A line has a slope of
3/2
and a y-intercept of
4/5

Which of the following is an equation of the line?

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

Answer:

2000 represents the original amount of butterfly's

3/4 represents the change in butterfly's

To find c) plug 3 in for t and solve.

Answer:

8 cm

Step-by-step explanation:

Congruent means same. so x is 8

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is [tex]\frac{3}{3.75}[/tex].

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is [tex]\frac{5}{6.25}[/tex].

If these polygons are similar, these proportions must be equal.

[tex]\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark[/tex]

Checking, we see that these proportions are equal, and therefore the polygons are similar.

Answer:

A circle centred at (-1,3) and radius 3.

Step-by-step explanation:

Answer:

x = 12.26

Step-by-step explanation:

sin  = opp/hyp

sin 50 = x/16

multiply both sides by 16

16 * sin50 = x

Use calculator

x = 12.256711089903649

Rounded

x = 12.26

The answer is:

12.26

you multiply both sides

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

A scalene triangle is a triangle in which all the three sides of the triangle have different lengths hence, all the angles of the triangle also have different lengths.

Therefore the set of straw lengths that can be used a scalene triangle must have different lengths, for example:

5, 7 , 8

Answer:

SOHCAHTOA

-opposite = 45

adj = x (32 degrees)

Tan(32)/x = 45/x

cross multiply to get your answer

Answer:

x = 70°, y = 110°, z = 70°

Step-by-step explanation:

The two straight lines are intersection each other.

y = 110°  [justification vertical angles, or vertically opposite angles]

x + 110° = 180  [supplementary angles]

therefore x = 180-110 = 70°

Similarly,

z + 110° = 180  [supplementary angles]

therefore z = 180-110 = 70°

Answer:

Y= 110°

Z= 70°

X= Z, which is 70°

Step-by-step explanation:

Because 110° is same to y, y=110°.

A 180° angle is a straight line, so 180-110=70.

Thus, z is 70°

Because x is same to z, it is 70° too.

Answer:

1570.8

Step-by-step explanation:

Radius=1/2 Diameter

V=PiR^2h

v=3.1416(10m)^2x5

v=1570

note: the answer can vary slightly depending on how many decimal points are used for Pi.

Answer:

option D

Step-by-step explanation:

4 hours = 40 miles/per hour

? hour = 55 miles/per hour

step one, find rate :

40 divided by 40

1 hour = 10 miles/per Hour

If 4 x 10 = 40

then  n x 10 = 55

It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles

Answer is Option D

Answer:

41% is already in percentage form.

1.836 is 183.6 %

6/50 is 12%.

Step-by-step explanation:

41% is already in percentage form, so I'm just going to leave that as it is.

1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.

6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.

Please mark branliest, thanks!

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

15

Step-by-step explanation:

youre welcome have a great summer

Answer:

Step-by-step explanation:

It is in changing solving with the sign of | |

Answer:

The answer is 1/8

Step-by-step explanation:

There are 4 marbles in the box and one of them is a yellow marble. The odds of getting a yellow marble fr the box is 1/4.

A number cube labeled 1 through 6 has 6 numbers, which are 1, 2, 3, 4, 5 and 6. The odd numbers in the cube are 1, 3 and 5. The probability of getting an odd number from the cube is 3/6, which is simplified to 1/2.

To find the probability of both cases occurring, both fractions should be multiplied.

1/4 * 1/2 = 1/8

Answer:

The second coupon will save more money.

Step-by-step explanation:

Below are the calculations:

First, find the 20% of the cost $115 and then compare with other value $25.

The 20% of the $115 = 20% x 115 = $23

Since the person has two coupons, one coupon benefits by $23 and second coupon benefit by $25. Therefore, second coupon will save more money.

Answer:

6. The word ‘COMMITTEE’ has 9 letters.

So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.

M repeats twice. T Twice. E twice.

7. If it must be greater than  2000 , the first digit must either be  2  or  3 , which means you will have  2  choices. After that, there will be  3  choices for the second digit. Then there will be  2  choices for the third digit. Lastly there will be just  1  choice for the last digit.

The number of permutations becomes  2×3×2×1=12 .

Step-by-step explanation:

Answer:

The word has 9 letters with 2 Ms, 2Ts and 2Es

We need 2 Ts together, this reduces the number of positions by one.

The number of ways:

Digits 0, 1, 2, 3

Number should be greater than 2000, it means the number is:

or

Total permutations:

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=[tex]\sqrt{x-3} \sqrt{x-3}[/tex]

Hope I helped :)

Answer:

C and E

Step-by-step explanation:

Answer:

AM = 900

CI = 500

I have to be honest, this is the most ridiculously worded question of this type that I have ever seen... ask you teacher, why it was so important to force you to solve it using only one variable?

Step-by-step explanation:

(AM) + (1400-AM) = 1400

2(AM) + 3(1400 - AM) = 3300

2AM + 4200 -3AM = 3300

-AM = -900

AM = 900

CI = 500

Answer:

111

Because other ones ends with even numbers (6, 2, 8)

Answer:

6^8

Step-by-step explanation:

(6^2)^3*6^2

= 6^(2*3)*6^2

= 6^6*6^2

= 6^(6+2)

= 6^8

Answer:

1) JG = 5

2) ANGLE FKJ = 80DEG

3) ANGLE ADB = 72DEG

4) ANGLE ABD = 90DEG

5) ANGLE AFE = 110DEG

6) ANGLE ACE = 42DEG

Assumption- in the last figure, intersection of BD and CE is at I and Angle BIC = 48 deg

=====================================================

Explanation:

Use of a calculator will show that

2/3 = 0.6666...

where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67

The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.

Answer:

Probably 1

Step-by-step explanation:

I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.

Answer:

1 or 2

Step-by-step explanation:

5160.5 is less than 5,500 therefore it rounds down to 5,000.

5260.5 is less than 5,500 therefore it rounds down to 5,000.

Answer:

Step-by-step explanation:

All the measuring angles above 180 degrees and less than 360 degrees are termed Reflex angles.

Eg: 239° is greater than 180° and lesser than 360° So it's a reflex angle

Answer:

91.3 degrees celsius

Step-by-step explanation:

Here, we want to calculate the mean temperature of the 30 cups

From what we have here, if we multiplied the mean by the count of cups, we have the total

That means, we have the total temperature of all as;

(10 * 89.6) + (20 * 92.1) = 2,738

So to get the temperature of the thirty, we divide this by 30 as follows;

2,738/30 = 91.3