h(0) = - 4
Step-by-step explanation:h(x) = - 3x - 4
h(0) = - 3×0 - 4
= 0 - 4
= - 4
Point Coordinate
A 0.31
B 0.33
C 0.38
D 0.29
Which number line shows the correct placement of the points in the table above?
A
B
C
D
Step 1:
First, let's order the number from least to greatest.
A. -0.31
B. -0.33
C. -0.38
D. -0.29
We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.
C. -0.38
B. -0.33
A. -0.31
D. -0.29
Step 2:
Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.
Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29
Our answer: Line A
Answer:
B: -0.3
Step-by-step explanation:
Jenna subscribes to a music service that allows her to pay a discounted price per song as long as she pays a membership fee. This is modeled by the expression .99x + 10. What does x represent?
Answer:
x is the song. she has to pay 99 cents per song.
What is the length of a side of the pentagon?
Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score. Which is the correct way to represent that "the opposite of Justine's score was equal to Meagan's score
Answer:
The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
Step-by-step explanation:
We know that the opposite of the opposite of a number, say 2, is the number itself.
That is:
Opposite of 2 is -2.
Then the opposite of -2 is:
- (-2) = 2
It is provided that:
Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score.Assume that both Justine and Meagan started with 0 score.
Justine plays first.
If Justine answered a question incorrectly, his score would be -7.
Then Meagan plays, and answers the question correctly.
So, Meagan got the opposite score.
The opposite of -7 will be [- (-7)].
Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
a²b-b² if a and=b-7
In the set, (1,4), (3,5) and (-1, 2), what is the range?
{2, 4, 5)
0_{1, 4, 3, 5, -1, 2}
O {1,3)
{-1, 1, 3}
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: , \: 4 \: , \: 5 \: }}}}}[/tex]
Step-by-step explanation:
Given,
{ 1 , 4 } , { 3 , 5 } , { - 1 , 2 }
To find : Range
Range are the set of all y - co-ordinates .
So,
Answer : { 2 , 4 , 5 }
Hope I helped!
Best regards!
Find the point-slope equation for
the line that passes through the
points (1,-9) and (-10, 101). Use
the first point in your equation.
y + 9 = [ ? ](x-[ ])
Answer:
Below in bold.
Step-by-step explanation:
The slope of the line = (101 - -9) / (-10 - 1)
= 110/ -11
= -10
The required equation is y + 9 = -10(x - 1)
Two angles are supplementary. They are represented by (3x)° and (12x+1)°. Find both angles.
Answer:
35.8°
144.2°
Step-by-step explanation:
Definition of Supplementary Angles: They add up to 180°
Step 1: Set up equation
3x + 12x + 1 = 180
Step 2: Solve
15x + 1 = 180
15x = 179
x = 11.93
Step 3: Find angles
∠1 = 3x
m∠1 = 3(11.93) = 35.8°
∠2 = 12x + 1
m∠2 = 12(11.93) + 1 = 144.2°
Simplify:
1. 3(5 + 2) -8 + 2(3) =
Answer:
19 is correct answer
Step 1:
3(5 + 2) -8 + 2(3)
Step 2:
15+6-8+6
Step 3:
27-8
Step 4:
19
hope it helped you:)
if one side of a square measures (3x - 8)ft., find the area of the square show work
Answer:
[tex]9x^{2}[/tex]-48x+64
Step-by-step explanation:
First, start off with what the area would look like with the equation plugged in.
[tex](3x-8)x^{2}[/tex]=area -----> (3x-8)(3x-8)
Second, multiply out the numbers in the ()s.
(3x-8)(3x-8) ---> (3x)(3x) = [tex]9x^{2}[/tex] --->(3x)(-8)=-24x----->(-8)(3x)=-24x------>(-8)(-8) = 64
Finally, you combine like terms and you have your answer.
[tex]9x^{2}[/tex]-24x-24x+64 -----> [tex]9x^{2}[/tex]-48x+64
Hoped this helped!
What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive property,inverse property of mulplication,commutative property of addition
Answer:
Addition Property of Equality.
Inverse property of multiplication.
Step-by-step explanation:
Given the equation:
[tex]7y-15=-29[/tex]
First of all, let us use Addition Property of Equality.
According to the property, if we add a number on both sides of an equality, there is no change in the equality.
In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.
First of all, let us add 15 on both sides of the equality:
[tex]7y-15+15=-29+15\\\Rightarrow 7y=-14[/tex]
Now, let us Inverse property of multiplication.
i.e. Multiplication of a number with its inverse is equal to 1.
[tex]a\times \frac{1}{a} = 1[/tex]
So, let us multiply the given equation with [tex]\frac{1}7[/tex]
[tex]7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2[/tex]
The properties used are:
Addition Property of Equality.
