The LCM of 700 and N, is 2^2x3x5^2x7^2.
Find the lowest possible value for N.

The quadratic function in the standard form containing the point (-7, 5) and vertex (1, 9) is y = (-1/16)(x - 1)² + 9.

The vertex form of a quadratic function with vertex (h, k) is written as

y = a(x - h)² + k, where (x, y) denotes a point on the parabola. Real integers a, h, and k are also included.

Given:

Point (x, y) = (-7, 5)  

Vertex (h,k) = (1, 9)

The general equation of quadratic function in vertex form is:

 y = a(x - h)² + k

To solve for a, substitute the given point (x,y) = (-7,5) into the equation.

5 = a(-7 - 1)² + 9

a(-8)² = -4

a = -4 /64

a = -1/16

Therefore, the required quadratic function is,

 y = (-1/16)(x - 1)² + 9

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The algebraic representation of the expression "subtract the quotiet of 70 divided by 2 from 60" is 60 - 70/2" which gives the result 25

the quotiet of 70 divided by 2

= 70/2

subtract the quotiet of 70 divided by 2 from 60

= 60 - 70/2

= 60 - 35

= 25

In conclusion, the result of the expression "subtract the quotiet of 70 divided by 2 from 60" is 25

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Answer: no

Step-by-step explanation:

t^2/t^4  is 1/t^2 which is not t^2

Answer:

2x + 7y

Step-by-step explanation:

3x + 5y - x + 2y ← collect like terms

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

= 2x + 7y

By Simplifying 3x + 5y - x + 2y, we get 2x + 7y

More Explanation

The simplification here follows the basic method of addition and subtraction in algebra.

Given : 3x + 5y - x + 2y

Step 1: align the numbers with similar variables.

Therefore, we get, 3x - x + 5y + 2y

Step 2: Solve by addition and subtraction.

Therefore, we get, 2x + 7y

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For the function x³ - 6x² + 11x - 6, we have that:

a) The x-intercepts are: x = 1, x = 2, x = 3.

b) The y-intercept is of y = -6, while the end behavior is that it decreases to the left and increases to the right.

The function is given as follows:

f(x) =  x³ - 6x² + 11x - 6

x - 3 is a factor of the function, meaning that x = 3 is a x-intercept and the function can be written as follows:

x³ - 6x² + 11x - 6 = (x - 3)(ax² + bx + c)

Then we have to build a system of equations to find the coefficients as follows:

x³ - 6x² + 11x - 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c.

Then the coefficients are given as follows:

Then the factor is given by:

x² - 3x + 2.

Hence the other intercepts of the polynomial are found when:

x² - 3x + 2 = 0

(x - 2)(x - 1) = 0.

x - 2 = 0 -> x = 2.

x - 1 = 0 -> x = 1.

The y-intercept is the value of f(x) when x = 0, that is, f(0), hence:

f(0) = 0³ - 6(0)² + 11(0) - 6 = -6.

For the end behavior, we need to find the limits as x goes to infinity, hence:

When the limit goes to infinity, we consider only the term with the highest exponent of the polynomial.

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Answer:

3

Step-by-step explanation:

(21-15)/2

6/2

= 3

......

Answer:

3

Step-by-step explanation:

substitute the numbers into the equation Q= (21-15)/2

you then start with the numbers within the parathesis: 21 - 15 = 6

then divide it by 2: 6/2 = 3

answer: Q = 3

7-(-4) is 4 units from 7 in the negative direction. See the explanation and the linear scale attached.

The direction being referred to is the direction of the number on a numerical scale or Linear Scale.

In the attached linear scale, we can see that the arrow stops at 11. This is arrived at by expanding the bracket:

7 - (-4)

the subtraction signs cancel out each other creating a positive sign. Hence we have:

7 + 4

= 11.

Hence, 11 is 4 units away from 7 in the negative direction. That is going toward zero is negative or a reduction hence, to get to 7 you need to go toward the negative section of the scale.

