Suppose the function of h is defined, for all real numbers as follows: (f) x = -3 if x is <) 3 if x is =0 -2 if x is > 0

Answer:

• Shanna had $10 in her piggy bank and earned $5 each week in allowance.

Step-by-step explanation:

Week 0 dollars = 10

This means Shanna had $10 her piggy bank before the week started

Week 2 dollars = 20

Her account has increased from 10 to 20 dollars in two weeks. This means she is earning

Amount earned per week = change in earnings / change in week

= 20 dollars - 10 dollars / Week 2 - week 1

= 10 dollars / 2 weeks

= 5 dollars per week

Amount earned per week = $5

Therefore,

• Shanna had $10 in her piggy bank and earned $5 each week in allowance

Answer:

option b

Step-by-step explanation:

cuz its the only one that makes sense

Answer:

[tex]a^{6} a^{9} = a^{15}[/tex]

Step-by-step explanation:

is this the question ///

Write the expression a^15 as a product of two exponents with the same base, one of which equals: a^6

if so ...

[tex]a^{6} a^{9} = a^{15}[/tex]

Answer:

b = 5

Step-by-step explanation:

△STR ≅ △LMN

This means the corresponding sides are equal.

SR and LN are corresponding sides.

SR and LN are equal.

The value of b is 5.

The value of SR is 43

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

△STR ≅ △LMN

This means the corresponding sides are equal.

SR = 7b + 8

LN = 11b − 12

SR and LN are corresponding sides.

SR and LN are equal.

So,

7b + 8 = 11b − 12

Subtract 7b on both sides.

8 = 11b - 7b - 12

Add 12 on both sides.

8 + 12 = 4b

20 = 4b

b = 20/4

b = 5

Now,

SR:

= 7b + 8

= 7 x 5 + 8

= 35 + 8

= 43

Thus,

The value of b is 5.

The value of SR is 43

Learn more about triangles here:

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Answer:

rs.6,300

Step-by-step explanation:

Simple Interest, S.I. = Rs. 1260 =  

100

PR×2

​  

 =    

50

PR

​  

          -(i)

Compound Interest, C.I. = Amount(A) - Principle(P)

=P(1+  

100

R

​  

)  

2

 - P = PR(R/10000+1/50)=Rs.1323         -(ii)

Dividing (ii) by (I),

200

R

​  

+1 =  

1260

1323

​  

⇒Rate,R=10%p.a.

Now,  

100

PRT

​  

=1260

⇒  

100

P×10×2

​  

=1260

The amount of money that we need to deposit in the bank to get RS 1225 is RS 1100.03.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

Suppose we need to deposit the P amount to get RS 1225

By compound interest formula,

1125 = P(1 + 0.05)^(9/2)

P = RS 1100.03

Hence "We need to deposit Rs. 1100.03 in the bank in order to receive Rs. 1225".

For more information about compound interest,

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Answer:

A reflection across the x axis

Step-by-step explanation:

Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'

Answer:

320

Step-by-step explanation:

r = 4, so 2 x 4 = 8.

s = 6 and t = 3, so 6 x 3 = 18. 18 squared is 324.

u = 12, so 8 + 324 - 12, which equals 320.

Answer:

-2 is an extraneous solution because it creates 0 in the denominator.

There is one acceptable solution to the equation

Step-by-step explanation:

x² + 5x + 6 = x² + 2x + 3x + 6

                  = x(x + 2) + 3(x + 2)

                  = (x + 2)(x + 3)

[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]

x² + 3x + 2 = 5x + 10

x² + 3x - 5x + 2 - 10 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2) - 4(x + 2) = 0

(x + 2)(x - 4) = 0

x +2 = 0    or x - 4 = 0

x =  - 2    or x = 4

Answer:

8

Step-by-step explanation:

Use Basic Thales theorem,

[tex]\frac{24}{x}=\frac{36}{12}\\[/tex]

Cross multiply

24 * 12 = 36 * x

[tex]x = \frac{24*12}{36}\\\\[/tex]

x = 8

Answer:

sin X =35/37

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin X = opp side / hypotenuse

sin X =35/37

Answer:

A ; B ; D

Step-by-step explanation:

(3+1)/12 = 1/3 (ok)

(-5+1)/-2 = -4/-2 = 2 (ok)

(1+1)/-3 = -2/3 (no)

(15+1)/1 = 16 (ok)

(-2 + 1)/5 = -1/5 (no)

Angle 2 and Angle 4 are same-side interior angles, which are supplementary.

