Answer:
[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
[tex]\rule[225]{225}{2}[/tex]
85+(-96)=? 86+(-38)=? 22+(-41)=?
Answer:
1) 85+(-96)=-11
2) 86+(-38)=48
3) 22+(-41)=-19
Step-by-step explanation:
1)
Here you are adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.
Think about it like 96-85=11, but it was flipped so negative 11.
-11
2)
86+(-38) is the same as 86-38
48
3)
Here you are also adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.
Think about it like 41-22=19, but it was flipped so negative 19.
-19
Hope this is helpful :-)
The distance between-3 and its opposite is ? ..... units
Answer:
6
Step-by-step explanation:
The opposite of -3 is 3. Opposite numbers are numbers that when added, sum to 0. The distance between 3 and -3 is |3 - (-3)| = |3 + 3| = |6| = 6.
In order to join a tennis class you pay $200 annual fee then $10 for each class you go to. What is the average cost per class if you go to 10 classes
Answer:
the average cost if you go to ten classes plus the 200 plus 100 it will equal 300
Step-by-step explanation:
200 annual fee then 10+10+10+10+10+10+10+10+10+10 equal 100 so 200+100 equal 300 for the 10 classes plus the annual fee.
pam opened a bank account with a $200 deposit the acount had a simple intrest rate of 4.6% her most recent bank statement showed a balence of $328.80 if she made no deposits or withdrawels how long ago was the bank acount opened
Plz explain
Answer:
14 years
Step-by-step explanation:
To find the answer you have to use the formula to calculate time:
t=(1/r)(A/P-1), where:
t=time
r=rate of interest=4.6%
A=accrued amount=$328.80
P=principal amount=$200
t=(1/0.046)*(328.80/200-1)
t=21.74*(0.644)
t=14
According to this, the answer is that she opened the bank account 14 years ago.
CAN SOMEONE PLEASE HELP ME
Answer:
Option 3
Step-by-step explanation:
AX and XB are congruent because we know that CD is a perpendicular bisector of AB.
The word "bisector" indicates that AB is cut into two equal parts, which allows us to make that claim.
<AXC≅<BXC because they are both equal to 90 degrees. This is because perpendicular means that the two lines are meeting at a 90-degree angle. Since both of them are 90 degrees, they are congruent.
Lastly, we know that XC ≅ XC since they are the same side.
With that in mind, we are able to prove that triangle AXC and BXC are congruent by SAS or side angle side. (The angle is between the two sides)
The correct choice would be option 3.
I need help On these 8 questions that are blank
Answer:
X = 5
Step-by-step explanation:
3x + 12 + 9x = 72
okay hopefully i can explain so when your doing this combine like terms so
3x + 9x = 12x
12x + 12 = 72
then you would subtract both sides by 12
+12 = subtract x+12=2
- 12 = add x-12=2
there just flipped so in this case i would subtract 12
12x + ( 12-12) = ( 72-12 )
so 12-12 = 0 and 72-12 is equal to 60
12x = 60
the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5
so X = 5
hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps
Need help ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol
Answer:
√2, pi.
Step-by-step explanation:
An irrational number cannot be written as a fraction a/b where a and b are integers ( not = 0)..
ASAP ASAP ASAP PLEASEEEEEEEE
Answer:
Rational number
Step-by-step explanation:
Rational is the only one that repeat.
A full 500L tank of water is being drained at a rate of 5L per minute into an empty tank. How long will it take for the tank to have the same amount of water? Please help and thank you very much!!!!
Answer:
100 minuets aka 1 hour and 40 minuets
Step-by-step explanation:
It would be 100 because 500÷5=100
a submarine is 50 meter below sea levl. it goes up 15 meters, then goes down 40 meters. what is the submarine' new position relative to sea level ? 1. ( -105 meters) 2. ( -75meters) 3.( -35 meters) 4. ( 25 meters)
Answer:
-75 meters
Step-by-step explanation:
First, subtract 15 from 50, since it is going up:
50 - 15
= 35
Then, add 40, since it is going back down:
35 + 40
= 75
So, the new position is -75 meters relative to sea level
First condition of submarine=50 m below the sea=-50 m
It goes up 15 m, that means we must add up 15 m.
-50 m+15 m=
15 m-50 m=-35 m (35 m below the sea)
And, then goes down 40 m, so we subtract it with 40 m.
