Answer:
The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20
Step-by-step explanation:
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is .
The solution to this system of equations is .
Answer:
x = -3
(-3,7)
Step-by-step explanation:
y = –3x – 2,
y = 7
We know the value of y, y=7
Substitute into the first equation
7 = –3x – 2
Add 2 to each side
7+2 = –3x – 2+2
9 = -3x
Divide each side by -3
9/-3 = -3x/-3
-3 = x
Final answer:
The value of x is -3, and the solution to the system of equations is the point (-3, 7), which satisfies both equations y =
–3x – 2 and y = 7.
Explanation:
To find the value of x when given the system of equations y =
–3x – 2, and y = 7, we can substitute the second equation into the first. This gives us 7 = –3x – 2. Adding 2 to both sides yields 9 = –3x, and then dividing both sides by -3 gives us x = -3. Hence, the value of x in this system of equations is -3.
The solution to the system of equations is the pair (x, y) that satisfies both equations simultaneously. Substituting x = -3 into one of the original equations, we get y = 7. Thus, the solution to the system is the point (-3, 7).
What is the slope of the line that goes through the following ordered pairs? (1,14) and (2,14)
Answer:
The slope is 0
Step-by-step explanation:
Try graphing it for a better way to see it. If it passess through (1,14) and (2,14), the line is going horizontally, so it has no slope. I hope this helps.
Write an explicit formula for an, the nth term of the sequence 16, 8, 4.
Explicit Geometric Formula for sequence: 16,8,4
an = a1 (0.5)^n-1
A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
The nth term of a geometric sequence is given as,
= a[tex]r^{n-1}[/tex]
a = 16
r = 1/2
The explicit formula for the nth term of the sequence 16, 8, 4 is
16 [tex](1/2)^{n-1}[/tex]
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
4, 8, 18, 32 is a geometric sequence.
We have,
16, 8, 4
This is a geometric sequence.
The first term is 16.
a = 16
The common ratio.
= 8/16
r = 1/2
Now,
The nth term of a geometric sequence is given as,
= a[tex]r^{n-1}[/tex]
= 16 [tex](1/2)^{n-1}[/tex]
Thus,
The explicit formula for the nth term of the sequence 16, 8, 4 is
16 [tex](1/2)^{n-1}[/tex]
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What is the sample space of rolling a dice and picking from a deck of cards?
Answer:
Hope that I helped god bless u have a good Wednesday
Step-by-step explanation:
rolling n six-sided dice, where n is a positive whole number, the sample space consists of 6 n elements. the sample space is the set that lists all 52 cards in a deck.
please i need help i have found nothing to this answer
Answer: x = 3
Step-by-step explanation: This might not be the correct way to find the answer, but I hope this helps.
We have to try to figure out what (x) is...
6(4+1)+1 = 31 because 6 x 5 is 30 and + 1 is 31
6(5+1)+1 = 36 because 6 x 6 is 36 and + 1 is 37
6(2+1)+1 = 19 because 6 x 3 = 18 and + 1 is 19
All of these equations are wrong, none of them equal 25 besides...
6(3+1)+1
3+1=4
6x4=24
24+1
25
Have a good day :D
Which expression is equivalent to 8x - 2y +3+x?
Answer:
9x-2y+3 is similar
Step-by-step explanation:
Answer:
9 − 2 + 3
Step-by-step explanation:
Combine like terms (add 8x and x)
8x - 2y + 3 + x
9 − 2 + 3
i just need what x would equal
Answer:
60
Step-by-step explanation:
first you multiply 100 times 15
then once you do that you divide that by 25
that should give you an answer
Answer: [tex]\frac{60}{100}[/tex]
Step-by-step explanation: I got the answer by turning [tex]\frac{15}{25}[/tex] into a decimal.
15 divided 25 will equal 0.6
0.6 x 100 = 60
Now we know it's [tex]\frac{60}{100}[/tex]
I hope this helps!
Find f(-7) if f(x) = 2x + 8.
A. -6 B. 2 C. 3 D. 22
Find the zeros of f(x)=x^2 +5x -6.
