The functions f (x) = 1/2x-3 and g(x) = -2x+ 2 intersect
at x = -2. True or false?

Answers

Answer 1

9514 1404 393

Answer:

  False

Step-by-step explanation:

f(-2) = (1/2)(-2) -3 = -1 -3 = -4

g(-2) = -2(-2) +2 = 4 +2 = 6

The function values are not the same at x=-2, so the graphs do not intersect there.

__

The graphs intersect at x=2.

The Functions F (x) = 1/2x-3 And G(x) = -2x+ 2 Intersectat X = -2. True Or False?

Related Questions

given that general term 7n+4
evaluate sum of 5th term and 5th term

Answers

[tex]\boxed{\sf t_n=7n+4}[/tex]

We have to find 5th term

[tex]\\ \sf\longmapsto t_5=7(5)+4[/tex]

[tex]\\ \sf\longmapsto t_5=35+4[/tex]

[tex]\\ \sf\longmapsto t_5=39[/tex]

Which graph represents the solution set of the inequality 11 ≤ 2x + 5 ≤ 15

Answers

Answer:

D.

Step-by-step explanation:

First, simply the inequality.

[tex]11\leq 2x+5\leq 15\\6\leq 2x\leq 10\\3\leq x\leq 5[/tex]

Based on the simplified inequality, you are looking for a line with closed points on 3 and 5. Therefore, the answer is D.

Which of the following shows the extraneous solution to the logarithmic equation below?

2 log Subscript 5 Baseline (x + 1) = 2

Answers

Answer:

x=4

Step-by-step explanation:

log5(x+1)=1, (x+1)=5, x=4

Answer:

x= -6

Step-by-step explanation:

i got it wrong and the answer is -6

During a​ one-month promotional​ campaign, Fran's Flix gave either a free DVD rental or a​ 12-serving box of microwave popcorn to new members. It cost the store ​$1 for each free rental and ​$2 for each box of popcorn. In​ all,46 new members were signed up and the​ store's cost for the incentives was ​$86. How many of each incentive were given​ away?

Answers

43 for popcorn or 86 for rental dvds

Prove a proof please

Answers

Answer:

They look similar

They look similar and they are the exact same just on different sides

Given the linear function f(x) 2/3x + 6 evaluate f(-6)

Answers

the answer is on the photo

A speed training service wants to explore the effectiveness of some of the classes offered to their clients. They randomly select 300 high school athletes and record their 50-meter dash time. The 300 high school athletes are then randomly assigned to three groups with 100 in each. One hundred athletes will take a circuit training class, 100 athletes will take an interval training class, and 100 athletes will take a plyometrics training class. At the end of 10 weeks of taking these classes, their 50-meter dash time will be recorded a second time. Their times will be analyzed to see which class showed the greatest overall improvement in times.


Select all the sentences that correctly identify the components of the experiment.


The experimental units are subjects.

The subjects are the 50 athletes.

There is one treatment, the 50-meter dash.

There are three treatments.

One treatment is a circuit training class.

The factor is the type of class.

There are 10 levels of the factor.

Answers

Answer:

A,D,E,F

1,4.5,6

The experimental units are subjects.

There are three treatments.

One treatment is a circuit training class.

The factor is the type of class.

ED2021

(a) How many different three-letter initials can people have: , (b) How many different three-letter initials with none of the letters repeated can people have: , (c) How many different three-letter initials with letters repeated begin with an X: , (d) How many different three-letter initials begin with a F and end in a D: .

Answers

Answer:

Step-by-step explanation:

A) 26*26*26 =17576

B)26*25*24=15600

C)26*26=676

D) 26

Y=square root of x compare to y= - square root of x how they differ and why

Answers

Answer:

Simply because x=y2 doesn't imply that y=

x

.

in the figure above, three congruent circles are tangent to eachother and have centers that lie on the diameter of a larger circle. if the area of each of these small circles is 9pi, what is the area of the larger circle?
a) 36pi
b) 49pi
c) 64pi
d) 81pi

Answers

The area of the larger circle is 81π square units.

