Sebastian's friend gives him 4 special-edition baseball cards to start his own collection. Sebastian then buys 6 new baseball cards for his collection every month.
If x is the number of months, what is the linear function, f (x), that represents the total number of baseball cards in Sebastian's collection as a function of the number of months?

A: f(x) = 4x
B: f(x) = 6x
C: f(x) = 4x + 6
D: f(x) = 6x + 4

Answer:

Step-by-step explanation:

3000

Answer:

Its the upper limit and lower limit of the class

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

y intercept = -5

slope= 4

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

SO THATS HOW WE ARRIVED AT -5 AND 4.

WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

Answer:

Jaime is _48_years old, and Savannah is _32_ years old.

Step-by-step explanation:

Jaime is 16 years older than Savannah

Ten years ago, the sum of ages = 60.

(60-16)=22

Ten years ago, Jaime=22+16=38y but now Jaime is 48 (38+10)

Ten years ago, Savannah = 22y but now Savannah is 32y (22+10)

hope this helps

Answer:

8.08 %

Step-by-step explanation:

Let us denote : [tex]X=[/tex] score X follows a normal distribution with mean [tex]=24[/tex] and standard deviation [tex]=1.5[/tex]

Step 2

The probability that someone scored 21.9 or less is :

[tex]\mathrm{P}(\mathrm{X} \leq 21.9)[/tex]

[tex]=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)[/tex]

[tex]=\mathrm{P}(\mathrm{Z} \leq-1.4)[/tex]

[tex]=0.0808[/tex]

[tex]=8.08%[/tex]

Answer : [tex]8.08 %[/tex]

Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ2

the answer os 60% of 20 is 12

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

2.5 hours or 2 hours and 39 min

Step-by-step explanation:

22.50/9

9514 1404 393

Answer:

Step-by-step explanation:

Let e represent the number of pounds of expensive chocolate in the bag. Then (3-e) is the amount of the other chocolate. The total cost of the bag will be ...

  6.00e +4.50(3 -e) = 15.00

  1.50e = 1.50 . . . . . . collect terms, subtract 13.50

  e = 1 . . . . . . . . . . . . .divide by 1.50

1 pound of expensive chocolate is used; 2 pounds of other chocolate is used.

Answer:

[tex] \frac{1} {2^{-1}}[/tex]

Step-by-step explanation:

[tex] \huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } } [/tex]

Answer:

volume of figure = 74 cm³

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.

a) Confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576

The margin of error (E) is given as:

[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]

The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)

Hence the 99% confidence interval is between 203.75 and 221.15.

b) The population mean is the same as the sample mean. Hence the population mean = $212.45

Answer:

a)

(4a - 3b + 4) + (a + 3b - 1) =

4a - 3b + 4 + a + 3b - 1 =

5a + 3

b)

(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =

2x^2 - 3x - 3 - x^2 - 6x + 8  =

x^2 - 9x + 5

c)

(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =

3m^2 + 5m - 6 - m^2 - 4n + 5 =

m^2 + 5m - 4n -1

d)

(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =

4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =

7x^3 - 8xy^2 - 5y^2

e)

(5m + 2lm) + (l^2 - 3m^2 - 2lm) =

5m + 2lm + l^2 - 3m^2 - 2lm =

5m + l^2 - 3m^2

Answer:

D

Step-by-step explanation:

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

Answer:

x = 12

Step-by-step explanation:

The sum of a heptagon interior angles is 900 degrees, so:

10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900

rearrange to make it easier to subtract/add, u don't have to do this it's optional

10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900

add liket terms

22x + 29x + 19 + 269 = 900

51x + 288 = 900

subtract 288 from both sides

51x = 612

divide by 51

x = 12

Answer:

the answer to this is a = 11/12

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

I think that it would be -4.5

Step-by-step explanation:

Have a great day!

Answer:

-4.5

Step-by-step explanation:

yeahhhhhhh

Answer:

20 inch

Step-by-step explanation:

500 divided by 25 is 20.

Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2

Answer:

Option (b) is true.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{100-x}[/tex]

plug in x = 5 in the function

[tex]f\left(5\right)=\sqrt{100-5}[/tex]

[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]

[tex]f(5) = 9.75[/tex]

plug in x = 10 in the function

[tex]f\left(10\right)=\sqrt{100-10}[/tex]

[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]

[tex]\:f\left(10\right)=9.49[/tex]

plug in x = 15 in the function

[tex]f\left(10\right)=\sqrt{100-15}[/tex]

[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]

[tex]\:\:f\left(15\right)=9.22[/tex]

Thus, the table will be:

x              f(x)

0              10

5              9.75

10             9.49

15             9.22

Therefore, option (b) is true.

Answer:

m, p

Step-by-step explanation: