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

Which statements are true? (Graph is pictured)

Select ALL that apply


A)The end behavior of functions f(x) and g(x) are exactly the same.

B)Both functions have exactly three x-intercepts.

C)The function f(x) is an odd degree function.

D)The function g(x) has a positive leading coefficient.

E)The x intercepts for g(x) are (1, 0); (2, 0) and (-3/2, 0)

-57

We can collect terms to simplify the arithmetic.

... = a^3(6 +4 -8) +a^10(-1 +1) +a

... = 2a^3 +a

... = a(2a^2 +1)

For a = -3, this is

... -3(2(-3)² +1) = -3(2·9 +1)

... = -3·19 = -57

Answer:

81

Step-by-step explanation:

9girls x 9 boys to play each other

Answer:

a) $0.46 per bagel

Step-by-step explanation:

When you are looking for a unit price, you have to divide the price in this instance by the amount of items that you have. For example, here you just have to divide $2.76 by 6 to get $0.46.

Hope I could help! :)

Answer:

C) 1/2(15 +23)(9)

Step-by-step explanation:

The formula for the area of a trapezoid in terms of base lengths b1 and b2 and height h is ...

... A = 1/2(b1 +b2)h

Substituting the values shown in the figure, this becomes ...

... A = 1/2(15 +23)(9) . . . . . matches selection C

Answer:

x=1

Step-by-step explanation:

so just plug 1 in and you wil get it

Answer:

16

Step-by-step explanation:

6(2)+4

6 x 2=12

12+4=16

12 units²

Counting half-squares around the perimeter of the rectangle, we find there are 10. Counting full squares inside the rectangle, we find there are 7. Then the total area is

... (1/2)·10 +7 = 12 square units

_____

Alternate calculation

The long side is the hypotenuse of a right triangle with legs 3, so has length 3√2. The short side is the hypotenuse of a right triangle with legs 2, so has length 2√2. The area is the product of these lengths, so is ...

.. area = (3√2)(2√2) = 6(√2)² = 6·2 = 12 . . . square units

Answer:

21

Step-by-step explanation:

Answer:

More students take French than take Spanish.

Step-by-step explanation:

Effectively, out of every 39 students taking French and/or Spanish, 19 of them take Spanish and 20 of them take French. The number of French students in that group is higher. (20 is more than 19)

Answer:

6

Step-by-step explanation:

Since the relationship is proportional, when y is increased by a factor of 3 from 7 to 21, so is x—from 2 to 2×3 = 6.

Answer:

The equation would be y = -1/2x + 8

Step-by-step explanation:

To find the equation of the line, we start by find the slope. Perpendicular slopes have opposite and reciprocal slopes. since the original slope is 2, then the perpendicular slope is -1/2.

Now, using the point and the slope in point-slope form, we can find the equation.

y - y1 = m(x - x1)

y - 6 = -1/2(x - 4)

y - 6 = -1/2x + 2

y = -1/2x + 8

The equations that is perpendicular to y = 2x + 5 and passes through the point (4 , 6) is y = - 1/2 x + 8

For an equation to be perpendicular to the another line equation the product of there slope will be negative one. Therefore,

Therefore, the slope of  y = 2x + 5  is 2. The equation should have the following slope:

2m₂ = - 1

m₂ = -1 / 2

A linear equation is represented as follows:

m = slope

b = y-intercept

Therefore,

let use the point  (4 , 6) to find b

6 = - 1/2 (4) + b

6 = -2 + b

b = 6 + 2

b = 8

The equation will be as follows:

y = - 1/2 x + 8

read more; https://brainly.com/question/16236339?referrer=searchResults

D. 8.2

ST = SD + DT . . . . . segment addition theorem

11.1 = 2.9 + DT . . . . substitute the given lengths

8.2 = DT . . . . . . . . subtract 2.9

The length of segment DT is 8.2 units.

Answer:8.2

Step-by-step explanation:

I got it right on edginuity

A. The dollar amout of the markup is found by multiplying the markup rate by the dollar cost. "24% of cost" means "24% × cost". Of course, you know that 24% = 24/100 = 0.24.

... markup = 0.24 × cost = 0.24 × $159 = $38.16

B. The markup is the amount added to the cost to get the selling price. It is the amount by which the cost is marked up.

... selling price = cost + markup = $159.00 +38.16 = $197.16

Answer:

[tex]\begin{array}{cccc}&\text{ Like fruit }&\text{ Do not like fruit }&\text{ Total }\\\text{Like vegetables}&11&1023&1034\\\text{Do not like vegetables}&44&33&77\\\text{Total}&55&1056&1111\end{array}[/tex]

Step-by-step explanation:

You are given such information:

Then 55 - 44 = 11 members like fruit and vegetables. Thus,

1111 - 55 - 33 = 1023 members like vegetables but not like fruit.

