Answer:
Here we have the statement:
" Every negative integer J is less than or equal to its inverse"
First, remember that when we are talking about negative numbers, the ones that are closer to 0 are the larger ones.
For example, if we have -1 and -5
-1 is closer to zero, then:
-1 > -5
Now we have a negative integer J.
The smallest negative integer is -1
it's inverse is 1/-1 = -1
Then, if j = -1:
j = 1/j
-1 = 1/-1 = -1
and if j < -1 (-2, -3, -4, -5.......)
then for example, for j = -2
1/-2 = - (1/2)
and (-1/2) is a number between -1 and 0
So it is closer to zero than -2
then:
(-1/2) > -2.
Then, concludin, if IjI > 1, we have always that 0 > 1/j > -1 > j.
For what value of a is a(2x+3)=9x+15+x an identity?
Answer:
Expand the left side, group like terms on both sides, and get
(2a)x + 3a = 10x + 15
To be true for all x, equate like terms from both sides and get
2a = 10
3a = 15
Solution: a = 5
You can test the answer.
Step-by-step explanation:
Expand the left side, group like terms on both sides, and get
(2a)x + 3a = 10x + 15
To be true for all x, equate like terms from both sides and get
2a = 10
3a = 15
Solution: a = 5
You can test the answer.
Every natural number is an integer. True or false?
Answer:
yes every natural number is integer
because intezer is collection of positive and negative numbers....
Answer:
Step-by-step explanation:
Hello friend!!!
It's TRUE
Natural numbers are the range of numbers from 1 to infinite.
Integers are made up of positive as well as negative numbers.
Since natural numbers are positive numbers, they are also integers.
Hope this helps
plz mark as brainliest!!!!!
Given directed line segment PR below, find the coordinates of Q on PR
such that the ratio of PQ to QR is 2:1.
Answer:
[tex](\frac{4}{3},-3)[/tex]
Step-by-step explanation:
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]
From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3} \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3[/tex]
Point Q is at [tex](\frac{4}{3},-3)[/tex]
What's the only place in this world who's Fahrenheit and Celsius degrees can be equal?
Antarctica , I think
Step-by-step explanation:
solve the given equation: 2 x ( x + 3 ) − 6 ( x + 3 ) = 0 2 x ( x + 3 ) - 6 ( x + 3 ) = 0
Answer:
x = 3 or x = -3
Step-by-step explanation:
Solve for x over the real numbers:
2 x (x + 3) - 6 (x + 3) = 0
Expand out terms of the left hand side:
2 x^2 - 18 = 0
2 x^2 - 18 = 2 (x^2 - 9):
2 (x^2 - 9) = 0
Divide both sides by 2:
x^2 - 9 = 0
x = (0 ± sqrt(0^2 - 4 (-9)))/2 = ( ± sqrt(36))/2:
x = sqrt(36)/2 or x = (-sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = 6/2 or x = (-6)/2
6/2 = 3:
x = 3 or x = (-6)/2
(-6)/2 = -3:
Answer: x = 3 or x = -3
A new top-selling DVD is marked 20% off at Discount DVD, where it normally sells for $29.90. The same disc sells for $28.60 at Value Video, where you have a coupon for 15% off anything in the store. Where would you buy the DVD? Explain how you decided and be sure to include work to support your answer.
Answer:
You would buy the DVD at Discount DVD.
Step-by-step explanation:
To decide where to buy the DVD, you have to determine the price at each store after the discount is applied.
-Discount DVD: $29.90*0.2=$5.98
$29.90-$5.98=$23.92
-Value Video: $28.60*0.15=$4.29
$28.60-$4.29=$24.31
According to this, you would buy the DVD at Discount DVD because it is where you will get the lower price.
Use calculator to decide whether each statement is true or false. It may be that a true statement will lead to results that differ in the last decimal place due to rounding error.
tan² 72° 25' + 1 = sec² 72° 25'
Answer: 72.416
Step-by-step explanation:
Michael solved this inequality as shown: Step 1: -6(x + 3) + 10 < -2 Step 2: -6x − 18 + 10 < -2 Step 3: -6x − 8 < -2 Step 4: -6x < 6 Step 5: x > -1 What property justifies the work shown between step 3 and step 4? A. transitive property B. division property of inequality C. distribution property D. addition property of inequality
Answer:
D. addition property of inequalityStep-by-step explanation:
Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6
From step 3;
-6x − 8 < -2
Michael got the step 4 by adding 8 to both sides of the inequality as shown;
-6x − 8 + 8 < -2 + 8
-6x < 6 (Step 4)
Since Michael added 8 to both sides of the inequality, the property that justifies the transition from step 3 to step 4 is the addition property of inequality. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.
