[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(x + 3)(x - 5) = x*x + x *(-5) + 3*x + 3*(-5)
= x² - 5x +3x - 15 {add like terms}
= x² - 2x -15
what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6
[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]
When three is added to four times a number, the result is 15
(a) Write an equation to represent the above information.
Answer
(b) Solve your equation in (a)
Answer:
A. 4y + 3 = 15
B. y = 3
Step-by-step explanation:
Three is added to four times a number, the result is 15
A. Equation to represent the above information:
Let the unknown number= y
4 * y + 3 = 15
4y + 3 = 15
B. Solve your equation in (a)
4y + 3 = 15
Collect like terms
4y = 15 - 3
4y = 12
Divide both sides by 4
4y / 4 = 12 /4
y = 3
Therefore, the unknown number is 3
How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
55.5% repeating as a decimal
Answer:
0.555
Step-by-step explanation:
When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.
First, we will tell you why it is useful to know 55.5 as a decimal.
Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.
55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:
55.5 ÷ 100 = 0.555
The solution is, as a decimal of 55.5% is, 0.555
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.
First, we will tell you why it is useful to know 55.5 as a decimal.
Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.
Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.
55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:
55.5 ÷ 100 = 0.555
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If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?
Answer:
8.94~9.0
Step-by-step explanation:
If A squared plus B squared equals C squared. Then you can used this formula and find that 4 squared plus 8 squared equals 80. then square root 80 to find 8.94 or rounded to 9. This would equal C or the hypotenuse. Hope this helps!
The required length of the hypotenuse of the triangle is 16√5.
Given that,
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.
Here,
Applying the Pythagorean theorem,
Hypotenuse² = perpendicula² + base²
Hypotenuse² = 8² + 4²
Hypotenuse² = 64 + 16
Hypotenuse² = 80
Hypotenuse = √80
Hypotenuse = 16√5
Thus, the required length of the hypotenuse of the triangle is 16√5.
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Find the area of the shape shown below.
12
5
5
units
Answer:
42.5 units²
Explenation:
The area of the square on the left is 5×5=25.
At the top you do 12-5=7 to find the length of the tringle.
Than it is 7×5=35 than this divided by two, so 17.5.
You add both areas 25+17.5=42.5
Answer:
42.5 square units
Step-by-step explanation:
Separate shape into a square and a triangle
Calculate the area of the square (5*5=25 square units)
Calculate the are of the triangle (7*5/2=35/2= 17.5 square units)
Add together (17.5+25=42.5 square units)
(2a-b)2-(a-2b)2 factorial
Hello, we know that for a and b real numbers
[tex]a^2-b^2=(a-b)(a+b)[/tex]
So,
[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]
Thank you.
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
|10-11| = simplify the expression
Answer:
1
Step-by-step explanation:
Let's ignore the absolute value signs for a moment.
We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.
However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.
-1 as a positive number is +1, or just 1.
Hope this helped!
Combine like terms to simplify the expression: -5.55-8.55c+4.35c
Answer:
-5.55 - 4.2c
Step-by-step explanation:
-5.55 - 8.55c + 4.35c
'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.
Combine:
-5.55 - 8.55c + 4.35c
-8.55 + 4.35 = -4.2-5.55 - 4.2c
Hope this helps.
A
Find the value of x. Your answer must be exact.
30
9
Answer:
x = 9√3Step-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use tan
tan∅ = opposite/ adjacent
From the question
The opposite is 9
The adjacent is x
Substitute the values into the above formula
That's
[tex] \tan(30) = \frac{9}{x} [/tex]
[tex]x \tan(30) = 9[/tex]
Divide both sides by tan 30
[tex]x = \frac{9}{ \tan(30) } [/tex]
We have the final answer as
x = 9√3Hope this helps you
multiply 2x^2-4x 6c^2-5x
Answer:
a
Step-by-step explanation:
2x^2-4x 6x^2-5x
2x^2 times 6x^2= 12x^4
2x^2 times -5x= -10x^3
-4x times 6x^2= -24x^3
-4x times -5x= 20x^2
12x^4-10x^3-24x^3+20x^2
12x^4-34x^3+20x^2
(Also Brainliest if this helps pls)
the fastest land dwelling creature is the cheetah. fact or
opinion
Answer:
True.
Step-by-step explanation:
Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.
The second fastest land animal is the Pronghorn antelope at 98kph (60mph).
Answer:
It is a Fact because it can run 70mph or 112kph
Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white how many total marbles are in the bag
Hey there! I'm happy to help!
Let's represent the total number of marbles with the variable t. We have the following information.
1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)
Now, we solve for t.
1/2t+1/6t+8=t
We combine like terms.
2/3t+8=t
We subtract t from both sides.
-1/3t+8=0
We subtract 8 from both sides.
-1/3t=-8
We divide both sides by -1/3.
t=24
Therefore, there ae 24 total marbles in the bag.
Have a wonderful day! :D
The total number of marbles will be 7/2.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white.
Now,
Since, Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white.
Hence, Total number of marbles = 1/2 + 1/6 + 8
= 8 / 12 + 8
= 4 / 3 + 8
= 28/8
= 7/2
Thus, The total number of marbles will be 7/2.
