Answer:
The two INTEGERS are :-
-3 and +4
-3 * (+4) gives us -12
-3 + (+4) gives us 1
hope it helps
have a nice day
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3.
What is the scale factor from ABC to DEF?
Within similar triangles, the angles are the same. So, we need to look at the side lengths then.
72 to 12
66 to 11
42 to 7
In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.
The scale factor from ABC to DEF is 1/6.
Hope this helps!
If f(x) = 6x - 4. what is f(x) when x = 8?
Answer:
44
Step-by-step explanation:
* means multiply
put 8 where the x is
6 * 8 - 4
48 - 4
44
What is the value of x?
Enter your answer in the box.
Can someone help me with this
Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
x^4+64 will be the perfect square by adding
Answer:
[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]
+16x² or -16x² is the answerPLZ Find a ratio equivalent to 9/10. Then use the ratios to write a proportion.
a 70/63 9/10=70/63
b 19/70 9/10=19/70
c 19/20 9/10=19/20
d 63/70 9/10=63/70
Answer:
63/70 = 9 : 10
Step-by-step explanation:
Given ratio:
9/10
a 70/63
= 10/9
= 10 : 9
b 19/70
= 19:70
c 19/20
= 19 : 20
d 63/70
= 9/10
= 9 : 10
The equivalent ratio to 9/10 = 63/70
= 9 : 10
Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.
Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.
• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes
Step-by-step explanation:
The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:
• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.
• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.
Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well
Therefore, the correct options are 2,3 and 4.
What is the gradient of a line perpendicular to a line with a gradient of -6?
Answer:
1/6
Step-by-step explanation:
Gradient of a line perpendicular to a line with a gradient of m = -1/m
Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6
A : B = 5 : 7 and B : C = 3 : 5 what is the ratio of A : B : C ?
Answer:
15:21:35 (I'm not sure, but this is my best guess)
Step-by-step explanation:
15:21 = A:B (plugging in 3 as a test)
21:35 = B:C
15:21:35 = A:B:C (can't simplify)
A man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.
12 1/2 years
Step-by-step explanation:
Let the unknown be n. Then 40+n = 3(5+n).
Performing the multiplication:
40+n = 15+3n
Isolate n and combine the constant terms:
25=2n, so n= 25/2 years
Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance of point C to point A
Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'
The total cost is $350 million.
The US Government is offering to pay $110 million.
A contractor is offering to reduce the total cost by 30%.
Tony has enough money to pay the remaining costs out of petty cash.
Answer:
I am a piano so yeah I'm just typing to fill the character requirement
Step-by-step explanation:
get got
PLEASE HELP ASAP! Worth 15 points!!
Which graph represents a function with direct variation?
Answer:
The bottom right photo
Step-by-step explanation:
A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)
If x = 3 and y = 5, work out the value of
b) 2x2 + 3y2
Answer:
42
Step-by-step explanation:
2*3*2+3*5*2=12+30=42
Answer:
[tex]93[/tex]
Step-by-step explanation:
Given:
If [tex]x=3[/tex] & [tex]y=5[/tex], find [tex]2x^2+3y^2[/tex]
Solution:
Replace 3 with x and 4 with y:
[tex]2(3)^2+3(5)^2[/tex]
[tex]=2(9)+3(25)[/tex]
[tex]=18+75[/tex]
[tex]=93[/tex]
5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?
Hello,
Using Thalès 's theorem:
Let's h the height of the monument.
[tex]\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}[/tex]
If you don't know what is the Thalès's theorem,
imagine that the similar triangles.
15 POINTS AND BRAINLIEST!!!
Answer:
option C
Step-by-step explanation:
2, 4, 6
i don't know whether it is correct or not...
(show your work!) i only got an hour left for this :c
Answer:
7 _> x
Step-by-step explanation:
28 - x _> 7(x-4)
28 - x _> 7x-28
28+28 _> 7x+x
56 _> 8x
7 _> x
Which graph is that of the inequality shown below?
Answer:
Graph C
Step-by-step explanation:
Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.
Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)
Answer:
12- 3+16 - 37 -( 20)
=8
Step-by-step explanation:
Two negatives are a positive , this really helps
A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?
hint.. correct answer is 4096
The volume of a cube is 8mm3.
What is the length of its side?
Answer:
the length of cube
is 2 mm
Answer:
2m
Step-by-step explanation:
A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height
Let the side of cube be x.
Then Volume of cube = x * x * x
So, length (side) of cube is 2m
f(x) = square root 32x
g(x) = square root 2x
Given:
The two functions are:
[tex]f(x)=\sqrt{32x}[/tex]
[tex]g(x)=\sqrt{2x}[/tex]
To find:
The [tex](f\cdot g)(x)[/tex]. Assume [tex]x\geq 0[/tex].
Solution:
We have,
[tex]f(x)=\sqrt{32x}[/tex]
[tex]g(x)=\sqrt{2x}[/tex]
Now,
[tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]
[tex](f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}[/tex]
[tex](f\cdot g)(x)=\sqrt{32x\times 2x}[/tex]
[tex](f\cdot g)(x)=\sqrt{64x^2}[/tex]
[tex](f\cdot g)(x)=8x[/tex]
Therefore, the correct option is A.
John read 10 books in 12 months. What was his rate of reading in months per book?
Answer:
1.2 books per month
12/10
Step-by-step explanation:
Find the value of x that will make A||B
Answer:
7
Step-by-step explanation:
Alternate interior angles must be congruent.
3x - 2 = 2x + 5
x = 7
What is the slope of the line that contains the points in the table
Answer:
C. -5
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from table
Point (-1, 6)
Point (0, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract: [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify: [tex]\displaystyle m = -5[/tex]someone help me please
Answer:
1, 3, 4
Step-by-step explanation:
Points N and K are on plane A and plane S
Point P is the intersection of the line n and line g
Points M, P, and Q are noncollinear
solve: − <− + 7( − 2)
(show your work)
Answer:
hope it helps.
stay safe healthy and happy...A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are drawn from the deck and replaced each time back into the deck. What is the probability of drawing the King of Clubs and a heart from the deck of cards?
Answer: 13%
Step-by-step explanation:
solve for:− 5 − 6 ≤ 8 − 8 − (show your work)
Answer:
hope it helps.
stay safe healthy and happy...Rudy rode a bike at the speed of 32 2/3 miles per 3 1/2 minutes. What is his speed in terms of miles per hours?
HELPPP
Answer:
[tex]32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour[/tex]
560 miles per hour