Congruent circles are circles that are similar in pattern.

The formula for calculating the area of a circle is expressed as:

[tex]A = \dfrac{\pi d^2}{4}[/tex]

Given that the area of each of the small circles is 9π, then:

[tex]9 \pi =\frac{\pi d^2}{4}\\9 = \frac{d^2}{4}\\d^2=9*4\\d^2=36\\d=\sqrt{36}\\d=6units[/tex]

This shows that the diameter of one of the small circles is 6units.

Since the diameter of the three circles will be equivalent to the diameter of the larger circle, hence;

Diameter of the larger circle = 3(6) = 18units

Get the area of the larger circle:

[tex]A=\frac{\pi D^2}{4}\\A=\frac{\pi \times 18^2}{4}\\A =\frac{324\pi}{4}\\A= 81\pi[/tex]

Hence the area of the larger circle is 81π square units.

Learn more on the area of circles here: https://brainly.com/question/12298717

Consider the triangle ΔXYZ . Find the angle Z given that ZY=30 , ZX=15 , and YX=21

Answers

Step-by-step explanation:

hey bro can get the diagram

Answer:

where is the diagram plz show the diagram

Step-by-step explanation:

llana has 70¢ in her purse. All the coins have the same value. What could describe all the coins she has in her
purse?
71 pennies
8 dimes
1 0 0
14 nickels
3 quarters

Answers

Answer:

14 nickels

Step-by-step explanation:

One nickel is worth 5 cents, so find the value of 14 nickels by multiplying 14 by 5:

14(5)

= 70

So, 14 nickels is equal to the 70 cents that she has in her purse.

The correct answer is 14 nickels.

5 times a certain number plus 6 has the same value as two times the same number minus 3 what is the number​

Answers

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 5x+6=2x-3[/tex]

[tex]\\ \sf\longmapsto 5x-2x=-3-6[/tex]

[tex]\\ \sf\longmapsto 3x=-9[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-9}{3}[/tex]

[tex]\\ \sf\longmapsto x=-3[/tex]

Mariah swam her leg of the race in 24.98 seconds and Janet swam her leg of the relay race in 25.874 seconds. What was their combined time for their part of the relay?

Answers

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds

1.1.3 what is the the perimeter of a swimming pool if the length is 4,5m and the breadth is 3m? 1.1.4 Define the following concepts :a. Ratio. b. Rate​

Answers

The perimeter of the swimming pool is 15m

A swimming pool is rectangular in nature. The perimeter of the rectangular pool is expressed using the formula;

[tex]P=2(L+W)[/tex]

Given that

Length L = 4.5m

Width W = 3m

Get the perimeter

[tex]Perimeter = 2(4.5+3)\\Perimeter = 2(7.5)\\Perimeter = 15m[/tex]

Hence the perimeter of the pool is 15m

1.1.4 Rate is defined as the ratio between two quantities with a different unit. Examples of rates are;

meter per second, miles per hourcalories per serving etc

The ratio is simply defined as the ordered pair between two variables x and y, For instance,

The ratio of x to y is x:y.If there are 5 pencils and 2 pens in a carton, then the ratio of the pencil to pen is 5:2.

Learn more on ratio and rate here: https://brainly.com/question/24325733

what is the gcf of 10 and 62

Answers

Answer:

2

Step-by-step explanation:

Factors of 10: 1, 2, 5 & 10

Factors of 62: 1, 2, 31 & 62

GCF = 2

Which number is divisible by 5? 108 109 69 55

Answers

Answer:

55

Step-by-step explanation:

Any number that's ends with the digit 0 or 5 is divisible by 5.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) 55

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Option A:}}\\\\108/5 = 21.6\\\\\boxed{\text{Option B:}}\\\\109/5 = 21.8\\\\\boxed{\text{Option C:}}\\\\69/5 = 13.8\\\\\boxed{\text{Option D:}}\\\\55/5 = \boxed{11}[/tex]

⸻⸻⸻⸻

55 is divisible by 5. You can also tell that it is divisible because it's last place digit is a '5'.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

what represent the relationship between the total mass of a crate

Answers

9514 1404 393

Answer:

  (a)  M = 0.25n +100

Step-by-step explanation:

The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).

The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...

  slope = rise/run = 25/100 kg/CD = 0.25

Then the equation describing the points on the graph will be ...

  M = 0.25n +100

Help
Plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

angle G

sin inverse (21/29) = 46.4

GH

c^2 - b^2 = a^2

29^2 - 21^2 = a^2

a = √(29^2 - 21^2)

GH = 20

therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20

BRAINLIEST TO BEST ANSWER There are ten numbered bags on the table with ten coins in each bag. The coins in one of the bags are fake. A real coin weighs 10 grams, and a fake coin weighs 9 grams. How do you find the bag that contains the fake coins with just one weighing?

Answers

Answer:

There are 10 bags. 9 of the bags have real coins, 1 bag has fakes. A real coin weighs 10 g, a fake coin weighs 9 g.

Take 1 coin from the first bag, 2 coins from the 2nd bag, 3 coins from the 3rd bag, 4 coins......., 5 coins............,  .........10 coins.......

If there are no fakes at all, the total weight should be: 550 grams.

If the weight is 545 grams, there would be 5 fakes, and so the fake bag would be Bag 5. (because there is a 5 gram difference)

I hope this helps!

pls ❤ and mark brainliest pls!

if 2x + 1=7 what is the value of x​

Answers

Answer:

x=3

Step-by-step explanation:

2x+1=7

2x=7-1

2x=6

x=6/2

x=3

Answer:

Solution,

2x + 1=7

or 2x = 7 - 1

or, 2x= 6

or, x = 6

2

or, x = 3

.:. x = 3

HELP OR IM GONNA FAIL pleasee!!!! Last one
What is the solution to the system of equations graphed below?
10
X= - x+2
y = 5x + 28
-10

Answers

Answer:

(-4,8)

Step-by-step explanation:

The solution to the system is where the lines intersect

The lines intersect at x=-4 , y = 8

(-4,8)

Answer:

Solution: (-4, 8)

Step-by-step explanation:


What is the distance between point C and point D?

Question 5 options:


A)


17 units


B)


13 units


C)


12 units


D)


√85 units

Answers

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans

12 units is the answer for ur question

help please i’ll give brainliest

Answers

Answer:

3rd option

..................

[tex]A) \frac{4-2}{2-1} =2[/tex]

[tex]B)\frac{1-0.5}{4-2} =0.25[/tex]

[tex]C)>2[/tex]

[tex]D) 1[/tex]

~OAmalOHopeO

Answer:

The third one is your answer

find the value of the trigonometric ratio​

Answers

Answer:

15÷39

Step-by-step explanation:

I hope it will help you

cos x = adjacent÷ hypotenuse

cos x =15÷39

cos x = 5÷13

what is the answer to 5- -8

Answers

Answer:

13

5 - -8

When you subtract a negative number it changes to an addition so 5- -8 becomes 5 + 8 which equals 13.

Is Statistics mathematics or science? Defend your answer.

Answers

Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.

• It is mostly used to find the census, which is maths.

• It is used to find interest rates and other banking terms using statistics, which is again related to math.

• It is also used to find the average people living in a village or panchayat, which is also math.

Therefore I strongly believe that Statistics is Maths.

Thank You!

Hey I need helping with solving thank you

Answers

Answer:

the answer to this equation is c (10)

using the unit circle what is the exact value of tanpi/6

Answers

Answer:

[tex] \frac{ \sqrt{3} }{3} [/tex]

Step-by-step explanation:

[tex]\frac{1}{3} \div \sqrt{3} [/tex]

Given: Measure of arc AB = measure of arc BC,
Measure of angle x = 60°, measure of angle y = 15°
Find: Measure of arc AC

Answers

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

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