When I take half of my number and add two, I get twenty-four. What is my number?
A map has a scale of 6 in. = 8 mi. If you measured the distance between two cities to be 25 in. On the map, how many miles would it actually be?
Answer:
33 2/6 miles
Step-by-step explanation:
So we know that every 6 inches equals 8 miles. To find one mile, we would divide both sides by 8, so every 6/8 of an inch is 1 mile. if the two cities are 25 in apart on a map, that means that we can first do 6*4:8*4 for the ease of it to get 24 inches and 32 miles. So so far it's already 32 miles. Then we have to calculate the leftover one inch. To find out how many miles one inch is, we can divide both sides by 6, so one inch=8/6 of a mile.
So then we add 32+8/6=33 2/6
Tell me if that works for you
Korey completely covered a square counter top using 103.5 ft² of tile without any overlap. Which measurement is closest to the side length of this counter top in feet? A. 10 ft B. 11 ft C. 27 ft D.55 ft
The measurement is closest to the side length of this counter top in feet is 10.17ft
Area of a squareThe formula for calculating the area of a square is expressed as:
area of a square = L^2
where
L is the length of a square
Given the following parameter
A = 103.5ft^2
Substitute
103.5ft^2 = L²
L = √103.5
L = 10.17ft
Hence the measurement is closest to the side length of this counter top in feet is 10.17ft
he measurement is closest to the side length of this counter top in feet is 10.17ft
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help me with this please! I haven’t found the solution since 11:30 am
Answer:
PT = 22
Step-by-step explanation:
Given that T is the midpoint of PQ, then
PT = TQ , substitute values
5x + 2 = 7x - 6 ( subtract 5x from both sides )
2 = 2x - 6 ( add 6 to both sides )
8 = 2x ( divide both sides by 2 )
4 = x
Thus
PT = 5x + 2 = 5(4) + 2 = 20 + 2 = 22
Answer those please
11.) 0.5.
12.) 0.25.
13.)1/2,0.49,55%.
14.)2/5,0.6,35%.
15.) To get a whole number from a fraction you have to multiply the fraction by the denominator of the fraction=5/9×9=5.
or you can say that can add 4/9 to 5/9=9/9=1 a whole number also
which expression is equivalent to (-4^-5)^0
Answer:
can't see the options.
Step-by-step explanation:
Find the coordinates of point A, if point M(-1, 2) is the midpoint of segment AB and B has coordinates of (3, -5) A. ( -5, 9) B. ( 1, -1 ) C. ( 4, 3) D. ( -2 , 4)
Answer:
A. (-5,9)
Step-by-step explanation:
hard to explain but i found the distance of M and B which is (4,7). using this i added that with M which equals (-5,9)
(sorry for bad explanation)
The number of adult tickets sold at a school talent show, a, is 5 less than 3 times the number c of children’s tickets sold. Which equation represents the number of adult tickets sold?
Answer:
3c - 5
steps: A=3c+5
Express the formula d=rt in teens of the time, t use your formula to find the time the distance is 49 and the rate is 8.
Answer:
d=rt
rt=d
t= d/r
t= 40/8
t= 5
How many solutions does the equation −4a + 4a + 3 = 8 have?
Answer:
none
Step-by-step explanation:
Answer:
It does not have any solution because 3 is not equal to 8
Evaluate the expression for the given value of x.
−7x + 6 for x = −7
Answer:
[tex]\Huge \boxed{\mathrm{55}}[/tex]
Step-by-step explanation:
[tex]-7x + 6[/tex]
Put x as -7 and evaluate the expression.
[tex]-7(-7)+6 \\\\\\ 49+6 \\\\\\ 55[/tex]
Which expression represents the measure of segment RS? A.7x – 3 B.7x + 5 C.x + 5 D.x – 3
Answer:
D) x-3
Step-by-step explanation:
(4x+1)-(3x-4)=
4x-3x+1-4=
x-3
Please help, find what X is. 42 - X = 29
Answer:
X = 13
Step-by-step explanation:
42 - X = 29
Subtract 42 from each side
42-42 - X = 29-42
-X = -13
Multiply each side by -1
X = 13
help me pls brainliest+10pts
Answer:
It is A
Step-by-step explanation:
It is A: it shows the total change in Akash's account because he paid the bill
In a bank statement the amount that you pay always shows negative it means the money withdraw from the account
Please Hurry!!! THANKS!!
