A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?

Answers

Answer 1

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Answer 2

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

y = 0.2x + 77109

Recall :

y = bx + c

c = initial number of hime runs = 77b = slope y = total career home runs x = number of games played

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

y = 0.2x + 77

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

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Related Questions

What does the x intercept represent?

Answers

it is the point at which the graph crosses the x-axis; (x,0)

Answer:

the x intercept is the y and x combined together crossing each other

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?

Answers

Answer:

Step-by-step explanation:

gud question

8) Fill in the chart for each equation.
EQUATION
SLOPE
Y-INTERCEPT I SLOPE
1) y = {x-4
2) y = -9x + 5

Answers

Answer:

Equation: y = x - 4

Slope: 1

y-intercept: -4

Equation: y = -9x + 5

Slope: -9

y-intercept: 5

Hope this helps!

Two lines are parallel. Which of the following statements are true?
Select two answers that apply.
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.

Answers

Answer:

The lines do not intersect. and The lines have the same slope.

Step-by-step explanation:

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

Here, we have,

given that,

Two lines are parallel.

we have, given options are:

The lines do not intersect.

The lines have the same slope.

The lines intersect and form 4 right angles.

The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.

now, we know that,

Parallel lines never intersect, and their slopes are equal.

The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.

so, we get,

The two statements that are true for parallel lines are:

The lines do not intersect.

The lines have the same slope.

learn more on parallel lines

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A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information

Answers

Answer: A

The number of distinctive prime factors in Column A is 60.

The number of distinctive prime factors in Column B is 30.

This number is 1/2 half more prime factors.

There is 30 more prime factors, so the answer is A.

The quantity in column A is larger than column B.

simply the following 2m⁵×5m³×7m²​

Answers

Answer:

[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]

Step-by-step explanation:

Simplify the expression

[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]

Combine the results:

[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]

need help ASAP, failing my classes atm stuggling in math

Answers

It’s b, use Desmos it helps a lot with this types of questions

Answer:

la respuesta es—6

esperó que te sirva

It takes dariya 35 seconds to download 5 song

Answers

Answer:

7 seconds per song?

Step-by-step explanation:

Answer:

I assume you're asking how long it takes to download 1 song, which would be 7 seconds.

Step-by-step explanation:

A study showed that the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7 based on the ratio, how many people in a town of 900 people get there news from social media

Answers

Answer: 270 people

Step-by-step explanation:

Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:

Fraction of people who gets there news from social media = 3/10

Fraction of people who got there news from other sources = 7/10

If there are 900 people, number of people who gets there news from social media will be:

= 3/10 × 900

= 3 × 90

= 270 people

Evaluate
14
P
- 4 - 2h when p=1 and h=4.

Answers

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

i need help it’s algebra 2

Answers

Answer:

I sorry can't help I'm doing Geometry

I'll give brainliest to correct answer
Fill in each blank with a reason that justifies the statement.​ Given: XY = 36
look at the screenshot

Answers

Answer:

[tex]b. \:distributive \: property \: of \: equality \\ c. \: collect \: like \: terms\\ d. \: addition \: property \: of \: equality \\ e. \: division \: property \: of \: equality [/tex]

how do i determine the dimensions of a rectangle

Answers

Area is Length x Width

Perimeter is 2L +2W

What is the slope of y=-1/2x+3

Answers

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

m ( slope ) = -½ .c ( y - intercept ) = 3 .

Hence the slope of the line is -½.

3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.

Answers

Answer:

$2.14

Step-by-step explanation:

x =  price

24x+(x+16) = 53.5

25x+16 = 53.5

25x+53.5

x=53.5/25=2.14

Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].

Answers

Answer:

ill help

Step-by-step explanation:

Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)

Answers

Answer:

            y =  -⁸/₉(x + 1)² +5

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of quadratic function with vertex (h, k)

y = a(x - (-1))² + 5    - vertex form of quadratic function with vertex (-1, 5)

y = a(x +1)² + 5

graph goes through (2, -3) so if x=2 then y =-3

-3 = a(2+1)² + 5

-3 -5 = a×3² + 5 - 5

 -8 = 9a

  a = -⁸/₉

So the equation of the function:

                                                    y =  -⁸/₉(x + 1)² + 5

Find the equation of the line that passes through the point (7,-8) and is perpendicular to the line y=1/8x-2

Answers

Answer:

y=-8x+48

Step-by-step explanation:

Slope is -8 because perpendicular slopes are negative reciprocals

Plug it in:

-8=7(-8)+b

48=b

use the rational exponent property to write an equivalent expression for

Answers

Answer:

i need to know what for

Step-by-step explanation:

Answer:

forrr rwhatttt

Step-by-step explanation:

Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answers

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Hope this helps!!!

Find the slope
-5/4
4/5
-4/5

Answers

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

x1 = -1 and x2 = 4

y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

The slope of the line is [tex]\frac{4}{5}[/tex]

Find out if a function is linear or nonlinear from a graph.

Answers

Step-by-step explanation:

Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.

Answer:

Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.

(5b+6)°
(4b-6)°

answer B=

Answers

Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

What is x (in degrees)

Answers

Answer: 4

Step-by-step explanation:

By the exterior angle theorem,

[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]

Cuantos ejes de simetría tiene un vaso una hoja de árbol piñata de 6 picos florero sin flores escalera y un árbol

Answers

Answer:

Una taza de vidrio tiene líneas verticales de simetría que pasan por la mitad del ancho perpendicular a la base.

Por lo tanto, una copa de vidrio bidimensional tiene una línea de simetría

Un par de anteojos tiene una línea de simetría que pasa por el punto medio del puente y es perpendicular al puente.

Una piñata de 6 puntas tiene tres ejes de simetría que atraviesan los tres pares lineales de piñatas.

Un jarrón bidimensional sin flores tiene líneas de simetría que pasan por el punto medio de la base y son perpendiculares a la base.

Una escalera simple tiene dos líneas de simetría, una que pasa por el punto medio y es perpendicular a la base, la otra es la línea de simetría horizontal que pasa por el punto medio de la longitud de la escalera y es perpendicular a la longitud de la escalera.

Step-by-step explanation:

The first term of an arithmetic sequence is 10 and its common difference is negative seven.

Answers

Answer:

A+(N-1)*D

10+(N-1)*(-7)

10+(-7N+7)

10-7N+7

-7N+17

Step-by-step explanation:

using this equation you can find the rest of the numbers in the sequence

12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?

Answers

Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

Rasha and Scott went to a bakery. Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70. Scott
bought 3 chocolate donuts for a total of $2.55.
What is the cost of one plain bagel at the bakery?​

Answers

Answer:

Step-by-step explanation:

Let b = bagels , d = donuts

Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70

We can write this as :

4b + 2d = 8.70

Scott bought 3 chocolate donuts for $2.55

3d = 2.55

First, let's find out the cost of 1 donut.

To do this, divide 2.55 by 3.

1d = 2.55/3 =0.85  (1 donut costs $0.85)

Substitute the value of d ( d = 0.85 ) into the equation 4b + 2d = 8.70

4b + 2d = 8.70

4b + 2 (0.85) = 8.70

4b + 1.7 = 8.70

Subtract 1.7 from both sides.

4b = 8.70 - 1.7

4b = 7

Divide both sides by 4 to find how much one bagel costs.

b = 7/4 = 1.75

Therefore, one bagel costs $1.75

plz help me with this ty

Answers

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

What is the value of x?
A)9.4
B)7
C)-9.4
D)-7

Answers

Answer:

we need to see the problem

Step-by-step explanation:

try sending a picture

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