One number is 2 more than 4 times another. The sum of the numbers is 7 . Find the two numbers.

The value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

The quadratic equation is given as:

–3 = –x^2 + 2x

Rewrite the equation as:

x^2 - 2x - 3 = 0

A quadratic equation is represented as;

ax^2 + bx + c = 0

So, we have

a = 1

b = -2

c = -3

The discriminant is

d = b^2 - 4ac

So, we have

d = (-2)^2 - 4 * 1 * -3

Evaluate

d = 16

Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

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Answer:

16

Step-by-step explanation:

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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sec(theta) = 1/cos(theta)

I believe that is your option D

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

\(\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334\)

Answer:

para de ser joto cuhhhhhhhhhhhhh

Step-by-step explanation:

ok ok ok so no sabo

Answer:

2 Liters $2.54??

Step-by-step explanation:

0.353 Liters one can = $2.73

$2.73 > $2.54

0.353L < 2L

Answer:

To determine which drink is a better deal, we need to compare the cost per liter of each option.

Option 1: 2 liters for $2.54

Cost per liter = $2.54 ÷ 2 = $1.27 per liter

Option 2: 0.353 liters per can for $2.73

First, we need to convert the volume to liters:

0.353 liters/can × (1 can/0.353 liters) = 1 liter/can

So, each can contains 1 liter of the drink.

Cost per liter = $2.73 ÷ 1 liter = $2.73 per liter

Comparing the cost per liter of each option, we can see that Option 1 is the better deal, as it costs only $1.27 per liter compared to $2.73 per liter for Option 2. This means that Option 1 provides more value for money and is a more cost-effective choice. Therefore, if we are comparing the two options solely based on cost, we should choose the 2-liter bottle for $2.54.

Answer:

8

Step-by-step explanation:

The average number of students who are afraid of spiders and snakes is 15. (Option C).

To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).

Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2

Given the information:

Number of students afraid of spiders = 18

Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)

Average = (18 + 12) / 2 = 30 / 2 = 15

So, the average number of students who are afraid of spiders and snakes is 15.

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(a) The maximum combination of X and Y is (10, 15).

(b). The new maximum combination of X and Y is (12, 18).

(c). The new maximum combination of X and Y is (20, 15).

To draw the budget line, we need to determine the different combinations of goods X and Y that can be bought within the given budget.

The budget line represents all the possible combinations of X and Y that can be purchased with G¢60.

Let's assume the quantity of good X is represented on the x-axis and the quantity of good Y is represented on the y-axis.

The combinations, we can start with the maximum quantity of each good that can be purchased with the given budget.

Given that the price of X is GH¢6 and the price of Y is GH¢4, we can calculate:

Maximum quantity of X = G¢60 / GH¢6 = 10

Maximum quantity of Y = G¢60 / GH¢4 = 15

Now, we can plot the budget line connecting this point with the origin (0, 0).

The budget line represents all the combinations of X and Y that can be purchased with G¢60.

    |

 15 +---------------------

    |

    |

    |

 10 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  5 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    5     10     15    X

(b) If the budget is increased by 20%, the new budget will be 120% of the original budget.

New budget = 120% of G¢60 = 1.2 × G¢60

= G¢72

To draw the new budget line, we repeat the steps from part (a) using the new budget of G¢72.

Maximum quantity of X = G¢72 / GH¢6 = 12

Maximum quantity of Y = G¢72 / GH¢4 = 18

Plotting the new budget line:

    |

 18 +---------------------

    |

    |

    |

 12 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  6 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    6     12     18    X

(c) If the price of X is halved, the new price of X will be GH¢6 / 2 = GH¢3.

To draw the new budget line, we keep the budget and the price of Y the same as in the original scenario.

Only the price of X changes.

Maximum quantity of X = G¢60 / GH¢3 = 20

Maximum quantity of Y = G¢60 / GH¢4 = 15

Plotting the new budget line:

    |

 15 +---------------------

    |

    |

    |

 20 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  5 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    5     10     15    X

Note that the slope of the budget line changes in both cases, reflecting the changes in the budget and the price of X.

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Answer:

-1 and 3

Step-by-step explanation:

The roots of the quadratic function can be determined by \(f(x')=0\) where x' is the roots of the quadratic function. In that graph, x = -1 and x = 3 makes the value of f(-1) = 0 and f(3) = 0. So, x = -1 and x = 3 are the roots of the f(x).

Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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Answer:

$6750...............

