Factor completely, then place the answer in the proper location on the grid. 49x 2 + 42xy + 9y 2

Answer:

y = -2x + 3

Step-by-step explanation:

The three is the y-intercept, so when x=0, y will equal 3. (0,3)

The slope is negative (-2x), because the minus is present infront of x. So the line's going down.

And we can confirm that it's the function

y = -2x + 3 by letting one point in the line from the graph enter the function.

For example (1,1)

1 = -2x + 3. (let y = 1.)

1 = -2(1) + 3 (let x = 1)

1 = 1

so we can see when we let 1 = -2(1) + 3 it equals the y value on the line.

Answer:

Step-by-step explanation:

y= -2x + 3

Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

From this problem, you get quite a handful of information.

The variable "m" represents the # of magazines Hugh bought.

The variable "b" represents the # of books Hugh bought.

One magazine [m] cost $3.95

One book [b] cost $8.95

The total cost of books and magazines is $47.65

Based on the information, you can create an equation with two variables, representing the total cost and how many of each magazine and book Hugh bought.

If one magazine cost $3.95, the amount of money he spent on magazines can be represented by 3.95m.

If one book cost $8.95, the amount of money he spent of magazines can be represented by 8.95b.

And lastly, if the total cost of magazines and books Hugh bought is $47.65, the following equation can be made:

3.95m + 8.95b = 47.65

So, "3.95m + 8.95b = 47.65" is the correct equation. I hope this helps! :)

Answer:

P(A given B) = 3/4

Step-by-step explanation:

As we know that it is conditional probability, where the probability of an event depends on the event that has certain probability of occurrence.

The formula for conditional probability is:

P(A given B) = P(A ∩B) / P(B)

Where a and B are events. The probability of event B is known and we also know probability of A∩B

So, putting the values in the formula:

[tex]P(A\ given\ B) = \frac{P(A and B)}{P(B)}\\= \frac{\frac{3}{10} }{\frac{2}{5} } \\=\frac{3}{10} *\frac{5}{2}\\=\frac{3}{4}[/tex]

So, the probability of A given B is 3/4 ..

Answer:

hypotenuse is always opposite the right angle and it is always the longest side of the triangle

Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c² example 3, 4, 5).

volume occupies a three dimensional space. Distance is measured in one unit of length

Step-by-step explanation:

Answer:

5.545

Step-by-step explanation:

place them in order

3.44, 5.0, 6.09, 8.74

since there are four numbers you add the middle two together and divide in half.

5.545

Median means middle. You must find the middle of this set of data. To do this you must first order the data from least to greatest:

3.44, 5.0, 6.09, 8.74

Now on each "level" remove the largest and the smallest number until you get to the middle number(s)

3.44, 5.0, 6.09, 8.74

         5.0, 6.09

Since there isn't exactly one number in the middle you must take the mean (average) of the two numbers left. To do this you must add the remaining numbers, 5.0 and 6.09, together then divide by 2

5.0 + 6.09 = 11.09

11.09 ÷ 2 = 5.545

The mean of this data set is 5.545

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x=0.73

Step-by-step explanation:

(+16) 2x^2+12x-16= -3(+16)

2x^2+12x=13/12

2x^2= 1.08/2

x^2=.54

sqrt x^2=.54

x=0.73

Answer:

[tex]x_1=-6.9\\x_2=0.9[/tex]

Step-by-step explanation:

The first step is to move all the terms from the right side to the left side of the equation and then add the like terms:

[tex]2x^2+12x-16=-3\\\\2x^2+12x-16+3=0\\\\2x^2+12x-13=0[/tex]

Now we can apply the Quadratic formula. This is:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

In this case we can identify that:

[tex]a=2\\b=12\\c=-13[/tex]

Finally, we must substitute these values into the Quadratic formula. Then we get:

[tex]x=\frac{-12\±\sqrt{((12)^2-4(2)(-13)}}{2(2)}[/tex]

[tex]x_1=-6.9\\x_2=0.9[/tex]

Answer:

8 candy bars

Step-by-step explanation:

Transform the question to an equation:

3 + 2x = 19

Solve:

2x = 16

x = 8

Check the answer:

3 + 2 (8) = 19

3 + 16 = 19

True

Hello There!

A magazine costs $3 and some candy bars. Let’s represent the number of candy bars as “X”

19-3=16 so that’s how much money is spent on candy bars.

If $16 is spent on candy bars then 8 candy bars were bought.

