Use the function f(x) = 4x² - 7x - 15 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.​

The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

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The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

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It will take 5 seconds for the waste to hit the ground.

We know that the bird releases the waste from a height of 400ft, so the height equation is:

[tex]h(t) = -16t^2 + 400[/tex]

The waste will hit the ground when its height is equal to zero, so we just need to solve the quadratic equation:

[tex]h(t) = 0 = -16t^2 + 400\\\\16t^2 = 400\\\\t^2 = 400/16 = 25\\\\[/tex]

Now we can apply the square root in both sides:

[tex]t = \sqrt{25} = 5[/tex]

It will take 5 seconds for the waste to hit the ground.

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The value of the coefficient of xy is 0.

It is an expression made of numbers and letters where the numbers are called coefficient.

Analysis:

(ax+by)(cx-dy)

ac[tex]x^{2}[/tex] -adxy +bcxy -bd[tex]y^{2}[/tex]

But, ac = 18, ad=bc, bd = 50

18[tex]x^{2}[/tex] -xy(bc -ad) - 50[tex]y^{2}[/tex]

since bc = ad, the coefficient of xy = 0

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f = \cfrac{9}{a}+7[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \:a = \cfrac{9}{f - 7} [/tex]

[tex]\qquad \tt \rightarrow \:a(f - 7) = 9[/tex]

[tex]\qquad \tt \rightarrow \:(f - 7) = \cfrac{9}{a}[/tex]

[tex]\qquad \tt \rightarrow \:f = \cfrac{9}{a} + 7[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

with a line accross the points

Answer:

1.19

Step-by-step explanation:

1) Shift the decimals of both 0.8449 and 0.71 to the right by 2 decimal places. (This is needed to convert 0.71 to 71, since long division must divide by a whole number.)

84.49 ÷ 71

2)  Use the algorithm method.

1 . 1 9

7 1 | 8 4 . 4 9

7     1 .  

1 3 . 4

7 . 1

6 . 3 9

6 . 3 9

3) Therefore,  0.8449 ÷ 0.71 = 1.19.

1.19

The midpoint of the class interval 80-89 is 84.5.

The mid point of a class interval is also called the class mark of the class interval.

The midpoint is defined as the average of the upper and lower class limits.

Therefore, the midpoint of the class interval 80-89 can be calculated as follows:

mid point = 80 + 89 / 2

mid point = 169 / 2

mid point = 84.5

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The value of CD is 10.7 cm , Option C is the right answer.

A line segment is a line of fixed measure.

From the figure , as Triangle ABC is a right angled triangle

sin 30 degree = (Perpendicular / Hypotenuse)

∠ B = 30° , AB= 10 cm

sin 30 = AC/10

AC = 5 cm.

To determine CD ,

In Triangle ADC ,

tan 25 = Perpendicular / Base

tan 25 = AC / CD

tan 25 = 5 / CD

CD = 5 / 0.4663

CD = 10.7 cm

Therefore the value of CD is 10.7 cm , Option C is the right answer.

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Answer: C

Step-by-step explanation: 10.7 cm

Answer:

C

Step-by-step explanation:

The contrapositive is always logically equivalent to the original statement.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you have any options or a graph?

Answer: D. 66°

Step-by-step explanation:

A triangle has 180° and we already have the numbers for two sides. We must find the answer that adds up to 180°.

A. 43° + 71° + 19°= 133°

B. 43° + 71° + 77°= 191°

C. 43° + 71°+ 114= 228°

D. 43° + 71° + 66°= 180°

With this information, we know that the answer is D. 66°.

I hope this helps! Pls give brainliest :)

Answer:

bx=-3

Step-by-step explanation:

-2(bx-5)=16

Use distributive property.

-2bx+10=16

Now, subtract 10 from both sides.

-2bx=6

Divide -2 from both sides.

bx=-3

Hope this helps!

If not, I am sorry.

The conditional probability values are 0.57 and 0.43

               Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

The required probabilities are conditional probabilities, and they are calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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Answer:

$ 7360.00

Step-by-step explanation:

100 shares   *   $ 73/share   + $60  = $ 7360

Based on the calculation below,  the total purchase price for this transaction is $7,360.

