[5] Evaluate 4x - 5 for x = 10 (A) 20 (B) 9 (C) 35 (D) 8​

Answer:

The equation has two zeros because the discriminant is greater than 0.

Step-by-step explanation:

3x^2 – 7x + 4

a=3   b = -7   c=4

The discriminant is

b^2 -4ac

(-7)^2 - 4(3)(4)

49 - 48

1

Since the discriminant is greater than zero, there are two real solutions

Answer:

The equation has two zeros because the discriminant is greater than 0.

Step-by-step explanation:

Answer:

\(MN = \sqrt{14\)

Step-by-step explanation:

Given

\(NO = 12\)

\(OP = 2.5\)

\(OQ = 4.5\)

Required

Find MN

First, we calculate QP using Pythagoras theorem

\(OQ^2 = OP^2 + QP^2\)

\(4.5^2 = 2.5^2 + QP^2\)

\(20.25 = 6.25 + QP^2\)

Collect like terms

\(QP^2 = 20.25 - 6.25\)

\(QP^2 = 14\)

Take square roots

\(QP = \sqrt{14\)

To solve MN, we have:

\(MN = OP\)

So:

\(MN = \sqrt{14\)

These the five sentence about the most important thing to learn about the software engineer career:

Software engineer is a branch of computer engineer science that mainly work to create, secure and manipulating a software. The career on this field mostly start from :

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The average speeds are 78 km/h and 84 km/h respectively

An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.

The equation for speed is:

Speed = distance / time

a) James drove for 1.5 hours at an average speed of x km/h and then 2.5 hours at an average speed of y km/h.

For distance 1:

x = distance 1 / 1.5

distance 1 = 1.5x

For distance 2:

y = distance 2 / 2.5

distance 2 = 2.5y

Total distance = distance 1 + distance 2

1.5x + 2.5y = 327

multiply through by 2:

3x + 5y = 654    (1)

b) Ryan drove for 4 hours at an average speed of x km/h and then 6 hours at an average speed of y km/h. He drove a total distance of 816 km

For distance 1:

x = distance 1 / 4

distance 1 = 4x

For distance 2:

y = distance 2 / 6

distance 2 = 6y

Total distance = distance 1 + distance 2

4x + 6y = 816     (2)

c) Solving equations 1 and 2 simultaneously:

x = 78; y = 84

The value of x and y are 78 and 84 respectively

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He walks 5/6 of a mile each day.

Multiply the distance each day by the number of days:

5/6 x 5

When multiplying a fraction by a whole number, multiply the numerator ( top number) by the whole number and leave the denominator ( bottom number as is)

5/6 x 5 = (5 x5)/6 = 25/6 now rewrite as a proper fraction:

25/6 = 4 1/6 total miles.

Answer:

4 1/6 miles over the course of 5 days

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. the missing lengths of HF is 4 and missing length PR =84.

What are Similar Triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Triangle QRS is similar to triangle FGH.

Let us find the length of unknown side.

By comparing the sides.

SR/QR=HF/HG

8/14 = x/7

Apply cross multiplication

14x = 56

Divide both sides by 14

x = 56/14

x = 4

HF = 4

8)

By properties of triangle we have

QP/BP=PR/PC

56/24= x/36

Apply cross multiplication

24x = 2016

Divide both sides by 24

x = 2016/24

x = 84

PR = 84

Hence the missing lengths of HF is 4 and missing length PR =84.

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Answer:

{-5, 4}

Step-by-step explanation:

Start by factoring f(x) = x^2 + x - 20.  Since 4*5 = 20, we suspect that the factors are (x + 5) and (x - 4).

Next, set these factors equal to zero separately and solve each resulting equation for x.  We get:

{-5, 4}

Answer:

See the picture attached. The purple line is y=3x+6 and the red line is y=3x+1.

Step-by-step explanation:

When graphing lines, start with the y-intercept and then use the slope to plot points to help you draw the line.

The equations are in y=mx+b form, where mx is the slope and b is the y-intercept. To get the points, plug in a number where x is. Whatever result you get is the y coordinate for that number.

For example, on the graph in the picture 3(1)+1 = 4. Using that, you would plot the point (1,7).

Hope that makes sense!

Answer:

=9*4r

=36r

Step-by-step explanation:

36r is the answer

Answer:

9 x r

9 x r

9 x r

9 x r

9r + 9r + 9r + 9r = 36r

The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

(- 2, 3 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Given

4x² + 4y² + 16x - 24y - 52 = 0 ( divide through by 4 )

x² + y² + 4x - 6y - 13 = 0 ← add 13 to both sides and rearrange terms on left side

x² + 4x + y² - 6y = 13

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 13 + 4 + 9

(x + 2)² + (y - 3)² = 26 ← in standard form

with centre (- 2, 3 )

Answer:

Centre at \((-2,3)\).

Step-by-step explanation:

Use the general formula for a circle to answer this question. The general formula is :

\((x-a)^2+(y-b)^2=r^2\), where \((a,b)\)is the centre of the circle and \(r\) is the radius of the circle.

We have to get the equation we've been given into the general form. We can do this by completing the square as follows:

\(4x^2+16x+4y^2-24y-52=0\) -Group like terms together.