The probability that a dessert chosen at random contains nuts given that it contains chocolate is 17.3%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a dessert chosen at random contains nuts and chocolate - 75% x 23% = 17.3%

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The conditional probability that a dessert contains nuts given that it contains chocolate is approximately 30.7%, calculated by dividing the probability of both events occurring by the probability of the condition (chocolate presence).

The student is asking for the conditional probability that a dessert contains nuts given that it contains chocolate. Since we are given that the probability a dessert contains chocolate (P(C)) is 75%, and the probability that a dessert contains both chocolate and nuts (P(C AND N)) is 23%, we can find the conditional probability (P(N|C)) by dividing the probability of the joint event by the probability of the condition:

P(N|C) =  P(C AND N) / P(C)

P(N|C) = 0.23 / 0.75

P(N|C) = 0.3067

Therefore, the probability that a dessert chosen at random contains nuts given that it contains chocolate is about 30.7% when rounded to the nearest tenth of a percent.

Answer:

f(-2)=3

Step-by-step explanation:

we know that

f(-2) is the value of the function f(x) for the value of x equal to -2

so

Observing the graph

For x=-2

f(-2)=3

The result is found by substituting -2 into the equation of the function. Using the provided line of best fit equation, we find f(-2) to be approximately -3207.324, but this is just an approximation.

To find f(-2) using the given equations, we first identify the equation associated with the given function, which in this case, is not explicitly provided in the given information. By convention, the general format for a linear function is y=f(x). The value is found by substituting the value of x into the equation and solving for y.

However, since the equation of the function isn't provided but we have details about the line of best fit, we could use that if it closely represents the graph of our function. In the case of the line of best fit given as ŷ = −3204 + 1.662x, we simply plug in -2 for x:

ŷ = -3204 + 1.662*(-2) = -3204 - 3.324 = -3207.324

So, if we were using this line of best fit as a representation for our function f(x), then f(-2) would be approximately -3207.324. Always remember though, that the line of best fit is an approximation and the real value might slightly differ based on the actual function.

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Answer:

The pair of sneakers cost 80 dollars.

The sweatshirt costs 40 dollars.

Step-by-step explanation:

Let x represent the pair of sneakers

Let y represent the sweatshirt

x + y = 120

The sweatshirt costs one-half the price of sneakers, which is represented by:

y = 1/2(x)

Use the substitution method

x + y = 120

x + 1/2(x) = 120

Multiply the equation by 2

2x + x = 240

3x = 240

x = 80

The cost of the sneakers is 80 dollars

To determine the cost of the sweatshirt subtract 120 by 80/

120 - 80 = 40

The cost of the sweatshirt is 40 dollars

Answer:

[-2, ⅑], [-1, ⅓], [0, 1], [1, 3], [2, 9]...

Step-by-step explanation:

You are simply creating an x-y value value chart and simply plugging in integers for "x" to get your "y".

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]lef=12ft,\ leg=35ft,\ hypotenuse=AB[/tex]

Substitute:

[tex]AB^2=12^2+35^2\\\\AB^2=144+1225\\\\AB^2=1369\to AB=\sqrt{1369}\\\\AB=37[/tex]

Answer: 28.27

Step-by-step explanation:

A=3.14r^2

A=3.14•3^2

A=3.14•9

A=28.27

Answer: a = 28.3 m²

Step-by-step explanation:

a = πr²

a = π3²

a = 28.3 m²

(pls mark me brainliest)

Add the cost of the three items:

8 + 5 + 15 = $28

Subtract that amount from the total:

29.82 - 28 = $1.82 ( amount he paid in tax)

Divide the tax amount by the cost of the items:

1.82 / 28 = 0.065

Multiply that by 100:

0.065 x 100 = 6.5% sales tax rate

Answer:

532

Step-by-step explanation:

To make the right hand side as large as possible, the numerator must be as large as possible and the denominator must be as small as possible.  But we can only use each digit once.

Through trial and error:

(9 × 8 + 4) / (1 − 6 ÷ 7) = 532

532 is the largest possible three digit that can be obtained on the right side of equation.

What is PEMDAS?

PEMDAS is short form of parentheses, exponents, multiplication , division, addition and subtraction.

To get the the largest possible three digit from given condition, we have to make the denominator as small as possible by using subtraction and division. And we can increase the numerator.

Now, through trial and error method

we have (9 * 8 + 4) / ( 1 - 6 / 7 ) = 76 * 7 = 532

Hence 532 is the largest possible three digit that can be obtained on the right side of equation.

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Answer:

9.47

Step-by-step explanation:

Answer:

The first glass

Step-by-step explanation:

I believe that first, you must find the ratio of lemonade to water in each glass.