Inverse property of multiplication.
( 100 POINTS FOR EVERYTHING ) Need some help on this INTEGERS Worksheet. Not too difficult, but I don't have much time left. ( Use in this format v ) 1.) ?? 2.) ?? 3.) ?? etc..
Answer:
11) -11
12) -12
13) 7
14) -60
15) -56
16) -378
17) -126
18) -4
19) -3
20) -12
Answer:
see below
Step-by-step explanation:
1. 75
2. -14
3. 91
4. 67
5. 24
6. 112
7. 91
8. 44
9. 15
10. -11
11. -11
12. -12
13. 7
14. -60
15. -56
16. -378
17. -126
18. -4
19. -3
20. -12
what’s equivalent to 9m?
please help asap!!!
m-9
9/m
9+m
(9)(m)
Answer:
(9)(m)
Step By Step Explanation:
9m is multiplying. So you need to find the one that deals with multiplication.
m-9 is subtraction
9/m is division
9+m is addition
(9)(m) is multiplication
Hope this helps :)
Select three ratios that are equivalent to 8:20 Choose 3 answers: (A. 1:4
(B. 4:10
(C. 24:60
(D. 2:5
(E. 10:24
Answer:
8:20
divide by 2
B. 4:10
multiply by 3
C. 24: 60
divide by 4
D. 2:5
What is the equation of a vertical line passing through (-5, -2)?
O y = -2
O x = -5
O y = -3
O x = -7
Answer:
x=-5
Step-by-step explanation:
if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.
solve for x 1/4(4x-1)=-1/7-5/7
Answer:
[tex]x=-\frac{17}{28}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]
[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]
[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]
[tex]x = -\frac{17}{28}[/tex]
plug [tex]x[/tex] in the equation to make sure of your answer:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]
Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements?
Answer:
Kathy cannot compare the two measurementsStep-by-step explanation:
This problem seeks to tests our understanding of measurements and units
Kathy cannot compare the two measurements because the two units of measurement are not the same.
Now centimetres is 10 times bigger than millimetres.
What Kathy can actually do is to convert from one unit to another, that is from centimetres to millimetres.
Since the units are not similar Kathy cannot compare them but she can convert from one to the other
Solve the equation for X.
4+2(x-4)=-7(x+7)
x=5.9
x=-5
x=5
x=-7.4
Answer:
x = -5
Step-by-step explanation:
4 + 2(x - 4)= -7(x + 7)
4 + 2x - 8 = -7x - 49
2x - 4 = -7x - 49
2x + 7x = -49 + 4
9x = -45
x = -45/9
x = -5
The stem plot shows the number of swimming laps completed by swim team members at a single practice.
Row 1 has a 5 to the left of the bar and 7, 9 to the right. Row 2 has a 6 to the left of the bar and 1, 2, 3, 4 to the right. Row 3 has a 7 to the left of the bar and 6, 6 to the right. Row 4 has an 8 to the left of the bar and 2, 5, 9 to the right. Row 5 has a 9 to the left of the bar and no numbers to the right. Row 6 has a 10 to the left of the bar and no numbers to the right. Row 7 has an 11 to the left of the bar and no numbers to the right. Row 12 has a 12 to the left of the bar and a 5 to the right.
Key: 5|9 = 59 swimming laps
Which of the following is a correct statement about the distribution?
The question is incomplete. Here is the complete question.
The stem plot shows the number of swimming laps completed by the swim team members at a single practice.
5 7 9
6 1 2 3 4
7 6 6
8
9
10
11
12 5
What is a correct statement about distribution?
There no outliers
The distribution is symmetric
The center is around 80
The distribution is unimodal
The spread is from 57 to 89.
Answer: The distribution is unimodal.
Step-by-step explanation: Stem Plot is an unique way of writing numbers in a table. Each value is split into a "stem" (first digit or digits) and a "leaf" (usually the last digit).
For the swim team practice, we have:
57, 59, 61, 62, 63, 64, 76, 76, 125
Note that, although there the digits 8, 9, 10, and 11, there no "leaves" for them, so, the values are not part of the distribution.
Outlier is a value that lies outside most of other values. In the distribution there is the value 125 which is very much more than other values, i.e., it is an outlier, so, alternative "There no outliers" is false;
Ploting the values on a frequency graph, it shows a curve skewed to the right, i.e., deslocated to the right, then, it is not symmetric. Second alternative is false.
The center of the distribution is the middle value, which is 63, then, third statement is false.
The spread of this distribution is from 57 to 125, so fifth statement is incorrect.
