I’m not really sure I’m how to approach and solve this problem please help

The presence of the coefficient "a" in ax^2 + bx + c requires that we look for numbers that have a product of ac

Here we have to determine the difference

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

ax^2 + bx +c and x^2 + bx +c

The presence of the coefficient "a" in the first expression makes a difference in the factoring process.

When factoring x^2 + bx + c, we are looking for two numbers that multiply to give c and add up to b.

For ax^2 + bx +c , we look for the product of ac and sum of b

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The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Calculation of the ratio:

Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.

So here the ration be like

= 8 raspberries tablespoons to 6 tablespoons of sugar

= 8 to 6

hence, the second option is correct.

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Answer:

what's are the graphs??

Answer:

\(\angle 7=151\textdegree\)

Step-by-step explanation:

Note that ∠7 is the vertical angle to 151°.

Recall that vertical angles are congruent and thus have equivalent measures.

Hence, ∠7 is also 151°.

In conclusion, the measure of ∠7 is 151°.

Answer:

151°

Step-by-step explanation:

Angle 7 and the Angle that measures 151° are congruent and vertical angles.

This means they will be equal to the same angle measure.

Angle 7 = 151°

Best of Luck!

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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4/12 into decimal form is 0.3

Answer:

4/12 = 0.3333333333...

Step-by-step explanation:

The answer 0.3 is repeated

Hope it helps!

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer:

i dont think i have the facilities to do that honestly

Step-by-step explanation:

The most appropriate scale for graphing this data set. is (a) t ones and a fitties

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

The table of values

From the table of values, we have

x-values = t: This values are in units

y-values = a: These values can be approximated to fifties

Hence, the most appropriate scale is (a)

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Answer:

100

Step-by-step explanation:

10(-2.5) = -25 since negative times positive is negative.

-25(-4)=100 since negative times negative is positive.

Basically, the negative inverts the sign so a negative negates a positive yielding a negative while a negative negates a negative yielding a positive.

Think of it as not not vs not

Answer:

Step-by-step explanation:

A ratio is a comparison of two quantities, typically written in the form a:b or a/b. For example, a ratio of 2:3 represents a comparison of two quantities where the first quantity is 2 and the second quantity is 3.

The related rate of a ratio is the rate at which the ratio changes over time. For example, if the ratio of the number of apples to the number of oranges in a basket is 2:3, and the number of apples is increasing at a rate of 2 apples per minute, then the related rate of the ratio would be 2:3 per minute.

A unit rate is a special type of rate in which the denominator of the ratio is 1. For example, if the ratio of the number of apples to the number of oranges in a basket is 2:1, then the unit rate is 2 apples per orange. Unit rates are often used to compare quantities that are measured in different units.

Answer:

  (-1, 2) and (4, -8)

Step-by-step explanation:

You want the ordered pairs (x, f(x)) that satisfy both equations ...

Equating the two expressions for f(x), we have ...

  x² -5x -4 = -2x

  x² -3x -4 = 0

  (x -4)(x +1) = 0

  x = 4 or -1

Corresponding values of f(x) are ...

  f(x) = -2{4, -1} = {-8, 2}

Ordered pair solutions are ...

  (x, f(x)) = (-1, 2) and (4, -8)

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

\((x - x)^2 + (y-b)^2 = r^2\)

First we will find the centre, (a , b):

\(a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1\)

Find radius:

\(Radius, r = \frac{Diameter}{2}\)

Diameter is the distance between (-1, 4) and (3, -2)

\(diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\\)

             \(= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units\)

Therefore , \(r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units\)

Equation of the circle is :  

                                 \((x - 1)^2 +(y-1)^2 = 13\)

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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The error that Martell made in determining the scale factor was using point K and point A when they weren't similar points.

The process that Martell used to find the scale factor was correct, however, he should not have used points A and K because they are not similar sides in the triangles.

Point A is similar to point H while point D is similar to point K.

Using the similar points of A (4, 2 ) and H ( 6, 3 ), we find the scale factor to be:

= 6 / 4

= 1. 5

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Answer:

-118 at (-2, 6)

Step-by-step explanation:

See the attached image of the graph!  I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading!  The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon.  I put big red dots on the corner points.  Those points are:

(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)

Plug these coordinates into the expression P = 3x - 25y + 38  to get a value at each of the corner points.  Pick out the smallest value.

See the other attached image for those values.

Careful graphing is essential!

Part A

For part A we have to graph the functions using the values 0, 1, 2, 3 and 4. to fin this values for each function we have to substitute the value of x in the function, the resulting value is y. For the function x+1 we have.

For the first function we have to plot the points

This points are shown in the following picture

For the function 2x+1, we have the

then we have to plot the points (0,1), (1,3), (2,5), (3,7) and (4,9). Doing this in the same grid we would have:

Now we join the point to see what type of functions we have, hence

Now we are prepared to answer the questions.

Are the functions linear or nonlinear?

The functions are linear.

Do the functions have the same or different rates of change and inicial values?

The functions have the same inicial value but they don't have the same rate of change. (From the graphs we notice that they start in the same point but the black one (2x+1) has a bigger rate of change. Two linear functions have the same rate of change if and only if they are parallel)

How can you describe graphs of other pairs of linear functions with the same similarities and differences in the rates of changes and initial values?

In this case we see that the functions have the same form, that is

Since in this case the linear functions have the same initial value this means that the b should be equal for both pairs but since the rate of change is different, then the slope m has to be different. Therefore we can describe another pair of linear functions with the same similarities and differences like

Part B

We have to apply the same steps for the part B of the problem, but in this case the functions are y=x+3 and y=x+4.

For y=x+3 we have

Then we have to plot the points (0,3), (1,4), (2,5), (3,6), (4,7). This points are shown in the following picture:

With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

Answer:     x^2-xy-2x^2y+2xy^2+2x+2y over 2x(x - y)

Step-by-step explanation:

because im that guy

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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Answer: The probability of choosing an ace or a club is 16.

Step-by-step explanation:

9514 1404 393

Answer:

  A)  3 1/4

Step-by-step explanation:

Your calculator can help with this.

__

  3/4 + ((1/3)/(1/6)) -(-1/2)

  = 3/4 + ((2/6)/(1/6)) + 2/4

  = 5/4 + 2/1

  = 3 1/4

Q) 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2) = ?

→ 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2)

→ 3/4 + {(1/3) × (6/1)} - ( - 1/2)

→ 3/4 + 6/3 - ( - 1/2)

→ {(3/4) + (6/3)} + 1/2

→ 11/4 + 1/2

→ (11 + 2)/4 = 13/4

→ 3 1/4

Hence, option (A) is the answer.