Find the slope of the line that passes through the pair of points
(-9,-6), (5,-1)
A -5/14
B undefined
C 5/14
D 14/5

Answer:

3y5 + 8y4 – 8y3

Step-by-step explanation:

2y5 – 6y3 + 1 + y5 + 8y4 – 2y3 – 1

2y5 + y5 + 8y4 – 6y3 – 2y3 + 1 – 1

3y5 + 8y4 – 8y3

Answer:

6

Step-by-step explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6

Answer:

[tex] \displaystyle a = 6[/tex]

Step-by-step explanation:

we are given a absolute value function

[tex] \displaystyle f(x) = a |x| [/tex]

we want to figure out the value of a

since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus

substitute:

[tex] \displaystyle 6= a \cdot |1| [/tex]

absolute value of any integer is positive therefore,

[tex] \displaystyle 6= a \cdot 1[/tex]

simplify multiplication:

[tex] \displaystyle 6= a [/tex]

hence,

the value of a is [tex]\underline{\quad 6 \quad}[/tex]

Answer:

-3√x

Step-by-step explanation:

(3-6) √x

= -3√x

Answer: 7.81

The formula is

y = 125* (1/2)^4

y = 125 / 16

y = 7.81

So at the end of the 4th week, the stock is worth only 7.81 dollars.

If that is not the motive and the first week doesn't count then the formula changes to...

y = 125 * (1/2)^(n-1)

y = 125 * (1/2)^3

y = 15.625 could be the other answer if you looked at it in that perspective

However, I would go with 7.81 as the answer.

Hope I helped :)

Answer:

1200

Step-by-step explanation:

72/4=$18 interest each year

amount x interest rate = interest

amount x .015 = 18

amount = 18/.015

amount = 1200

Answer:

[tex](a)\ f(x) =200(1.25)^x[/tex]

(b) 954 birds after 7 years

Step-by-step explanation:

Given

[tex]a = 200[/tex] --- initial

[tex]r =25\%[/tex] --- rate

Solving (a): The function.

This is represented as:

[tex]f(x) =a(1+r)^x[/tex]

So, we have:

[tex]f(x) =200(1+25\%)^x[/tex]

Express percentage as decimal

[tex]f(x) =200(1+0.25)^x[/tex]

[tex]f(x) =200(1.25)^x[/tex]

Solving (b): Birds after 7 years

This implies that we calculate f(7)

[tex]f(7) =200(1.25)^7[/tex]

[tex]f(7) =953.67[/tex]

[tex]f(7) =954[/tex] --- approximated

Answer:

The answers is B

y=5/4x-4

Answer:

190 mm^2

Step-by-step explanation:

Surface area of a rectangular prism=

2*length*width+2*width*height+2*length*height

2*9*2+2*2*7+2*9*7=190

190mm^2

Answer:

Answer is in the picture

2 is Length

9 is width

and 7 is height

Answer:

y = -7

Step-by-step explanation:

This is a horizontal line

The y value does not change

It is of the form y=

y = -7

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = k

where k is the y-coordinate of every point on the line.

We see that every point on this line has y-coordinate -7, so the equation is

y = -7

Answer:

Step-by-step explanation:

FRICTION impacts all machines and reduces energy.

Answer:

y = 10/8 = 1.125 or 1 1/4

Step-by-step explanation:

Inverse proportion means

xy = a constant.

In this case, the constant is given by the example,

x = 2 when y=5, so

xy=10

when x = 8, then

y = 10/8 = 1.125 or 1 1/4

Problem 1

The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.

6x = 30

x = 30/6

x = 5 is the answer

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

Problem 2

The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).

So,

5x+(3x+12) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21 is the answer

Answer:

94.2

Step-by-step explanation:

Answer:

C = pie x diameter

= 3.14 x 30

= 94.2 units

Step-by-step explanation:

first find the area of the semi circle

1/2πr²

1/2π(2ft)²

1/2π4ft²

6.2831853071795864ft²

area of shaded portion

area of a rectangle=length x width

4ftx2ft(2is half the diameter)

8ft²

subtract are of semi circle from the area of the rectangle

8ft²-6.2831853071795864ft²

1.7168146928204135ft²

Answer:

30 balloons

Step-by-step explanation:

$125 - $35 = $90

$90 ÷ $3 = 30

Answer: [tex]3^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature on Monday was [tex]-5^{\circ}C[/tex]

By Tuesday, it becomes [tex]-2^{\circ}C[/tex]

Change in temperature is the difference between the two temperatures.

[tex]\Rightarrow \Delta T=-2-(-5)\\\Rightarrow \Delta T=-2+5\\\Rightarrow \Delta T=3^{\circ}C[/tex]

Therefore, the change in temperature is [tex]3^{\circ}C[/tex].

Answer:

c

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

48÷2=24(9+3=12) =24×12=288

Error interval for x is 4.65 ≤ x < 4.75.

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

The error is rounding the number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit. so the error is half of 0.1 which is [tex]\frac{1}{2}[/tex] × [tex]0.1[/tex] = 0.05

∵ 4.7 + 0.05 = 4.75

and 4.7 - 0.05 = 4.65

Error interval for x is 4.65 ≤ x < 4.75.

Find out more information about error interval here

https://brainly.com/question/14103550

#SPJ2

Answer:

[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4}) = 14a^{5}+14a^{4}-10a^{3}-16a[/tex]

Step-by-step explanation:

Given

[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})[/tex]

Required

Simplify

We have:

[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})[/tex]

Open brackets

[tex]12a^{5}-6a-10a^{3}-10a+2a^{5}+14a^{4}[/tex]

Collect like terms

[tex]12a^{5}+2a^{5}+14a^{4}-10a^{3}-6a-10a[/tex]

[tex]14a^{5}+14a^{4}-10a^{3}-16a[/tex]

Hence:

[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4}) = 14a^{5}+14a^{4}-10a^{3}-16a[/tex]

Answer:

A = 68/5 ≈ 13.6

Step-by-step explanation:

If they're similar, the fraction between their sides have to be the same:

5/2 = 34/A

34•2/5 = A

A = 68/5 ≈ 13.6

Answer:

(3, -5).

Step-by-step explanation:

By the definition of inverses:

[tex]\text{If $f(a) = b$, then $f^{-1}(b)=a$}[/tex]

In other words, the inverse of a function returns the input when given the output of the original function.

We know that the point (-5, 3) lies on the graph of f(x). In other words:

[tex]f(-5)=3[/tex]

Then by definition:

[tex]f^{-1}(3)=-5[/tex]

So, the point (3, -5) must lie on the graph of f⁻¹(x).

Answer:

table C represents a linear function.

Answer: Its the first one

Step-by-step explanation:

Took the test review and got it correct.

Hope this helps peeps!

Check arithmetic

t4-t3 t3-t2

25-16 16-9

=9 =7

sequence is not arithmetic bcoz t4-t3 is unequal to t4-t3

check geometric

t4÷t3 t3÷t2

25÷16 16÷9

=1.6 1.7

sequence is not geometric bcoz t4÷t3 is unequal to t3÷t2

neither

9514 1404 393

Answer:

  D.  $101,000 – $120,000

Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.

Answer:

1200cm²

Step-by-step explanation:

(½*20cm*10cm)*2 + (½*20cm*50cm)*2

Answer:

60 * 40 / 2 = 120cm²

try to puzzle the triangles together to rectangles in your head

Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6