A two-way frequency table will take look

[tex]\begin{array}{cccc}&\text{ Like fruit }&\text{ Do not like fruit }&\text{ Total }\\\text{Like vegetables}&11&1023&1034\\\text{Do not like vegetables}&44&33&77\\\text{Total}&55&1056&1111\end{array}[/tex]

Nikita can organize her data into a two-way frequency table showing members' preferences for fruit and vegetables. The table identifies how many members like only fruit, only vegetables, both, or neither accordingly.

Nikita has the following data about her food club consisting of 1111 members:

We can organize this information into a two-way frequency table. Here are the steps:

Calculate the number of members who like both fruit and vegetables. Since 55 members like fruit, 44 like only fruit, and 33 like neither, we subtract the 44 members who like only fruit from the total 55 fruit-likers to find those who like both: 55 - 44 = 11.

Calculate the number of members who like vegetables only. The number of members who like either fruit or vegetables or both can be found by subtracting those who like neither from the total number of members: 1111 - 33 = 1078. We already know 55 like fruit, so those who like vegetables only: 1078 - 55 = 1023 (1111 total members - 33 neither - 55 fruit).

The two-way frequency table looks like this:

                           Fruit   No Fruit Total

Vegetables       11 1023 1034

No Vegetables 44 33          77

Total                 55 1056 1111

Answer: The value of [tex]x^2+y^2[/tex] is 140

Step-by-step explanation:

We are given an expression:

[tex](x-y)^2=100[/tex]

And,

xy = 20

Using the identity:

[tex](a-b)^2=a^2+b^2-2ab[/tex]

Solving the expression:

[tex]x^2+y^2-2xy=100[/tex]

Putting the value of 'xy' in above equation, we get:

[tex]x^2+y^2-2(20)=100\\\\x^2+y^2=100+40\\\\x^2+y^2=140[/tex]

Hence, the value of [tex]x^2+y^2[/tex] is 140

Answer:

x=5

y=10

Step-by-step explanation:

Answer:

136 miles

Step-by-step explanation:

The map distance is 3.4 times 2 cm, so the road distance will be 3.4 times 40 miles, or 136 miles.

4/5

The question is asking you to find the ratio of Wednesday's time (2/3) to Tuesday's time (5/6). To do that, you divide the fractions:

... Wednesday / Tuesday = (2/3) / (5/6)

There are a couple of different methods you can use to divide fractions.

1. Invert the denominator and multiply.

When we invert 5/6, it becomes 6/5. So our division problem is now a multiplication problem:

... (2/3) × (6/5) = (2×6)/(3×5) = 12/15

This result can be reduced by removing a factor of 3 from numerator and denominator:

... Wednesday/Tuesday = 4/5

___

2. Make both fractions have the same denominator, then drop the denominators.

The denominators of the fractions in our ratio are 3 and 6. If we multiply 3 by 2, it becomes 6, so we can rewrite the numerator fraction as ...

... 2/3 = (2/3)×(2/2) = 4/6

Now, it has a denominator of 6 and our division problem is

... (2/3) / (5/6) = (4/6) / (5/6)

Dropping the (same) denominators gives ...

... Wednesday/Tuesday = 4/5

Answer:

5/12

Step-by-step explanation: find common denominator

Answer:

137.2 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of linear dimensions. The larger volume is ...

... V = (7/5)³ × 50 m³ = 2.744 × 50 m³

... V = 137.2 m³

Option B (cos 29° and sin 61°) contains equivalent trigonometric values, as the angles are complementary and adhere to the identity sin(90° - x) = cos(x).

The question asks us to identify equivalent trigonometric values out of the given pairs. The equivalent values will have the same numerical value if their angles are complementary (i.e., they add up to 90°) because of the identity sin(90° - x) = cos(x). Considering this, let's evaluate the provided pairs:

A: sin 17° and cos 17° are not complementary, so they are not equivalent.

B: cos 29° and sin 61° are complementary (29° + 61° = 90°), hence equivalent.

C: sin 78° and cos 102° are not complementary, and 102° is greater than 90°, so they are not equivalent.

D: cos 83° and cos 7° are not complementary, but they are both cosines of different angles, so they are not equivalent.

Thus, the pair with equivalent trigonometric values is B: cos 29° and sin 61°.

Answer:

B) 9.2 g

Step-by-step explanation:

The balance measures only to 0.1 g.

So, the best measurement Hailey can make is to the nearest 0.1 g.

The most precise measurement she can make is 9.2 g.

The accuracy depends on the balance and on how carefully she  works.

19.5 inches

Let r represent the length of one of the sections of rope (in inches). Then the total length of the original rope is ...

... 8r +28.9 = 184.9

... 8r = 156 . . . . . . . . . . . . subtract 28.9; next, divide by 8

... 156/8 = r = 19.5

The length of each of the sections is 19.5 inches.

Answer:

BE:EC= 1/3

Step-by-step explanation:

Given ABCD is a parallelogram, Point K is such that it belongs to diagonal BD so that BK:DK=1:4.