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3x+x+(x+12)=152

<AOD =<COB(VERTICAL OPPOSITE ANGLES)

[tex]5x+12=152\\5x=152-12\\5x=140\\\frac{5x}{5} =\frac{140}{5} \\x=28[/tex]

x=28°

be reminded that <COB IS MADE OF ALOT OF BRANCH ANGLES THAT WE HAD TO ADD TO GET IT

i.e <COE,<EOF AND <FOB

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. 

Answer:  [tex]\text{y} \ge 2[/tex]

Reason:

The lowest point on the graph occurs when y = 2. This is a closed endpoint so it's included with the graph. So either y = 2 or y > 2, both of which combine to get the answer shown above.

2 teaspoon of cinnamon need if he uses 3 cups of yogurt

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio describes how one group compares to another. For instance, five people enjoy reading books out of every ten persons. Since the ratio of the component to the total is 5:10, 5 out of every 10 persons enjoy reading.

Given that :Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup

of yogurt.

[tex]0.5 : 0.75 = x : 3[/tex]

x = 2

2 teaspoon of cinnamon need if he uses 3 cups of yogurt

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Answer:

- 4° F

Step-by-step explanation:

substitute C = - 20 into the formula

F = ([tex]\frac{9}{5}[/tex] × - 20 ) + 32 = (9 × - 4) + 32 = - 36 + 32 = - 4° F

Answer: y=-4x+30

Step-by-step explanation: put into point slope form y-y1=m(x-x1). M is out slope with the given point (7,2) 7 is out x and 2 is our y. Give us y-2=-4(x-7) once done distribute yo get y-2=-4x+28. Add the 2 from the left to the right. to get y=-4x+30

Answer:

Because these probabilities are independent, the friend was supposed to multiply them, not add them. So the probability of rain this weekend is

.35 × .65, or .2275, meaning that the probability of rain this weekend is 22.75%

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots.  you  disagree with Katies statement because the function has four real roots

Katie is studying the polynomial  and determines the polynomial has three real roots. Do you agree or disagree with Katie's statement? Explain your reasoning.

the complete question is

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots. Do you agree or disagree with Katies statement? Explain your reasoning.

Write properties of function:

x intercept/zero: [tex]x_{1}[/tex] = 3/2 ; [tex]x_{2}[/tex] = 4 ; [tex]x_{3}[/tex] = -[tex]\sqrt{3}[/tex] ;  [tex]x_{4}[/tex] = [tex]\sqrt{3}[/tex]

Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots.  you  disagree with Katies statement because the function has four real roots

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Answer: depends how many you have with you

Step-by-step explanation:

does not matter how many you have

Answer: the second one

Step-by-step explanation:

commutative is like

A+b=b+A

So 4+(-6)=-6+4

Which is like 4-6=-6+4

Answer:

1 to 100,000

Step-by-step explanation:

There are 100,000 cm in a km

Answer:

d

Step-by-step explanation:

Pythagorean theorem : a2 + b2 = c2

Here, ‘a’ is the vertical side i.e. wall

‘b’ is the base side i.e. bottom = 5 m

‘c’ is the hypotenuse i.e. the ladder = 10 m

If b = 5 m, c = 10 m

Then, a2 = c2 - b2 = (10 x 10) - (5 x 5) = 75

a = √75 = 8.66 m

The the top of the ladder is at 8.66 m.

Answer:

3528

Step-by-step explanation:

35280 divided by 10 is 3528. To check your work, multiply 3528 by 10. The answer is 35280.

Hope this helps! :)

56x raise to power minus 4 divided by 14x raise to power minus 8​ has its answer calculated as 4[tex]x^2[/tex] by solving through formulas of exponents and powers.

A mark placed exactly or right above a mathematical equation or a numeral that helps to denote the action of raising to a power of something.

Exponent is also defined as one of the methods of expressing many large numbers in terms of powers. This means that exponent refers to how many times a single number or an equation is multiplied by itself.

The statement 56x raise to power minus 4 divided by 14x raise to power minus 8​ can be simplified in equational terms as

[tex]\frac{56x^-{4}}{14x^{-8}}[/tex]

which can be further simplified as [tex]4x^{4}[/tex]

Exponentiation is a type of mathematical operation that can be written as bⁿ, involving two numbers. The base b and then the exponent or power n is included in it and pronounced as "b to the power n".

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The values of k for which the line y = 2x + k + 2 cuts the curve y = 2x² + (k + 2) + 8 at two distinct points are; k > -12 or k < 4

We are given the equation of the line as;

y = 2x + k + 2

Equation of the curve is;

y = 2x² + (k + 2) + 8

Now, to find the the values of k for which the line y = 2x + k + 2 cuts the curve y = 2x² + (k + 2) + 8 at two distinct points, we will just equate both equations to get;

2x + k + 2 =  2x² + (k + 2) + 8

2x + k + 2 =  2x² + kx + 2x + 8

2x² + kx + (-k + 6) = 0

Now, Two distinct solutions is the same as having a positive discriminant.

b² - 4ac > 0

k² - 4(2 * (-k + 6)) > 0

k²  + 8k - 48 > 0

Solving using quadratic equation calculator gives;

k > -12 or k < 4

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The equation that can be used to get the number of men if the total number of people who attended was 2400 is x + 3x + x + 240 = 2400.

It should be noted that from the information given, in the health camp the number of children was three times the number of men and the number of men was 240 less than the number of women.

Number of men = x

Number of children = 3x

Number of women = x + 240

Total number of people = 2400

The appropriate equation will be:

x + 3x + x + 240 = 2400

5x + 240 = 2400

Collect like terms

5x = 2400 - 240

5x = 2160

Divide

x = 2160 / 5

x =432

Therefore, the total number of men is 432 men.

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Answer:

51

Step-by-step explanation:

I may have made a mistake somewhere along the way but if not then it is 51 gallons.

The way i did this was to multiply 20 minutes by 3 to equal an hour, then multiply that by 24 to equal a day, then multiply that by 365 to equal a year.

That gives you the numbers you need to multiply the ounce by. So first multiply 1/4 by 3 to get 3/4. Next you multiply 3/4 by 24 to get 72/4 or 18. Then you multiply 18 by 365 to get 6570 ounces in a year. Finally you translate that to gallons and you get 51.328125, which rounds down to 51.

Alsooo, i wouldnt mind a good old brainliest if im correct :)

FOR A RECIPROCAL OF FRACTION WE SWAP POSITIONS. WHATEVER WAS IN THE NUMERATOR BECOMES THE DENOMINATOR AND WHAT WAS IN THE DENOMINATOR BECOMES THE NUMERATOR.

THIS MEANS THAT AS A RESULTS WE HAVE

[tex] \frac{b}{b - 1} [/tex]

ATTACHED IS THE SOLUTION.

Cost of one hot dog is and potato chips is

As per the given problem a customer buys 3 hot dogs and 3 bags of potato chips for $8.25. we have to find the cost of each item.

let price of one hot dog is x nd price of potato chips is y.

Formulating the Equation we get

3x+3y=$8.25

another customer buys 5 hot dogs and 3 bags of potato chips for $11.25.

Formulting the Equation we get

5x+3y=$11.25.

we get two linear equation with two unknowns.

solving both equation we get $8.25-3x=$11.25-5x

or 2x=$3

x=$1.5

y=$1.25

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The value of the exponential expressions is 9. Option 1

An algebraic expression can be defined as an expression that is composed of coefficients, variables, terms, constants, and also factors.

These expressions may also consist of arithmetic or mathematical operations such as;

Given the exponential expression as;

(y³/xy²)²

For when x = 2 and y = 6

We have to substitute the value into the expression, we have;

{(6³/(2)(6)²)}

Find the cube and square of the values, we have;

{ 216/2(36) }²

expand the bracket

{ 216/72}²

Find the quotient

{3}²

Find the square

9

Hence, the value is 9

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Answer:

true

Step-by-step explanation:

when unlike terms are added, they cannot be "combined".

examples of unlike terms: [tex]2x +3[/tex] and [tex]5y - 2[/tex] and [tex]6y^2 - 4x^2[/tex]

[tex]5x^2 and -9x^2[/tex] are like terms because they both contain the variable x and have an exponent of 2.

Answer: 9,800

Step-by-step explanation:

She should save 9,800 yearly.

2/10 = 20/100 ; 20%

20% = 0.2

0.2 x 49,000

(which is 20% of 49,000)

= $9,800