Answer:
the two factors are (x + 1 ) , (x - 5)
Step-by-step explanation:
The factors of the quadratic equation x² - 4x - 5 is (x + 1) (x - 5)
What is a quadratic equation?A quadratic equation is an algebraic expression whose power is raised to the second degree. The solution of a quadratic equation usually leads to a pair of two factors.
From the given question, we are going to look for two numbers:
The result of the multiplication of these two numbers = (-5)The addition and subtraction of these two numbers = (-4)Thus, the expansion of the quadratic equation will lead to the following factors:
= (x + 1) (x - 5)
Learn more about quadratic equations here:
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Which of these expressions is equal to 2 + √-36?
a. 2 - 36i
b. 2 + 36i
c. 2 - 6i
d. 2 + 6i
Answer:
D
Step-by-step explanation:
i = √-1 , as number inside a √ cannot be a negative number, i is an imaginary number
2 + √-36
= 2 + √(36×-1)
= 2 + 6i, d
the measures of the side of a triangle are 4√2 cm, 4√2 cm qnd 8√2 cm. what is the perimeter of the triangle?
Answer:
[tex]16\sqrt{2}[/tex]
Step-by-step explanation:
Add up all the sides to get the perimeter:
[tex]4\sqrt{2} + 4\sqrt{2} +8\sqrt{2} = 16\sqrt{2}[/tex]
what is a^2 + 10a+24
Answer:
Step-by-step explaintation
a2 + 10a = 24
10a + a2 = 24
10a + a2 = 24
Solving for variable 'a'.
Reorder the terms:
-24 + 10a + a2 = 24 + -24
Combine like terms: 24 + -24 = 0
-24 + 10a + a2 = 0
Factor a trinomial.
(-12 + -1a)(2 + -1a) = 0
Set the factor '(-12 + -1a)' equal to zero and attempt to solve:
Simplifying
-12 + -1a = 0
Solving
-12 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + -1a = 0 + 12
Combine like terms: -12 + 12 = 0
0 + -1a = 0 + 12
-1a = 0 + 12
Combine like terms: 0 + 12 = 12
-1a = 12
Divide each side by '-1'.
a = -12
Simplifying
a = -12
I need 7/5 renamed to a fraction
Answer:
Step-by-step explanation:
the simpliest form is [tex]1\frac{2}{5}[/tex]
It already is a fraction. If you need it simplified, it would be 1 2/5.
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hope it helps
8 less than or equal to -2x+16
The Answer is 8 ≤ -2x+16.
Help please
Brainiest answer to whoever is correct
Answer:
Required amount of aluminium foil = 522.80 [tex]in^{2}[/tex]
Step-by-step explanation:
The shape of the large Hershey kisses can be compared to that of a cone. So that;
the surface area of the kisses = [tex]\pi[/tex][tex]r^{2}[/tex] + [tex]\pi[/tex]rl
Let the slant height be represented by l. Applying the Pythagoras theorem;
[tex]l^{2}[/tex] = [tex]10^{2}[/tex] + [tex]8^{2}[/tex]
= 100 + 64
= 164
l = [tex]\sqrt{164}[/tex]
l = 12.81 in
Thus,
surface area of the kisses = (3.14 x [tex]8^{2}[/tex]) + (3.14 x 8 x 12.81)
= 200.96 + 321.7872
= 522.7472
surface area of the kisses = 522.75 [tex]in^{2}[/tex]
Thus, the amount of aluminium foil required to wrap the kisses is 522.80 [tex]in^{2}[/tex].
Why are 4(5) and 20 equivalent expressions?
Answer:
because 4 to the power of 5 is 5 x 5 x 5 x 5 and that equals 20
and the next number is 20
Step-by-step explanation:
A model railroad set was originally priced at $60, but Oliver waited to buy it until the model railroad set was on sale for 50% off. If he paid 10% sales tax on the sale price, how much did he pay in total?
$
Answer:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $33
Answer:
Step-by-step explanation:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $3
Need to pass this semester so please help
tell whether x and y are proportional
Answer:
Yes b/c y = 12x
Step-by-step explanation:
y = 12x
Can someone help me ASAP plz
Answer:
[tex]\boxed{\text{\sf \Large 138.6 mm^2 $}}[/tex]
Step-by-step explanation:
Area of rectangle
[tex]15 \times 5=75[/tex]
Area of circle (semi-circle+semi-circle)
[tex]r=(15-3-3) \div 2 = 4.5[/tex]
[tex]\pi \times 4.5^2=20.25\pi[/tex]
Add both areas
[tex]20.25\pi +75[/tex]
[tex]20.25 \times 3.14 +75=138.585[/tex]
Х
1
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Y
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Cherlyn moves houses her old house is 3 kilometers from her new house how many meters is it from the old house to the new house?