The total purchase price for this transaction can be calculated using the following formula:

Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)

Substituting all the values into equation (1), we have:

Total purchase price = ($73 * 100) + $60 = $7,360

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The property of each given rational number operation are respectively; Commutative Property; Closure Property; Associative Property; Closure Property; Distributive Property

The main properties of rational numbers are:

a) The property used here is commutative property which says that;

a + b = b + a.

This tallies with the operation used on the rational numbers.

b) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.

c) The property used here is called associative property because it states that; a * (b * c) = (a * b) * c.

d) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.

e)  The property used here is called distributive property because it states that; a * (b * c) = (ab * ac)

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Answer:

y^3

Step-by-step explanation:

x^3 y^3     and    y^4  

y^3 * x^3     and y^3  * y

Part (a)

[tex]247 \approx 200\\\\201 \approx 200\\\\\implies 247 \times 201 \approx 200 \times 200=\boxed{40000}[/tex]

Part (b)

[tex]756 \approx 800\\\\8674 \approx 9000\\\\\implies 756 \times 8674 \approx 800 \times 9000 =\boxed{7200000}[/tex]

Part (c)

[tex]3025 \approx 3000\\\\2007 \approx 2000\\\\\implies 3025 \times 2007 \approx 3000 \times 2000=\boxed{6000000}[/tex]

Answer:

tan theta - cot theta

Step-by-step explanation:

sin/cos = tan

cos/sin = cot

The simplified expression of (-2 - c)(-1) is 2 + c

We have:

(-2 - c)(-1)

Express as product

(-2 - c) * (-1)

Evaluate the product

2 + c

Hence, the simplified expression of (-2 - c)(-1) is 2 + c

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The attached graph represents the piecewise function h(x)

Which of the following is the graph of the piecewise function

[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]

The function is given as:

[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]

The above means that the piecewise function has 3 domains

Next, we plot the graph using a graphing tool

See attachment for the graph of the piecewise function h(x)

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The factored form of the expression is 2(g-h)(12g+5h)

A quadratic Expression is what can be written in the form of

ax²+bx +c

The given quadratic expression is

24g² -gh -10h²

10g² - 10h² +14g² -gh

10(g+h)(g-h) +14 g(g -h)

(g-h)(10 g +10h +14g)

2(g-h)(12g+5h)

Therefore the factored form of the expression is 2(g-h)(12g+5h).

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Hi!

I am not completely sure what you mean but if you are looking for the slope of a line here is the best way to find it.

Y=Mx+b

it look difficult but really it's quite easy and once you get it it's super memorable. Y will always be Y that doesn't change. The M is the slope of the line (don't let equations confuse you with different letters! the M might be different but it is always the letter next to x) and b is the y intercept (where the line crosses y). All you need to find the slope of a line is 3 points. I see here you have a graph. So what you do is count how much it's moving up each block on the graph. I would say your slope is about 1/3. Y is really easy! just find the point it crosses the y axis(horizontal axis or the one going up and down) for yours it's 0. So your answer is y=1/3x+0

Answer:

3

Step-by-step explanation:

3 is an odd number and obviously the only odd (same) three digit that add up to 9

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Answer:

$ 164.68   markup

Step-by-step explanation:

22 3/8 % = 22.375 %    which is .22375 in decimal

  .22375 * $ 736 =  $ 164.68

Answer: C

Step-by-step explanation: Substitute the x’s into C’s equation.

2(0) is 0, 0+1 is 1 so the first row is correct. 2(2) is 4, 4+1 is 5, so the second row is correct. 2(4) is 8, 8+1 is 9, so the third row is correct. And lastly, 2(6) is 12, 12+1 is 13 so fourth row is correct as well. Assuming the rest of the rows follow this pattern, the correct answer should be C.

Answer: [tex]8\sqrt{5}[/tex]

Step-by-step explanation:

By the geometric mean theorem,

[tex]\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8[/tex]

Thus, by the Pythagorean thoerem,

[tex]8^2 +16^2=x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}[/tex]

Answer:

23

Step-by-step explanation:

seen it before

Answer:

2 hours

Step-by-step explanation:

you can write two linear equations and then set them equal to each other to see when they intersect. so for the first equation which will be representing the junior space cadets distance from his house. this can be written as

d = 50t + 50

where t represents time and d represents distance. there is 50 being added to the equation since he had already been traveling for an hour

the second equation which will represent his sister Gwen can be represented as

d = 75t

Now we set them equal to each other

50t + 50 = 75t

50 = 25t

2 = t