(2x + 10) + (4x + 80) = 180

6x + 90 = 180

6x = 90

x = 15

Hope this helps!

Answer:

X = 15

Step-by-step explanation:

Angle 2 = Angle 3 since they are alternate angles

Now, angle 3 and 4 should add up to 180 since they are on a straight line

∴ (2x + 10) + (4x + 80) = 180

   6x + 90 = 180

     6x = 180 - 90

     6x = 90

       x = 15

HOPE THIS HELPS

Answer:

-1

Step-by-step explanation:

We can use the slope formula since we are given two points

m = (y2-y1)/(x2-x1)

    = (-16- -10)/(8-2)

   = (-16+10)/(8-2)

   = -6/6

   = -1

Answer:

The third table

Step-by-step explanation:

When a function decrease over a interval, the numbers between the interval and the latest interval included must be lesser than the original first interval.

In other words, the y value for -2 must be greater than the numbers between 0 and -2 in order for the interval be decreasing.

The third table show that

Answer:

18c - 30d + 36

Step-by-step explanation:

To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.

6(3c - 5d + 6)

(6 · 3c) + (6 · -5d) + (6 · 6)

18c + -30d + 36

As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.

Answer:

$425

Step-by-step explanation:

Let x represent the number of bracelets made and let y represent the number of necklace made.

Since the craftsman has 1000 beads to work with, hence:

10x + 20y ≤ 1000    (1)

Also, the craftsman has 1600 minutes, hence:

10x + 40y ≤ 1600   (2)

From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).

Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:

Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425

Answer:

d) The function ƒ(x) has a steeper slope than g(x)

Step-by-step explanation:

We are given that

[tex]f(x)=-2x-7[/tex]

The graph g(x) passing through the point (1.2,0) and  (0,4).

Let

y=f(x)=-2x-7

Slope of function f(x)

[tex]m=\frac{dy}{dx}=-2[/tex]

Slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the formula

Slope of g(x)

[tex]m'=\frac{4-0}{0-1.2}[/tex]

[tex]m'=-3.33[/tex]

Slope of g(x)=-3.33<-2

Slope of f(x) is greater than slope of g(x).

Therefore, function f(x) has a steeper slope than g(x).

Option d) is correct.

Answer:

It's not D its A I Just took the test.

Step-by-step explanation:

Good luck!

Answer:C

Step-by-step explanation:

Hello!

Answer: C. x² - 64 - 0

Good luck! :)

Answer:

The third option with the right angle

Step-by-step explanation:

By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.

Answer:

m=-2

Step-by-step explanation:

As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0

here a=2, b=+8, c=-m^3

Given c/a=4

-m^3/2=4

-m^3=8

m^3= -8

m=-2.

Answer:

b translation

Step-by-step explanation:

Dilation means that it gets bigger or smaller

translation means a shift

reflections means that it flips across a line of symmetry

rotation means that it rotates across a point

We shifted the figure down and to the right.  It appears to be the same size and shape

I would go with a translation

Answer:

The slope is undefined

Step-by-step explanation:

Since x doesn't have an existing value it leaves the slope as undefined.

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations

Step-by-step explanation:

Relative frequency measures how often a value appears relative to the sum of the total values.

An example of how relative frequency is calculated

Here are the scores and frequency of students in a maths test

Scores (classes)              Frequency                Relative frequency

0 - 20                                10                               10 / 50 = 0.2

21 - 40                               15                               15 / 50 = 0.3

41 - 60                               10                               10 / 50 = 0.2

61 - 80                                5                                 5 / 50  = 0.1

81 - 100                             10                                10 / 50 = 0.2

                                          50                                               1

From the above example, it can be seen that :