Answer:

(2 , -2)

Step-by-step explanation:

L (4 , 2) -> (4-2 , 2-4) -> (2 , -2)

Answer: $133.10.

Step-by-step explanation:

Answer:

To calculate the monthly payment for a loan, you can use the following formula:

Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))

In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:

Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))

Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Answer:

66 is the correct answer

Step-by-step explanation:

when 7(12)+3(-6)

= 84+(-18)

66

The measure of convex arc upper Z is 243⁰ Option D

We should be aware that a convex angle is the angles that are irregular in nature

Assume that  the radius of the given circle is r.

The central angle of the lower arc ZWX = 41+180 = 221⁰

Note that then central angle of the upper arc ZWX = 360- 221⁰

This implies that the central angle of the upper arc ZWX = 360-221 = 139⁰

Recall that Lenght of arc = A/360 *2*π*r

Where A is the angle made by the radii, r= radius of the circle

Arc length of upper ZWX:

Arc length of upper ZWX = 139π/180*r

Arc length of upper ZWX = 139πr/180

The lenght is (139*22)/ 180*7

= 3058/2360

= 245⁰

In conclusion the measure of the convex upper is 245⁰

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