SI = P*R*T/100

SI = 6000*2.5*5/100

SI= $750

amount= P+SI

Amount= 6000+750

Amount= $6750

Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Using the formula provided:

Where:

So, solve for s:

Answer:

s = 398107

Answer:

1 Hour and 8 Minutes (If she left at 9:13 AM)

13 hours and 8 Minutes (If she left at 9:13 PM)

Step-by-step explanation:

You can figure this out by simply starting out with 8:05 AM and adding an hour to it. That starts you off with 9:05. From there you can count the remainder of the 8 minutes and use it to get your answer, 1 hour and 8 Minutes.

(For the unlikely chance she left her house at 9:13 pm, you do the same thing but instead of adding one hour you add 12, and then add the 1 hour and 8 minutes to get your answer of 13 hours and 8 minutes.)

Answer:

3/2

-4

Step-by-step explanation:

y = mx + c

m = slope = y2 - y1 / x2 - x1

= -4 -2 / 0 - 4

= -6/-4

= 3/2

c = y intercept

y when x = 0

c = -4

Answer:

\(y = \frac{2 - ( - 4)}{4 - 0}x - 4 \\ y = \frac{6}{4} x - 4 \\ y = \frac{3}{2} x - 4 \\ \)

Answer:

The answer is B

Step-by-step explanation:

[-6,2]

The solution to the inequality is [–6, 2]. Then the correct answer is option B.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality is solved as:-

x⁴ + 4x³ ≤ 12x²

x² ( x² + 4x ) ≤ 12x²

x² + 4x ≤ 12

x² + 4x - 12 ≤ 0

x² + 6x - 2x + 12 ≤ 0

Equate the factors to zero.

( x + 6 ) ( x - 2 ) = 0

x =( -6 , 2 )

Hence, the solution is x = ( -6, 2 ).

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Answer:

3rd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \(\frac{5}{3}\) and c = - 3 , then

y = - \(\frac{5}{3}\) x - 3 ← equation of line

Answer:

70

Step-by-step explanation:

The 7 is in the 10s place so its value would be 70

The 7 is in the tens place, so it represents 70

1379 = 1000 + 300 + 70 + 9

1379 = 1*1000 + 3*100 + 7*10 + 9*1

1379 = 1*10^3 + 3*10^2 + 7*10^1 + 9*10^0

Answer:

the answer is 162.5

Step-by-step explanation:

The amount that the plumber will charge the client is $32.5

From the question, we are told that a  plumber charges 1/4 of the cost of materials as a labor fee.

Given the following

Cost of material = $130

Amount charge per client = 1/4 of cost of material

Amount charge per client = 1/4 * 130

Amount charge per client = 130/4 = $32.5

Hence the amount that the plumber will charge the client is $32.5

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Answer:

Step-by-step explanation:

To find the coterminal angle with 887, we can add or subtract any multiple of 360°.

Adding a multiple of 360°:

887 + n(360)

where n is an integer.

Subtracting a multiple of 360°:

887 - n(360)

where n is an integer.

To find the angle between -0° and -36°, we need to subtract a multiple of 360° from 887 to get an angle between -0° and -36°.

887 - n(360) = -x

where x is the angle between -0° and -36°.

We can solve for x:

x = 887 - n(360)

We want x to be negative, so we need to choose a value of n such that 887 - n(360) is less than 0.

If we set n = 3, then:

x = 887 - 3(360) = 47

So, the angle between -0° and -36° that is coterminal with 887 is 47 degrees.

Check the picture below.

The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

Answer: This below

Step-by-step explanation:

Should we start with the science or the politics? Let’s start with politics, since that gets us on track to answer the first part of the question. Because speed limits are enforceable laws, they are set by elected officials. At the state level, RCW 46.61.400 defines the speed limits for city streets at 25 mph, county roads at 50 mph and freeways at 60 mph. However, the next few sections of the RCW specify situations where state and local officials can adjust speed limits as appropriate.

In Whatcom County, for example, our statutory speed on county roads is 35 mph. For our local roads, the elected officials with authority to change speed limits are the members of a city or county council, which, if I recall correctly from my high school civics class, make up the legislative branch of our local government. I just point this out for the folks who feel the need to criticize a speed limit during the issuance of a speeding ticket. The police are part of the executive branch: They enforce the laws, but they don’t get to make them. As part of issuing a ticket, the officer will give the offender an opportunity to have a day in court, our judicial branch, and - ta da! — we’ve included all three branches of government in this article.

Answer:

41.4 km per week (rounded)

also:

haha mother joke