An unimodal distribution is a distribution which has only one clear peak or most frequent value. At the swim team distribution, the value that appears more than once is 76, so the peak is at that value. The other values appears just once, so distribution has only one peak. Fourth statement is correct.
Which of the following is an example of a permutation?
Permutation
Step-by-step explanation:
Permutation is an example of the mathematics in which item are arranged in different way.For example ABC, ACB, BCA, CBA, CAB, BAC etc. The order of an arrangement are different in each alphabet. The product of number also be defined as in the form of n to 1 for example : 5*4*3*2*1 = 120Learn more: permutation
https://brainly.in/question/17438663Evaluate 4−2f when f=1
Answer:
2
Step-by-step explanation:
f=1
=4-2f
=4-2(1)
=4-2
=2
Hope this helps ;) ❤❤❤
Answer:
2Step-by-step explanation:
[tex]4-2f\\\\f =1\\4-2(1)\\=4-2\\= 2[/tex]
If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP
Answer:
Step-by-step explanation:
To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.
1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.
2). Join the point of intersection of these arcs to A and B with the help of a straightedge.
3). Hence an equilateral triangle (with all equal sides) is constructed.
When should you use the distributive property?
The distributive property is used when you have a value multiplied by 2 values separated by an operation.
For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
Answer:
3.6 in³
Step-by-step explanation:
If each cube is 1/5 inch:
15 cubes along the length = 15÷5 = 3 inches
5 cubes along the height = 5÷5 = 1 inch
6 cubes along the width = 6÷5 = 1.2 inches (1 and 1/5)
V=lwh=3*1*1.2= 3.6 in³
You buy a 625.05 mL container of dish soap. You already have
142.71 mL at home.
How many mL do you have in total?
ml
Answer:
You have 767.76 mL of soap.
Answer: 767.76 ml of dish soap.
Step-by-step explanation: 625.05+142.71=767.76.
i need some help thanks!
Answer:
1. square root 9/4
2. 5/3
3. square root 5
4. 2.5
Step-by-step explanation:
The first one would equal 1.5.
The second is 1.6.
The third is 2.2.
And obviously the last is 2.5.
Urgent!!!!!In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student is a
male given that they have an A?
Answer:
.85%
Step-by-step explanation:
You add up all the students who have an A whether they are male or female. 3 + 17 = 20. You have 17 males right? Divide 17 by 20 to get .85
To solve 2x+9=21, what is the first step?
Answer:
The first step is to subtract 9 from each side
Step-by-step explanation:
2x+9=21
The first step is to subtract 9 from each side
2x+9-9 = 21-9
2x = 12
Then divide by 2 on each side
2x/2 = 12/2
x = 6
Answer:
That would be to collect like terms
Step-by-step explanation:
Further explanation
[tex]2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6[/tex]
100 gives
PRT
The simple interest formula I
the interest I on a principal P invested at a
rate of R% per annum for T years.
a Find the interest when N150 000 is
invested at 5% per annum for 4 years.
b Find the principal that gains an interest of
N16100 in 5 years at 7% per annum.
Answer:
Step-by-step explanation:
a) P = N 150000
R = 5%
T = 5 years
Plug in the values P,R & T in the formula
I = PRT
[tex]I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\[/tex]
I = N 30000
b) I = N 16100
R = 7%
T = 5 years
[tex]PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}[/tex]
P= N 46000
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}[/tex]
Step-by-step explanation:
a. Given,
Principal ( P ) = N 150000
Rate ( R ) = 5 %
Time ( T ) = 4 years
Interest ( I ) = ?
Finding the Interest ( I )
[tex] \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}[/tex]
⇒[tex] \sf{interest = \frac{150000 \times 4 \times 5}{100} }[/tex]
⇒[tex] \sf{interest = \frac{3000000}{100}} [/tex]
⇒[tex] \sf{interest = N \: 30000}[/tex]
Interest = N 30000
------------------------------------------------------------
b. Given,
Interest ( I ) = N 16100
Time ( T ) = 5 years
Rate ( R ) = 7 %
Principal ( P ) = ?
Finding the principal
[tex] \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} [/tex]
⇒[tex] \sf{ \frac{16100 \times 100}{5 \times 7} }[/tex]
⇒[tex] \sf{ \frac{1610000}{35} }[/tex]
⇒N [tex] \sf{46000}[/tex]
Principal = N 46000
Hope I helped!
Best regards!!
Find the midpoint of the segment with the given endpoints
(-8,-9) and (-3,-1)
Please help me
Answer:
Step-by-step explanation:
(-8 + (-3))/2= -11/2 = -5.5
(-9+(-1))/2= -10/2 = -5
(-5.5, -5): midpoint