Answer:
first one is A. I have no idea what the second is. good luck, it might be D.
Answer:
1) 3x³ - x² - 15x + 5
2) x² - 4
3) (5, 3)
4) f⁻¹(x) = 1/3x - 4
Step-by-step explanation:
1......................
Givenf(x) = 3x - 1g(x) = x² - 5f(x) · g(x) =?Solution f(x) · g(x) = (3x - 1)(x² - 5) =3x·x² - 3x·5 - x² + 5 =3x³ - x² - 15x + 5Correct option is A.
2......................
Givenf(x) = x²g(x) = x - 4g(f(x)) =?Solutiong(f(x)) = g(x²) = x² - 4Correct option is D.
3......................
Point (5, 3) is the inverse of point (3,5)
Correct option is C
4......................
Givenf(x) = 3x - 12Inverse of function = ?SolutionTo get the inverse of the function, switch over domain and range:
x = 3f⁻¹(x) - 123f⁻¹(x) = x - 12f⁻¹(x) = 1/3x - 4Correct option is D.
Need to find x please.
Answer:
4 MIUSE 90 PLUSE 22
Step-by-step explanation:
what is 5/13 rounded to the nearest tenth
Answer:
5 thirteenth ti the nearest tenth Is .6
Answer:
0.4
Step-by-step explanation:
First make it a decimal:
5/13 (divide)
0.38 (round)
So you get 0.4
Mia is making fruit punch for her birthday party. She puts 120 milliliters of cherry juice into a pitcher. Then she adds 250 milliliters of raspberry juice. She tops it off with sparkling water. How many milliliters of juice does she use?
Answer: She used 370 milliliters of juice
Step-by-step explanation:
perform the indicated operation. 2i(3-4i)+8(4-5i)(4+5i)
Answer: 336+6i
The key to solving this problem is to choose which parts you should solve first.
2i(3-4i)+8(4-5i)(4+5i)
let's divide this expression to three parts:
2i(3-4i), 8 and (4-5i)(4+5i)
first let's solve 2i(3-4i):
2i(3-4i) =
2i × 3 + 2i × -4i =
6i - 8i² =
6i + 8
(4-5i)(4+5i):
(4-5i)(4+5i) =
16 + 20i - 20i -25² =
16 + 25 =
41
8(4-5i)(4+5i):
8(4-5i)(4+5i) = 8 × 41 = 328
Now let's put back these parts:
2i(3-4i)+8(4-5i)(4+5i) =
6i + 8 + 328 =
6i +336 OR 336 +6i
Christopher has breakfast at a cafe and the cost of his meal is $36.00dollar sign, 36, point, 00. Because of the service, he wants to leave a 10%, percent tip.
Answer: $39.60
Step-by-step explanation:
Here is the correct question:
Christopher has breakfast at a cafe and the cost of his meal is $36.00 . because of the service he wants to leave a 10% tip.What is his total bill including tip?
His total bill will be the addition of the cost of his meal and the tip. This will be:
= $36.00 + (10% × $36.00)
= $36.00 + $3.6
= $39.60
His total bill including tip is $39.60
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax). How much will someone earning $43,047 a year pay towards social security?
Answer:
$1807.94
Step-by-step explanation:
Given that:
Annual income = $43047
Social security (FICA tax) = 4.2% of the gross wages
To find:
Social security paid = ?
Solution:
Social security (FICA tax) is calculated by finding the 4.2% of the Total Gross Annual income.
i.e. for the given value, the social security paid can be calculated as:
4.2% of $43047
[tex]\Rightarrow \dfrac{4.2}{100}\ of \ \$43047\\\Rightarrow \dfrac{42}{1000}\times 43047\\\Rightarrow 0.042\times 43047\\\Rightarrow \bold{\$1807.97}[/tex]
Therefore, the Social Security paid is $1807.94.
Can a translation, a reflection, or a rotation of a figure ever result in an image with
a different size or shape? Explain.
Answer:
no, it will always be the same size and image just in a different placement.
Step-by-step explanation:
No, a translation, a reflection, or a rotation of a figure never results in an image with a different size or shape.
What is a translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
Hence, a translation, a reflection, or a rotation of a figure never results in an image with a different size or shape.
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