\(x^2+4x+y^2-6y-13=0\) - Divide by common factor of 4.

\((x+2)^2+(y-3)^2=26\) - Complete the square and move constant to the other sides.

Now that it's in the general form we can find the centre. Centre at \((-2,3)\).

Convenience sampling is the least likely to produce a representative sample of the students.

Using the convenience sampling technique, individuals are chosen based on their accessibility and availability. This kind of sampling is frequently employed in studies when the objective is to swiftly collect data from a sample group rather than to acquire a representative sample of the population. If a person is willing to engage in the study  to the researcher, they are chosen for convenience sampling. The primary advantage of this strategy is that it is very simple and quick to apply; however, the primary downside is that the sample may not be representative of the population. This can result in skewed or false findings.

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Answer:

20-6= 14

14 divided by 2 equals 7

he needs 7 more customers

Step-by-step explanation:

have a wonderful day! brainliest?

Answer:

B. (7)

Step-by-step explanation:

First, we figure out how many more items Joshua needs to sell so we do 20 - 6.

20 - 6 = 14.

Next, we do 14 / 2 because each customer buys 2 items.

14 / 2 = 7

Therefore, Joshua must have 7 additional customers to reach his goal.

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

Answer: Cannot be factored

Step-by-step explanation:

= Factor Y^2x -y^x-20

= Cannot be factored

To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.

When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.

The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.

It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.

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Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

The next term in the given series is 21.

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are adding the previous term with the next term. By calculating we get the new next term. Then we repeat this process with the new term and calculate the next term. this is simple addition process.

Given,

1,1 2,3,5,8,13

1+0=1

1+1=2

2+1=3

3+2=5

5+3=8

8+5=13

13+8=21

Therefore, the next term in the given series is 21.

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Answer:

well, we do not have the options here, but we can find the equation of the graph, so the equations that are different from that are the answer to this question:

in the graph, we can see that it goes through the points:

(0,1) and (2,0)

Remember that the slope of a line that goes through the points (x1, y1) and (x2, y2) is:

s = (y2 - y1)/(x2- x1)

then the slope for our line is:

s = (0 - 1)/(2 -0) = -1/2

Then our line is:

y = -(1/2)*x + b.

b is the y-intercept, and we know that when x = 0 y = 1, then:

1 = -(1/2)*0 + b

1 = b

then the equation is:

y = -(1/2)*x + 1

Answer:

50000

Step-by-step explanation:

Answer:

$50,000 would be the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solid line is covering the values that are less than 10 and they keep going forever, as indicated by the arrow at the "end" of the line; the open circle at 10 indicates that 10 is NOT included in the solution. So the solution as an inequality is x < 10

Answer:

C because it the circle isnt shaded on 10 and x is always going to be less than 10.

Answer: I have been asked the same question I believe that it is obtuse and isosceles.

Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.

This angle is isosceles as well as obtuse.

What is an isosceles triangle?

Isosceles triangle is a triangle that has two equal sides.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.

As this triangle has two congruent side, it is an isosceles triangle.

Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.

Hence, for this triangle, B. Isosceles C. Obtuse both apply.

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Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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Step-by-step explanation: It would take off a total of 5.4% which equals to 5,400 because 12% of 45000 is 5,400

Answer:

55 x 12

Step-by-step explanation:

Because first you have to multiply 2 and 6 which is 12 then you multiply 55 x 12 which is 660

The statement "Gasoline is an ideal fuel for transportation because it has a high energy density and is highly portable" is completed correctly by the information in option (a): "high; flammable."

Gasoline is known for its high energy density, meaning it contains a significant amount of energy per unit volume. This characteristic allows vehicles to carry a sufficient amount of fuel for long-distance travel without requiring excessive storage space. Additionally, gasoline is highly portable due to its liquid form, which makes it easy to transport and dispense into vehicles.

Regarding the biggest concern associated with the use of petroleum, the correct option is (c): "carbon dioxide emissions." When petroleum products like gasoline are burned, they release carbon dioxide (CO2) into the atmosphere. CO2 is a greenhouse gas that contributes to global warming and climate change. The combustion of petroleum fuels, especially in the transportation sector, is a major source of CO2 emissions.

While other concerns such as air pollutants (particulates in the air) and environmental impacts (ground level emissions, oil spills) are also associated with petroleum use, the significant contribution of CO2 emissions to climate change makes it the most pressing concern. Addressing carbon dioxide emissions from the burning of petroleum fuels is essential to mitigate the impact of transportation on climate change and promote the use of more sustainable and cleaner energy sources.

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Answer:

Step-by-step explanation:

(C).  A( - 4, - 1 ), B( 3, 0 ), C( - 7, 2 )

Answer:

You would have to work at least 40 hours (b).

Step-by-step explanation:

All the expenses equal up to $375 per week.

$10.00 x 40 hours = $400

Well, expenses are $375, so $400 - $375 = exactly $25.

Working only 30 hours would make the dollar amount negative because of the expenses. It would be -$75.

Working 45 hours would make you $450. After expenses, you would be left with $75.

Working 50 hours would make you $500. After expenses, you would be left with $125.

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Hope this helps!

Have a great day and God bless! :)