Answer:
a = 1 ; b = - 8
Step-by-step explanation:
x² + 2x - 7 = (x² + 2x + 1) - 1 - 7 = (x + 1)² - 8
a = 1
b = - 8
Answer:
a = 1 , b = -8
Step-by-step explanation:
(x+1)^2 = x^2+2x+1
x^2+2x+1-8 = x^2+2x-7
What is sieve of eratosthenes? (Only give paragraph, no steps)
Step-by-step explanation:
In Mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the first prime number, 2. The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime.This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.
Jonas is concerned about the amount of water he uses to wash his laundry. he made a table to show the number of gallons of water used by different washing machines to complete of laundry. use variables to represent the independent and dependent shown in the table and Use variables to represent the dependent variable and the independent variable in this sentence
Table:
Type of Washing Machine:
Older top Loanding,
New Standar Model,
Energy Efficient,
Age of washing Machine (years):
(6,4,2)
and
Gallons Of Water:
(42,28,14)
I do not understand your answer
The exercise asks who are the independent and dependent variables
In the case of Jonas and his washing machine the independent variables are:
Type of Washing Machine.The dependent variables are:
Age of Washing Machine (years).Gallons of Water (42, 28, 14).Energy Efficient.What is an independent variable?The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.
Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.
What is a dependent variable?The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.
According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.
For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.
Learn more about variable in: https://brainly.com/question/1029540
The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle
Answer:
200
Step-by-step explanation:
Length = 2w
2w + 2l = 60
substitute l out with 2w
2w + 2(2w) = 60
2w + 4w = 60
w = 10
l = 20
Area = w • l
= 10 • 20
= 200
−p^3 −5p−9
Select all coefficients.
Answer:
k
Step-by-step explanation:
k
what is the coefficient in the expression 10x +8?
Answer: It is 10
Step-by-step explanation:
En una prisión federal para mujeres, 100 de las 240 internas tienen puntos de vista izquierdistas. Si se elige al azar a 5 de ellas para comparecer ante el juzgado, determine la probabilidad de que solo una de ellas tendrá
ideas políticas de izquierda.
Answer: La probabilidad es 0.24
Step-by-step explanation:
De 240 personas, sabemos que 100 tienen una vista izquierdista.
Entonces la probabilidad de que una persona, seleccionada al azar, tenga una vista política izquierdista es:
Pa = 100/240 = 5/12
Entonces la probabilidad de que una persona elegida al azar NO tena una vista política izquierdista, es:
Pb = 1 - Pa = 1 - 5/12 = 7/12.
Queremos calcular la probabilidad que de 5 personas elegidas al azar, solo una tenga una vista izquierdista.
Entonces vamos a tener Pa una vez, y Pb 4 veces.
Y como sabemos, la probabilidad conjunta es igual al producto de las probabilidades, entonces:
p = Pa*Pb^4 = (5/12)*(7/12)^4
Pero esto va a ser para un solo arreglo (por ejemplo, de las 5 personas electas, la primera tiene una visión izquierdista), entonces tenemos que tener en cuenta las permutaciones, que van a ser las posibles permutaciones de un elemento en un espacio de 5 posibles espacios.
Son 5 permutaciones, y estas son:
La primera tiene visión izquierdista.
La segunda tiene visión izquierdista.
La tercera tiene visión izquierdista.
La cuarta tiene visión izquierdista.
La quinta tiene visión izquierdista.
Que también es igual a la combinatoria de 5 en 1.
[tex]C(5,1) = \frac{5!}{(5 - 1)!*1!} = 5[/tex]
Entonces la probabilidad que buscamos va a ser:
P = 5*p = 5*(5/12)*(7/12)^4 = 0.24
If X = 25, what does X equal?
Answer: it should be 25!!
Step-by-step explanation:
The ordered pairs in the table below define a function.
X Y
-2 9
0 5
2 1
4 -3
Select ALL of the equations that describe a function that is less steep than the function defined in the table.
⭕️ Y= 5
⭕️ Y = -3x
⭕️ Y = -x+6
⭕️ Y= -6x+3
⭕️ Y = -1/2x-4
Answer:
The 1st, the 4th, and the 5th ones are the answer :)
Step-by-step explanation:
eight packs of pencils and two packs of crayons cost $30.if 7 packs of crayons cost $21, what is the ratio of the rice of the pack of crayons to the price of the packs fo pencils?
Brainless to right answer...
Answer:
Ha, you said "Brainless" instead of *Brainliest*
Lol, here i am, Miss Brainless has arrived!
Step-by-step explanation:
Sry, dude, i just need points...
Answer:
The answer to this equation is 4 7/10, or 4.7.
Step-by-step explanation:
Hopefully this helps you!
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
6 yd
17 yd
?
9 yd
15 yd
15 yd
Analyzing Intersections of Lines and Planes
Use the given diagram to answer the question.
Which line is the intersection of two of the planes
shown?
х
V
w
Which line intersects one of the planes shown?
B
z
Which line has points on three of the planes shown?
Done
DO
Answer:
x z y
Step-by-step explanation:
i took the assignment
Answer:
X , Z , Y
Step-by-step explanation:
Solve the following system by graphing. If there isn't a unique solution to the system, state the reason. y=-2x y=2x+4
Answer:
We have the system of equations:
y = -2*x
y = 2*x + 4.
To solve it by graphing, you need to graph both lines and see in which point the lines intersect each other.
You can see it in the image below. (blue is y = 2*x + 4, and green is y = -2*x)
We also can calculate the solution with math, let's do that:
y = -2*x
y = 2*x + 4.
We can replace the first equation in the second one, to get:
-2*x = 2*x + 4
Now let's solve this for x
-2*x -2*x = 4
-4*x = 4
x = 4/-4 = -1
Evaluating this in one of the equations we get:
y = -2*-1 = 2
Then the solution is the point (-1, 2), exactly what we can see in the graph.
help please
3/11 × 4/9 =
Answer:
4/33
Step-by-step explanation:
Multiply 3x4 across which equals 12
Multiply 11x9 across which equals 99
Simplify to equal 4/33
Hope this helps!! :)
Answer:
Exact Form:
433
Decimal Form:
0.¯¯12¯¯
Step-by-step explanation:
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answer:
40% of 60 ------> $24 discount. So price with 40% discount is $36
20% of 36 -----> $7.20 discount. So price with 20% discount is $28.80
Sandy paid $28.80 without tax
Find the slope of the line graphed
A) -4/5
B)- 5/4
C) 4/5
D) 5/4
Answer:
B) [tex]\frac{-5}{4}[/tex]
Step-by-step explanation:
Take any two points
(x₁ , y₁) = ( -4 , 0) & (x₂ , y₂) = (0 , -5)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{-5-0}{0-[-4]}\\\\=\frac{-5}{0+4}\\\\=\frac{-5}{4}[/tex]
Brian works 4 hours on thursday and gets $95 in tips and 5 hours on friday and gets $178 in tips. If his total for 2 days is $320.25 how much is his hourly wage?
Answer:
5.25
Step-by-step explanation:
Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 16 planters cost?
Answer:
$48
Step-by-step explanation:
first you have to divide 18 by three to see how much one costs then multiply that number by 16. that number was 3.
The cost of 16 planters is $48.
Given that, Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price.
We need to find how much will 16 planters cost.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Now, let the cost of 16 planters be x.
Then, the proportion is 6:18::16:x
Product of means=18×16
Product of extremes=6×x
So, Product of means=Product of extremes
18×16=6×x
⇒x=288/6
⇒x=48
Therefore, the cost of 16 planters is $48.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ6
Which is the better buy?
141-fuid-ource container of window clearer for
$7.05
6-pint container of window dieener for $3.84
Answer:
6-pint container of window clearer for $3.84 is a better buy
Step-by-step explanation:
141-fuid-ounce container of window clearer for $7.05
7.05 : 141 = 0.05
check your work: 0.05 x 141 = 7.05
so for the first offer you will be paying $0.05 per ounce of window clearer.
6-pint container of window clearer for $3.84
1 pint = 16 ounces
6 pints = 96 ounces
3.84 : 96 = 0.04
check your work: 0.04 x 96 = 3.84
for the second offer you will be paying $0.04 per ounce of window clearer. 6-pint container of window clearer for $3.84 is a better buy because you will be paying less for each ounce of window clearer.
Answer:
the 6-pint container would be cheaper...hope this helps :)
Step-by-step explanation:
which rational number is negative?
Answer:
-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals
Two numbers have a difference of 3. The sum of their squares is 89. Find the number
Answer:
The numbers are 8 and 5
Step-by-step explanation:
The square of 8 is 64 and the square of 5 is 25. 25 plus 64 equals 89.
asia is a chef in a restaurant to prepare for dinner service she chopped 7 1/2 onions into 1/6 of an hour what is Asia's rate of chopping in onions per hour
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
Answer:
The brand name television's dimensions are 32 inches by 64 inches.
Step-by-step explanation:
Scaling
Jason is considering two similar televisions at a local store. The sizes of the generic television are 3/8 the size of the brand name.
If we knew the size of the brand name television, we would have to multiply its dimensions by 3/8, but instead, we have the dimensions of the generic television, so to find the brand name television, we multiply by 8/3.
12 inches * 8/3 = 32 inches
24 inches* 8/3 = 64 inches
The brand name television's dimensions are 32 inches by 64 inches.
Answer:
The brand name television's dimensions are 32 inches by 64 inches.
Step-by-step explanation:
- 1/2(6p+16)=7 solve for p
Answer:
p = -5
Step-by-step explanation:
-1/2* 6 = -3p
-1/2*16 = -8
-3p-8 = 7
7+8 = 15
-3p=15
15/-3 = -5
Step-by-step explanation:
p
2
+6p−16
=p
2
+8p−2p−16
=p(p+8)−2(p+8)
=(p+8)(p−2)
what is the equation of the line in slop-intercept form HELPP PLZZZZZZZZZZ
Answer:
y = 3/5x + 3
Step-by-step explanation:
(y2-y1)/(x2-x1) = slope
pick 2 points (0,3) and (-5,0)
(0-3)/(-5-0) = -3/-5 = 3/5
y = 3/5x + b
3 = 3/5(0) + b, b = 3
equation y = 3/5x + 3
Please help as I’m confused
Try and do 2, as I’m not bothered if you guys can’t do all 3 :)
Answer:
the formula is base x height / 2
Step-by-step explanation:
try and use this formula to help you:)
84 + 46 + 94 - 66 + 75 + 72 - 58 + 21 =equal what??
Please help I’m confused!
Answer:
2nd option; [tex]c=9-a+b[/tex]
Step-by-step explanation:
The first thing you need to do, is rewrite the equation without the square root.So for instance [tex]\sqrt{16}=4[/tex] and [tex]16=(4)^2[/tex] therefore [tex]a-b+c=(3)^2[/tex] Then [tex]a-b+c=9[/tex] Now we take away ' [tex]a[/tex] ' on both sides and add ' [tex]b[/tex] ' on both sidesSo [tex]a-(a)-b+(b)+c=9-(a)+(b)[/tex] Which gives us [tex]0+0+c=9-a+b[/tex] which is simply [tex]c=9-a+b[/tex]Hope this helps
Marcus said the ratio of the number of hours he spent doing homework to playing basketball was 2:3. Which statement describes this ratio?
A.
Marcus does homework or plays basketball for 2:30 hours.
B.
There are 2 to 3 hours each night that Marcus does homework or plays basketball.
C.
For every 2 hours Marcus does homework, he plays basketball for 3 hours.
D.
For every 3 hours Marcus does homework, he plays basketball for 2 hours.
Answer:
C
Step-by-step explanation:
Based on recent experience, ten-year-old passenger cars going through a motor vehicle inspection station have an 80% chance of passing the emissions test. Suppose that two hundred such cars will be checked out next week. Find the number of cars that are expected to pass.
Answer:
160
Step-by-step explanation:
The chance/probability of 10-year-old passenger cars passing an emission test is 80%.
200 10-year-old passenger cars will be tested next week.
How many of the 200 cars are expected to pass the emission test?
If there is an 80% chance of them passing the test then it means that 80% of the cars pass the test at any given time.
80% of 200 = 0.8 × 200 = 160
Hence, 160 (of the 200) cars are expected to pass the test.