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3 x 19 x 14 + 18 ÷ 2
Answer:
807Step-by-step explanation:
[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]
[tex] = 807[/tex]
Answer:
408
Step-by-step explanation:
3x19= 57
57x14= 798
798 + 18= 816
816/ 2= 408
Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar
Answer:
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
Step-by-step explanation:
La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:
[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]
[tex]x = \frac{56\,manzanas}{7}[/tex]
[tex]x = 8\,manzanas[/tex]
La profesora debe comprar 8 manzanas para reponer la cesta de frutas.
max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s
Answer:
x = 11.5 hours
Step-by-step explanation:
Set up a proportion:
[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]
661.25/460 = 1.4375
Multiply 8 by 1.4375 to find x:
8(1.4375) = 11.5
x = 11.5 hours
Part 1: You work 4 hours and earn $36. What is your earning rate (dollars per hour)?
Answer:
9 dollars per hour
Step-by-step explanation:
36/4=9
Answer:
9
Step-by-step explanation:
4 hours : $36
1 hour : $ x
we need to find x so,
4 hours ÷ 4 = 1 hour
1 : $
since we have divided 4 by 4,
we need to do that to 36 aswell
36 ÷ 4 = 9
1 hour : $9
When using ANOVA, the sum of squares within is: Group of answer choices Showing the difference between the groups Effect variance Error variance Showing the differences caused by the independent variable
Answer:
When using ANOVA, the sum of squares within is: Showing the difference between the Total SS and Between SS known as Error variance
Step-by-step explanation:
Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares
with the given degrees of freedom.
Within SS = Total SS - Between SS
Where
Total SS= ∑∑X²- C. F
Between SS= ∑T²j/r - C.F
Correction Factor = CF = Tj²/n
So the correct answer would be
Showing the difference between the Total SS and Between SS also known as Error variance.
what is the prime factorization of 430
Answer:
[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]
Step-by-step explanation:
Using factor tree,
Answer:
[tex]\large\boxed{2, 5, 43}[/tex]
Step-by-step explanation:
430
/ \
215 2
The 2 cannot be factorized anymore, so I will put a small box around it.
430
/ \
215 [tex]\boxed{2}[/tex]
/ \
43 5
5 and 43 cannot be factorized any smaller.
430
/ \
215 [tex]\boxed{2}[/tex]
/ \
[tex]\boxed{43}[/tex] [tex]\boxed{5}[/tex]
The prime factorization is the numbers in the boxes, which are 2, 5, and 43.
[tex]\large\boxed{2, 5, 43}[/tex]
Hope this helps :)
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PLEASE HELP
Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity.
Answer:
h,k,i,m,g,l
Step-by-step explanation:
I did all the work and i(x) limt should = -.25 and k(x) =0 but it said it was wrong. f(x) and j(x) cant be used, so my guess is to switch i(x) and k(x)
The answer is given in the image below.
Do all functions have limits?One of the fundamental standards of calculus is limits (limits of a function); it offers the fee of a function at a particular factor called limit. Limits are used to calculate the exact vital of the function. Not all functions include limits. A few functions no longer have any restrictions as the variable has a tendency to infinity.
What are examples of nonfunctions?The equations y = ± x and x 2 + y 2 = 9 are examples of non-function due to the fact there is at least one -price with or greater -values.
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a man bought a car for 8500 GH cedis and he later sold it at for 9500. find his percentage gain
Answer:
11.7647059 % gain
Step-by-step explanation:
To find the gain, take the new amount and subtract the original amount
9500-8500 = 1000
Divide by the original amount
1000/8500=.117647059
Multiply by 100% to get in percent form
11.7647059 % gain
WILL GIVE BRAINLIEST!!!
Answer:
2 x^2 sqrt(13)
Step-by-step explanation:
sqrt( 52x^4)
sqrt( 4*13 * x^2 * x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)
2 sqrt(13) x*x
2 x^2 sqrt(13)
52|2
26|2
13|13
1
[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]
What property is 21+(36+19)
Answer:
76
Step-by-step explanation:
21+(36+19)
21+(55)
21+55
=76
Answer:
The identity property
Step-by-step explanation:
I took it on Egd.
Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me
Answer:
x = 1, x = 2, x = 3
Step-by-step explanation:
Hello, please consider the following.
[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]
So we need to solve:
[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]
So, the solutions are x = 2, x = 1, x = 3
Thank you
How to find the area of the shaded region
Answer:
61 cm^2.
See below.
Step-by-step explanation:
Find the area of the shape shown below.
9.0
3.5
2
5
2.
units
Answer:
[tex] \boxed{42.5 \: {units}^{2} }[/tex]Step-by-step explanation:
The shape could be divided into a rectangle and a trapezoid ( bottom part )
Let's find the area of the given shape:
Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]
plug the values
[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]
[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]
[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]
[tex] \mathsf{ = 31.5 + 11}[/tex]
[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]
Hope I helped!
Best regards!
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
Evaluate the expression 5^3
Answer: Five to the power of three (5*5*5) is equal to 125.
Hope this helps!
Answer:
125
Step-by-step explanation:
[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]
A circle has center D and passes through the points F and G. Which of the following is the name of this circle?
Answer:
Circle D
Step-by-step explanation:
The answer is Circle D