-35 m-40 m=-75 m (75 m below the sea)
So, the right answer is 2. (-75 meters)
Thank you.
FUNCION AFÍN O LINEAL. Una empresa de gas cobra el servicio del siguiente modo: un cargo fijo de $140, mas un importe por el consumo mensual a razon de $25 el m3. A) ¿cuanto debera abonar la familia a la que se le registro un consumo de 140 m3 en el mes de mayo? (Los meses no es de importar :3) B) ¿cual es la formula que define esta funcion para un numero "x" de m3 consumidos? C) representar graficamente la situacion planteada D) ¿que representa en este caso la ordenada al origen? Si alguien me ayuda, de verdad se lo agradezco
Answer:
El costo es:
Primero tenemos un cargo fijo de $140.
Luego tenemos un $25 por cada m^3 consumido.
Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:
C(x) = $140 + $25*x.
Esto es una relación linear.
A) En este caso tendríamos x = 140
C(140) = $140 + $25*140 = $3640
B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.
C) El grafico estará al final. En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.
D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.
Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y ?
Answer:
y = [tex]\frac{1}{x}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then
3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )
3 × [tex]\frac{1}{3}[/tex] = k
1 = k
y = [tex]\frac{1}{x}[/tex] ← equation of variation
A(0,a) is equidistant from P(3,-3) and Q(-2,2). Find a.
Answer:
a = - 1
Step-by-step explanation:
Given the points are equidistant from A then AP = AQ
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = P(3, - 3)
AP = [tex]\sqrt{3-0)^2+(-3-a)^2}[/tex] = [tex]\sqrt{3^2+(-3-a)^2}[/tex] = [tex]\sqrt{9+(-3-a)^2}[/tex]
Repeat with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = Q(- 2, 2)
AQ = [tex]\sqrt{(-2-0)^2+(2-a)^2}[/tex] = [tex]\sqrt{(-2)^2+(2-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex]
Equating AP and AQ
[tex]\sqrt{9+(-3-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex] ( square both sides )
9 + (- 3 - a)² = 4 + (2 - a )² ← expand parenthesis on both sides
9 + 9 + 6a + a² = 4 + 4 - 4a + a² ( subtract a² - 4a from both sides )
18 + 10a = 8 ( subtract 18 from both sides )
10a = - 10 ( divide both sides by 10 )
a = - 1
The value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
A(0,a) is equidistant from P(3,-3) and Q(-2,2).
It is required to find the value of a:
Using the distance formula:
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AP = AQ
[tex]\rm \sqrt{(3-0)^2+(-3-a)^2} = \sqrt{(-2-0)^2+(2-a)^2}[/tex]
After simplification:
9 + (3 + a)² = 4 + (2 - a)²
9 + 9 + 6a + a² = 4 + 4 - 4a + a²
18 + 10a = 8
10a = - 10
a = - 1
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
Thus, the value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1
Learn more about the order double here:
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Can someone please help me with this
Answer: [tex]3x^6+x^5-x^4-6x^3+x^2+3x-1[/tex]
Step-by-step explanation:
(3x^2+x-1)(x^4-2x+1)
=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1
=3x^6+x^5-x^4-6x^3+x^2+3x-1
Hope this helps!! :)
Please let me know if you have any question
Answer:
the thing below xd
Step-by-step explanation:
[tex](3x^{2} +x-1)(x^4-2x+1)\\\\=3x^2(x^4-2x+1)\\+x(x^4-2x+1)\\-1(x^4-2x+1)\\\\=3x^6-6x^3+3x^2\\+x^5-2x^2+x\\-x^4+2x-1\\\\=3x^6+x^5-x^4-6x^3+(3-2)x^2+(1+2)x-1\\\\=3x^6+x^5-x^4-6x^3+x^{2} +3x-1[/tex]
If r = 10 units and h = 5 units, then what is the volume of the cylinder?
Answer:
Volume of a cylinder=1/2πr^2h.
1/2×3.142×10^2×5.
1/2×3.142×100×5.
1/2×1571
=785.5
Answer:
About 1570.8
Step-by-step explanation:
Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.
a. where does the parentheses go in 8+9÷3×6-5 to make a value of 11
b. where does the parentheses go in 5+3-8÷4-2 to make a total of 4
Answer:
8+9÷3×(6-5) 5+3-8÷4-2Step-by-step explanation:
[tex]8+9\div3\times6-5\\= 8+9\div \:3\times \left(6-5\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(6-5\right)\::\quad 1\\=8+9\div \:3\times \:1\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\div \:3\times \:1\::\quad 3\\=8+3\\\\= 11[/tex]
[tex]5+3-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=5+3-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5+3-2-2\::\quad 4\\=4[/tex]
[tex]\left(5+3\right)-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5+3\right)\::\quad 8\\=8-8\div \:4-2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=8-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-2-2\::\quad 4\\=4[/tex]
If f(x)=x^4+4 and g(x)=x-8 then what is f of
g(x)
Answer:
x⁴-32x³+384x²-2048x+4100
Step-by-step explanation:
f(g(x))= g(x)⁴+4
and simplify it
All of the following fractions are proper fractions, except A.11/12 B.7/5 C.1/6 D.8/15
answer:
A.7/5 is the correct answer because numerator is more than denominator.
thank me plz
Answer:
the answer is A
Step-by-step explanation:
Question (Multiple Choice Wor (07.01) Which of the values in the set {3,4,5,6) is a solution to the equation 4x + 2 = 22? 3 4 5 6
Answer:
4x+2=22
4x+2-2=22-2
4x=20
4x/4=20/4
x=5
Find the highest common factor (HCF) of 84 and 120
Answer:
GCF-12
Step-by-step explanation:
Find the prime factorization of 84
84 = 2 × 2 × 3 × 7
Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
GCF = 12
Answer: The GCF is 12
Step-by-step explanation:
84=2*2*3*7
120=2*2*2*3*5
So, the GCF is 2*2*3=12
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3X -5 equals negative 2X +10
Answer:
[tex]5x= 15[/tex]
Step-by-step explanation:
Given
[tex]3x - 5 = -2x +10[/tex]
Required
Write the variables and constants on different sides
[tex]3x - 5 = -2x +10[/tex]
Add 2x to both sides
[tex]2x + 3x - 5 =2x -2x +10[/tex]
[tex]5x - 5 =10[/tex]
Add 5 to both sides
[tex]5x - 5 + 5 = 10 + 5[/tex]
[tex]5x= 10 + 5[/tex]
[tex]5x= 15[/tex]
Hence, the equation is
[tex]5x= 15[/tex]
Solving further [divide both sides by 5]
[tex]x = 3[/tex]
I think it is -5=x
Step-by-step explanation:
the lowest temperature ever recorded on Earth is -94.7 this was recorded in August 2010 in Antarctica. Before this date, the previous record was at -89.2 What is the difference between these two extreme temperatures?
Answer:
5.5
Step-by-step explanation:
The lowest temperature ever recorded on Earth is =-94.7
Before this date, the previous record was at= -89.2
the difference between these two extreme temperatures=-89.2-(-94.7)
=-89.2+94.7
=5.5
The difference between these two extreme temperatures is 5.5
Charles measured three pieces of string.The strings measured 7.68 inches,3.9 inches,and 2.2 inches.What is the difference in length between the longest string and the shortest string
Answer:
5.48
Step-by-step explanation:
Given length of three strings:
[tex]\text{Length of first string}, L_1=7.68\ inches\\\text{Length of second string}, L_2=3.9\ inches\\\text{Length of third string}, L_3=2.2\ inches[/tex]
To find:
The difference in length between the longest and the shortest string?
Solution:
First of all, let us compare the given three decimal numbers.
We check the number before decimal first of all.
We can see that the numbers are 7, 3, and 2.
7 being the largest [tex]L_1[/tex] is the longest string.
2 being the smallest [tex]L_3[/tex] is the shortest string.
So, the difference is:
[tex]L_1-L_3=7.68-2.2\\\Rightarrow \bold{L_1-L_3=5.48 }[/tex]
So, the answer is 5.48.
3(y+3)+7(2y-8)-(y-1)=0
Answer:
We have this equation:
[tex]3(y+3)+7(2y-8)-(y-1)=0[/tex]
First, we do the parenthesis:
[tex]3y+9+14y-56-(y-1)=0\\[/tex]
When there is a minus (-) in front of a parenthesis, all signs change inside it:
[tex]3y+9+14y-56-y+1)=0\\[/tex]
Now we operate:
[tex]16y-46=0[/tex]
We add 46 on both sides:
[tex]16y - 46 + 46 = 0 +46[/tex]
[tex]16y = 46[/tex]
And divide 16 on both sides:
[tex]\frac{16y}{16}=\frac{46}{16}[/tex]
[tex]\bol{x = \frac{46}{16}}[/tex] = [tex]\frac{23}{8}[/tex]
Answer:
Step-by-step explanation:
3(y+3)+7(2y-8)-(y-1)=0
3y + 9 + 14y - 56 - y + 1 = 0
16y - 46 = 0
16y - 46 + 46 = 0 + 46
16y = 46
16y/16 = 46/16
y = 23/8
Mai had 5 candy bars she ate half of one candy bar and dicided to distribute the remaining bars between her two sisters and her self how many candy bars did each girl reicive
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
So there are five candy bars.
Herself and two sisters equals 3 people in total.
This is a graph of 5 candy bars, each line being 1/2.
━ ━
━ ━
━ ━
━ ━
━ ━
If she ate half of one... the graph would become this.
━ ━
━ ━
━ ━
━ ━
━
Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.
Each person gets 3 halves, or 1 and 1 half.
Mai: ━ ━ ━
Sister 1: ━ ━ ━
Sister 2: ━ ━ ━
Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.
The amount Mai ate in the first place: ━
9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Properties of Exponents Drag and Drop
Answer:
Step-by-step explanation:
1). [tex]a^{3}\times a^5=a^8[/tex]
2). [tex](a^3)^3[/tex] = [tex]a^{9}[/tex]
3). [tex]\frac{a^{10}}{a^3}=a^{10-3}=a^7[/tex]
4). [tex]\frac{a^2}{a^7}=\frac{1}{a^{7-2}}=\frac{1}{a^5}[/tex]
5). [tex]\frac{a^5\times a^2}{a^7}=\frac{a^{5+2}}{a^7}=1[/tex]
6). [tex]\frac{16a^5b^3}{8a^2b}=(\frac{16\times 5}{8})(\frac{a^5}{a^2})(\frac{b^3}{b})[/tex]
[tex]=\frac{80}{8}(a^{5-2})(b^{3-1})[/tex]
= 10a³b²
7). [tex]\frac{2a^3b^3}{2b^2}=(\frac{2}{2})(a^3)(\frac{b^3}{b^2})[/tex]
= a³b
8). [tex](\frac{a^{-8}}{b^{11}})^{-2}=(\frac{b^{11}}{a^{-8}})^2[/tex]
[tex]=(b^{11}a^8)^2[/tex]
= [tex]a^{16}b^{22}[/tex]
9). [tex]\frac{(2a^3)(a^4)^2}{8a^{11}}=(\frac{2}{8})(\frac{1}{a^{11-3}})(a^4)^2[/tex]
[tex]=\frac{1}{4}(\frac{a^8}{a^8})[/tex]
[tex]=\frac{1}{4}[/tex]
10). [tex]\frac{5a^7b^2}{15a^{10}b^{-3}}=(\frac{5}{15})(\frac{a^7}{a^{10}})(b^{2+3})[/tex]
[tex]=\frac{1}{3}(\frac{b^5}{a^3} )[/tex]
[tex]=\frac{b^5}{3a^2}[/tex]
11). 3a⁰ = 3(1) = 3
12). (a²b)⁴ = (a²)⁴(b)⁴
= a⁸b⁴
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 ½ miles.
Someone help me!!!! To solve this :):):):) My brain is not functioning. Please Help as soon as can thank you
Answer:
The first one is a linear function with the slope of 3 with no shift. the second is a vertical line on the 2 of the x axis. the third is a horizontal line on the -3 of the y axis.
How does a translations 6 units up and 1 unit left change the coordinates of a shape?
Answer:
It will change the x by -1 and the y by +6
Step-by-step explanation:
Translating is sliding a shape up or down, thus coordinates will be changed
How can 3.7 = x + (negative 5) be solved for x in one step? Add 3.7 to both sides. Add 5 to both sides. Subtract 3.7 from both sides Subtract 5 from both sides
Answer:
Add 5 to both sides.
Step-by-step explanation:
3.7 = x + (-5)
3.7 + 5 = x + ( -5) + 5
5 cancels on the right
8.7 = x
The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3.7=x+(-5).
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 3.7=x-5
Add 5 to both sides of an equation, we get
3.7+5=x-5+5
x=8.7
The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.
To learn more about the solution of an equation visit:
https://brainly.com/question/14506845.
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