If we make an extension of AK which meets BS at point E, then using ΔDKA and ΔEKB, we have

∠DKA=∠EKB (Vertically opposite angles)

∠KDA=∠KBE (Alternate interior angles)

∠DAK=∠BEK (Alternate interior angles)

Thus by AAA similarity,ΔDKA≅ΔEKB

⇒[tex]\frac{AD}{BE}[/tex]= [tex]\frac{DK}{BK}[/tex],

Since, AD= BC,therefore

[tex]\frac{AD}{BE}[/tex]= [tex]\frac{BC}{BE}[/tex]= [tex]\frac{4}{1}[/tex]

Now, BC= BE+EC, ⇒[tex]\frac{BE+EC}{BE}[/tex]= [tex]\frac{4}{1}[/tex]

⇒1+[tex]\frac{EC}{BE} = \frac{4}{1}[/tex]

⇒[tex]\frac{EC}{BE}= 3[/tex]

Reciprocating on both the sides, we get

[tex]\frac{BE}{BC} = \frac{1}{3}[/tex]

To find the rate of change, find the difference of people at the park at each given hour and divide that by the total number of hours in the given time frame.

Early Time interval:

Hour 1 there was 55 people.

Hour 3 there was 135 people.

The rate of change is 135 - 55 / 3-1 = 80/2 = 40 people per hour.

Late time interval:

Hour 3 had 135 people.

Hour 5 had 175 people.

The rate of change is 175 - 135 / 5-3 = 40/2 = 20 people per hour

20 is less than 40, so the late time interval had the smallest rate change.

Answer:

3:5

Step-by-step explanation:

We are looking for the ratio of baskets made to baskets attempted

made: attempted

9:15

We can divide each number by 3

9/3: 15/3

3:5

The ratio of baskets made: attempted  is 3:5

The ratio that describes the number of baskets made to the number of baskets attempted by the basketball player is 9 to 15, which simplifies to 3 to 5.

The question pertains to the ratio of successful basket attempts to total attempts made by a basketball player in a game.

In this case, the player successfully made 9 baskets out of 15 attempts.

To express this as a ratio, we simply compare the number of made baskets to the total attempts,

thus the ratio is 9 to 15, which can also be simplified by dividing both numbers by their greatest common divisor, which is 3, resulting in a simplified ratio of 3 to 5.

Check the picture below.

make sure your calculator is in Degree mode.

Answer:

See below.

Step-by-step explanation:

The one that looks like the attachment.

It is vertically shortened from f(x) = x^2, so appears wider than f(x) = x^2 does. The vertex is still at (0, 0), it still opens upward, and it remains symmetrical about the y-axis.

[tex]f(x)=\dfrac{1}{2}x^2\\\\for\ x=0\to f(0)=\dfrac{1}{2}(0)=0\to(0,\ 0)\\\\for\ x=\pm1\to f(\pm1)=\dfrac{1}{2}(\pm1)^2=\dfrac{1}{2}(1)=\dfrac{1}{2}\to\left(-1,\ \dfrac{1}{2}\right);\ \left(1;\ \dfrac{1}{2}\right)\\\\for\ x=\pm2\to f(\pm2)=\dfrac{1}{2}(\pm2)^2=\dfrac{1}{2}(4)=2\to(-2,\ 2);\ (2,\ 2)\\\\for\ x=\pm4\to f(\pm4)=\dfrac{1}{2}(\pm4)=\dfraC{1}{2}(16)=8\to(-4,\ 8);\ (4,\ 8)[/tex]

Final answer:

To find the length of QR, we used the Pythagorean theorem on triangle PNQ to find NQ, then added it to PR, resulting in QR measuring 53 inches.

Explanation:

To find the length of side QR in △PQR, we can apply the Pythagorean theorem to one of the right triangles formed by the altitude PN. The triangle we'll use is △PNQ, where NQ is part of QR, and PN is given as 15 in.

Firstly, we can calculate NQ using the Pythagorean theorem:

PN² + NQ² = PQ²

15² + NQ² = 39²

NQ² = 39² - 15²

NQ² = 1521 - 225

NQ² = 1296

NQ = √1296

NQ = 36 in

Since PR = 17 in, we can conclude that NR is the difference between PR and NQ:

NR = PR - NQ

NR = 17 - 36

NR = -19 in

The negative value indicates a mistake since lengths cannot be negative. Therefore, we should use the entire length of PQ instead:

QR = NQ + NR

QR = 36 + 17

QR = 53 in

Thus, side QR measures 53 inches.

Answer:

B. (5,-2)

Step-by-step explanation:

Plug in X and Y, verify accuracy

The best way to plot them is by month.

170 - 110 = $60.

We are supposed to plot in months and the above calculation is in year, convert it into months

60/5 = $5 each month

So, the coordinates would be 0, 110 1, 115 2, 120 3, 125

The month will be in the x axis and your money will be the Y axis 

A suitable y-axis scale to plot spending habits ranging from $110 to $170 would start at $100 and go up to $180, while a good interval for the y-axis would be $10 to allow for clear plotting of values in whole dollars.

To answer the student's question about how to plot spending habits on a coordinate grid: