The solutions of the equation f (x)=g(x) are-2 and1. If f and g are graphed on the same coordinate plane, which statement must be true?

Answer:

–1 is less than Negative StartFraction 4 Over 5 EndFraction

Step-by-step explanation:

Number line from - 1 to + 1 in Increment of 1 ; with 5 equal spaces between each number ;

–0.3 is less than One-fifth

0 is greater than –0.5

Negative three-fifths is equal to –0.6

Number line :

-1 to 0 to 1

-1, - 0.8, - 0.6, - 0.4, - 0.2, 0, 0.2, 0.4, 0.6, 0.8, 1

–1 is less than Negative StartFraction 4 Over 5 EndFraction : - 1 < - 0.8 (true)

–0.3 is less than One-fifth : - 0.3 < 0.2 (true)

0.6 is greater than 1 ( false)

0 is greater than –0.5 (true)

Negative three-fifths is equal to –0.6; - 0.6 = - 0.6 ( true)

Answer:

The answer is A B D E

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

24 x 3 = 72 just like the problem.

It okay talk a deep breath and focus relax.

Have a great day and don't worry:)

Hope this works, let me know if you didn't understand it

Answer:

the y is y=mx+b

Step-by-step explanation:

if this helps say also have a brillint day

Step-by-step explanation:

I hope its help you

Step-by-step explanation:

First, let us find the magic sum in each row/column/diagonal.

Sum of numbers from 1 to 9 = 45.

45 divide by 3 rows = 15 each row.

The magic sum is 15.

For the diagonals, we have:

8 + 5 + x = Magic sum = 15,

6 + 5 + y = Magic sum = 15.

Therefore x = 2 and y = 4.

Answer:

In triangle ABC, angle B is obtuse.

Step-by-step explanation:

The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.

Answer:

Im guessing she reads 64 of the book

16 divided by 1/4 = 64

Answer:

1) The system of inequalities are;

x × 1.25 + y × 1.5 ≥ 24

x + y ≤ 10

Please find attached the required graph of the two inequalities ,created with Microsoft Excel

2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread

Step-by-step explanation:

1) The maximum number of loaves Larissa plans to make = 10

The price at which she sells each of x loaves of banana bread = $1.25

The price at which she sells each of y loaves of nut bread = $1.50

The total amount she hopes to make = $24

The system of inequalities are;

x × 1.25 + y × 1.5 ≥ 24

x + y ≤ 10

Making y the subject of both inequalities gives;

For the first inequality, we have,

y ≥ 24/1.5 - 1.25/1.5·x which gives;

y ≥ 16 - 5/6·x

For the second inequality, we have,

y ≤ 10 - x

Please find attached the required graph of the two inequalities

2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.

Answer:

>

Step-by-step explanation:

which ever the arrow is opening up to, is the greater number bro

Step-by-step explanation:

Circumference of wheel = πd = 0.75πm.

How far the car travels per minute

= 60s * (14m/s) = 840m.

Hence number of revolutions per minute

= 840m / 0.75πm

= 356.507....

= 357. (nearest whole number)

Answer:

A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?

Step-by-step explanation:

[tex]\frac{180 miles}{3 hours} = \frac{x miles}{7 hours}[/tex]

Answer:

The car's value is depreciating by $2,990 per year.

Step-by-step explanation:

To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.

28,500 - 25,510 = $2,990

Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.

Hope this helps! :D

Step-by-step explanation:

[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Use the identity

[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]

on the left side.

[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Now use the identity

[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]

on the left side.

[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Answer:

8

Step-by-step explanation:

50/5.95

Answer:

I wanna say C. But I'm not exactly sure.

Step-by-step explanation:

I hope it's right :(

Answer:

150

Step-by-step explanation:

add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150

Answer:

29/5

Step-by-step explanation:

Answer:

10 11/20

Step-by-step explanation:

ten and eleven twentieths

Answer:

2(x - 12) = 16

Step-by-step explanation:

They each had $20 to spend.

Answer: From your questions it's stand like factors of that Number so it is one

3=1

5/9=1

4=1,2

Addition point

Quotient is the number remained after divident is divided by divisor

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Took test

At x = -6, both functions have the same output of 3.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We get;

f(x) = 2/3x + 7

when x = -12;            

     = 2/3(-12) + 7                                      

     = -8 + 7                                            

     = -1                                                    

g(x) = 2x + 15....

when x = -12

= 2(-12) + 15

= -24 + 15

= - 9

When x = -9;                      

f(x) = 2/3(-9) + 7                              g(x) = 2(-9) + 15

     = -6 + 7                                             = -18 + 15

     = 1                                                     = -3

When x = -6;

f(x) = 2/3(-6) + 7                             g(x) = 2(-6) + 15

     = -4 + 7                                            = -12 + 15

     = 3                                                   = 3

Thus, At x = -6, both functions have the same output of 3.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

Rs 750 .

Step-by-step explanation:

We need to find 16 ⅔ % of Rs 45,00 .

So , we can write 16 ⅔ % as 50/3 %.

= [tex]\dfrac{50}{\cancel3}\times Rs ,\cancel{ 4500 }^{1500}\times\dfrac{1}{100}[/tex]

=[tex]\red{ Rs 750 }[/tex]

Answer:

1089/20 (Decimal: 54.45)

Answer:

$57.22

Step-by-step explanation:

$2.72 would be 5% of 54.50

The total cost would be

54.50 + 2.72

that would equal

57.22

Answer:

A, C

Step-by-step explanation:

A.)

32 / 8 * 5.25 ----> 4 * 5.25 ----> 21

C.)

4 * 12.5 / 2----> 49 / 2 ----> 24.5

Answer:

between 20 & 30?

A & C  

Step-by-step explanation:

A) 32 / 8 * 5.25 = 21

B) -18 / 6 * 9 = -27

C) 4 * 12.5 / 2 = 25

D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26

Answer:

43.25

Step-by-step explanation:

Since sides DF and FE are congruent, their opposite angles D and E are also congruent.

m<D + m<E + m<F = 180

x + x + 93.5 = 180

2x = 86.5

x = 43.25

Answer: 43.25

Answer:

can u make a more clear picture ?

Step-by-step explanation:

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Answer:

96cm

Step-by-step explanation:

A=1/2bxh (Area=BasexHeight) is the formula to find it.

A=1/2x192

A=96