Answer:
3,000 meters
Step-by-step explanation:
1 Kilometer = 1,000 meters
1,000 meters x 3 Kilometers = 3,000 meters
Hopefully this helps :3 Sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
6. Given that g(x) is the inverse of f(x)...
a. f(x) = 3x + square root x + 3; find g(2)
b. f(x) = e^x; find g'(e3)
Answer:
sub 2 lazarbeam... yeet yeet yeet
Find the inequality represented by the graph
Answer:
y > -2/3 x + 3
Step-by-step explanation:
First we find the equation of the dashed line.
y = mx + b
We see b = 3.
The slope is -2/3.
The equation of the line is
y = -2/3 x + 3
The line is dashed, not solid, and the shading is above the line, so the inequality is
y > -2/3 x + 3
Can you guys help out? I don't think I have the right answer. Thanks
Answer:
b and d
Step-by-step explanation:
i think its d i couldnt read the story so if im wrong i am terriably sorry.
I need help finding the slope of the graph?
Answer: y=4x
Step-by-step explanation:
Find 2 random points
here I chose 0,0 and 2,8
8-0/2-0 = 4 slope is 4
no y intercept since its zero
y = 4x
5% of the aliens are green. If there are
40 aliens, how many are green?
Answer:
2 aliens are green.
Step-by-step explanation:
0.05 * 40 = 2
If you help me I'll make as brilliant
The answer is A) 3/100.
11 = 7 – 5x
Please help!
Answer:
the answer is x=-4/5
Step-by-step explanation:
hoped I helped:)
Answer:
-4/5
Step-by-step explanation:
11=7+-5x
11=-5x+7
-5x+7=11
-5x+7-7=11-7
-5x=4
-5x/-5=4/-5
Write the following decimal number in it’s equivalent fraction form show all work for full credit. 0.8
Answer:
0.8=8/10=4/5
Step-by-step explanation:
I don't know if this is what you wanted.
hi, i need help with Solve 18>12+x. Graph the solution.
Answer:
x < 6
Step-by-step explanation:
18 > 12 + x
Switch sides:
12 + x < 18
Subtract 12 from both sides:
12 + x - 12 < 18 - 12
x < 6
The solution of the inequality is,
⇒ x < 6
And, Graph is shown in image.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 18 > 12 + x
Now, We can solve the inequality as;
⇒ 18 > 12 + x
Switch sides:
⇒ 12 + x < 18
Subtract 12 from both sides:
⇒ 12 + x - 12 < 18 - 12
⇒ x < 6
Thus, The solution of the inequality is,
⇒ x < 6
Learn more about the inequality visit:
https://brainly.com/question/25944814
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The geometry graph above is a (—)
Answer:
square
Step-by-step explanation:
A farmer sells 6.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
If 3 5 is 3/5 then 2.64 would be the answer
Step-by-step explanation:
convert 3/5 to a percentage which is 60%. find 60% of 6.6
Which one of the following equations represents a circle with its center of origin?
A) x^2 + y^2 = 5
B) x^2 + y = 25
C) x + y = 5
D) x/2 + y/2 = 25
Answer:
A) x² + y² = 5Step-by-step explanation:
The equation of the circle:
(x - h)² + (y - k)² = r²The center is (h, k)
Wen the center is the origin we have, h = 0, k = 0:
x² + y² = r²The only equation in same format is the first one
For what value of x is AABC - ADEF?
HELP PLEASE!!
Answer:
A) x = 12
Step-by-step explanation:
4x-6 = 42
4 = 48
x = 12
7x+10 = 94
7x = 82
x = 12
Solve the equation.
Show your steps.
3x + 265 = 4
Answer:
x = -87
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 265 from both sides of the equation:
3x + 265 (-265) = 4 (-265)
3x = 4 - 265
3x = -261
Next, divide 3 from both sides:
(3x)/3 = (-261)/3
x = -261/3
x = -87
x = -87 is your answer.
~
Answer:
If you're looking for the value of x, it's -87.
Step-by-step explanation:
1. Subtract 265 from both sides
3x+265-265 = 4-265 = 3x = -261
2. Divide by 3 to get the variable by itself
3x/3 = -261/3. = -87
x = -87
Hope this helps
A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
The value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)x. To the nearest penny, how much is the account worth after 15 years?
Answer:
1232 penny
Step-by-step explanation:
Given the value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)^x.
To determine the account worth after 15 years, we will substitute x = 15 into the expression as shown;
B = 1000(1+.014)^x.
B = 1000(1+.014)^15
B = 1000(1.014)^15
B = 1000(1.2319)
B = 1231.9penny
Hence the value after 15years is 1232 penny (to the nearest penny)
5200 people attend a football match. It takes 10 minutes for all of them to leave the stadium. At what rate do they leave? Include the correct units in your answer.