[Remember that you can write a ratio in 3 ways (assume that x and y are numbers):

x : y

x / y

x  to  y

Now, our first glass of lemonade can be written as 5/8. If you were to write 5/8 as a decimal, you'd get 0.625.

Now, our second glass of lemonade can be written as 3/7. If you were to write 3/7 as a decimal, you'd get 0.428 (I rounded it to the nearest thousandth.)

0.625 > 0.428

0.625 is greater than 0.428, so therefore, the first glass had a stronger lemon flavor.

I hope this helps! :)

Step-by-step explanation:

The first glass has a total volume of 5 oz + 8 oz = 13 oz.  Of the 13 oz, 5 oz is lemon juice, so the fraction of lemon is 5/13.

The second glass has a total volume of 3 oz + 7 oz = 10 oz.  Of the 10 oz, 3 oz is lemon juice, so the fraction of lemon is 3/10.

We need to compare these fractions.  To do that, we need to find the common denominator.  In this case, 10×13 = 130.

5/13 = 50/130

3/10 = 39/130

So the first glass has the stronger lemon flavor.

Answer:

D. 1.25

Step-by-step explanation:

The values of the correlation coefficient must be between -1 and 1 (they can include -1 and 1)

The only value outside that range is 1.25

1.25 is not a possible correlation coefficient

Answer:

Factors of the constant term

Step-by-step explanation:

A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all factors of the constant term.

The correct option is (2).

The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.

Given statement is:

A polynomial, P, has a leading coefficient of one and a constant term. The rational roots of P are all

We know by Rational Zeros Theorem states:

If P(x) is a polynomial with integer coefficients and if is a zero of P(x)

(P( ) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).

So, from the above statement it is clear that p is a factor of the constant term.

Hence,  The rational roots of P are all factors of the constant term.

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Answer:

Obtuse

Step-by-step explanation:

An angle that measures between 90 and 180° is called an obtuse angle.

It must be above 90 degrees and below 180 degrees to be obtuse

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

3:1

Step-by-step explanation:

The probability of winning is

P(win) = 1/4 = winning/ total

1 win

4 total

total - wins = losses

4-1 = 3

There are 3 losses

To find the odds against winning is finding the odds of losing

We need to compare losing to not losing

3:1

Step-by-step answer:

Percentage difference = (new value-old value)/old value*100%

=(56-45)/45*100%

=11/45%100%

= 24.4%

Answer: 24

Step-by-step explanation:

its just 24 have the same question ^^

Answer:

Inverse property of addition.

1 represents they are scheduled to work the 9am-3pm shift

2 represents they are scheduled to work the 3pm - 9pm shift

0 represents they are not scheduled to work that day

[tex]\begin{array}{c||c|c|c|c|c|c|c}&Mon&Tue&Wed&Thu&Fri&Sat&Sun\\Employee\ 1&1&1&1&1&0&0&1\\Employee\ 2&0&2&2&2&2&2&0\\Employee\ 3&2&0&0&0&1&1&2\end{array}[/tex]

Employees 1 & 2 will work 30 hours and have 2 days off in a row

Employee 3 will work 24 hours and have 3 days off in a row

Not enough information, please attach a photo next time.

Answer:

[tex]\large\boxed{(f-g)(x)=6x^2-2x-6}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=6x^2-4,\ g(x)=2x+2\\\\\text{substitute:}\\\\(f-g)(x)=(6x^2-4)-(2x+2)\\\\=6x^2-4-2x-2\qquad\text{combine like terms}\\\\=6x^2-2x+(-4-2)\\\\=6x^2-2x-6[/tex]

Answer:

6x^2-2x-6 don't listen to these words it has to be 20 characters long

Answer:

d) 6

Step-by-step explanation:

you multiply 3 by 6 because the reciprocal of 1/6 is 6/1

Answer: Last option.

Step-by-step explanation:

When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.

To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.

Then, the reciprocal of the fraction [tex]\frac{1}{6}[/tex] is:

 [tex]\frac{6}{1}=6[/tex]

Therefore, you can find the quotient of [tex]3[/tex]÷[tex]\frac{1}{6}[/tex]  by multiplying 3 by 6:

[tex]3[/tex]÷[tex]\frac{1}{6}=3*6=18[/tex]

Answer:

There is no number when substituted for x that will make the statement true.

Step-by-step explanation:

First you would simplify the left side:

6x + 8x= 14x

14x=10x

This statement isnt true no matter what you plug in the sides will never be equal

Answer: If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

Step-by-step explanation

pennfoster