A. {2, 3}
B. {-6, 1}
C. {-2,-3}
D. {-6,-1}
Answer:
B {-6,1}
Step-by-step explanation:
f(x)=x²+5x-6
=x²+6x-x-6
=x(x+6)-1(x+6)
=(x+6)(x-1)
so x=-6,1
Answer:
B
Step-by-step explanation:
A tsunami warning siren can be heard up to 2.5 miles away in all directions. From how many square miles can the siren be heard?
Answer:
25 mi^2
Step-by-step explanation:
2.5^2 = 6.25
6.25 * 4 = 25
Answer:
19.63 cm
Step-by-step explanation:
Because it can be heard from all directions, it takes the shape of a circle. Plus, it's 2.5 in all directions, so the lines are all equal. Therefore, 2.5 is the radius. They're asking for the area here, and the formula for area of a circle is A = PI*R^2. I'll use 3.14 to substitute for pi. Exponents first. 2.5^2 = 6.25. After that, we multiply. 3.14*6.25 = 19.625. We arrive at the answer. 19.625 square miles.
What is the approximate perimeter of the octagon?
Round to the nearest whole number.
mm
What is the approximate length of one side of the
octagon? Round to the nearest whole number.
mm
Answer: 371 mm
46 mm
Step-by-step explanation:
Answer:
371 and 46
Step-by-step explanation:
A triangle is formed by the points A(-2,-3), B(-2, 5), and C (6,-3). What are the coordinates of the midpoints of BC?
(1,2)
(1, -1/2)
(2,3)
(2,1)
i need helpp!!!! I will give brainliest!!!
Answer:
$51.30
Step-by-step explanation:
25% sale
The jacket costs $76, and the price is marked down 25%.
Normally, you would pay for 100% of the price, but because it is marked down 25%, you are only paying 75% of the normal price.
Now, find the price of the jacket.
Multiply 75% and $76
75%*76
Convert 75% to a decimal by dividying by 100
75/100=0.75
0.75*76=57
The jacket costs $57 with the sale.
10% coupon
The jacket on sale costs $57. The coupon will take off another 10%.
Instead of paying for 100% of the jacket, you are paying for 90% with the coupon that takes 10% off.
Multiply 90% and $57
90%*57
Convert 90% to a decimal by dividing by 100
90/100=0.9
0.9*57
51.3
The price of the jacket after a 25% off sale and a 10% off coupon is $51.30
Answer:
$51.30
Step-by-step explanation:
Find the value of x.
a 39.3
b 48.7
c 65
d 77
Answer:
D
Step-by-step explanation:
Since the line segment inside the triangle is parallel to the side of the triangle and intersects 2 sides then it divides those sides in proportion, that is
[tex]\frac{63}{45}[/tex] = [tex]\frac{x}{55}[/tex] ( cross- multiply )
45x = 3465 ( divide both sides by 45 )
x = 77 → D
A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten can run at a speed of 20 m/sec.
How soon will the kitten catch the puppy if the kitten starts running after the puppy?
Pls help on this Question! I need help
Answer:
36 seconds
Step-by-step explanation:
Distances covered in time t:
Puppy: 25t
Kitten: 20t
Assuming the kitten is 180m ahead of the puppy:
25t = 20t + 180
5t = 180
t = 36 seconds
Answer:
36
Step-by-step explanation:
What is the second step in sketching the graph of a rational function?
A. Sketching the function's graph and plotting additional points as guides when needed
B. Using test numbers to find where the function is positive and where it is negative
C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number
D. Finding the function's zeros and vertical asymptotes and plotting them on a number line
Answer:
C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number
Step-by-step explanation:
Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.
In the question above, the given statement represents option C is correct.
Final answer:
The second step in sketching the graph of a rational function involves identifying and plotting the function's zeros and vertical asymptotes on a number line.
Explanation:
The second step in sketching the graph of a rational function is (D) Finding the function's zeros and vertical asymptotes and plotting them on a number line. This step is crucial before sketching the graph because it gives an initial outline of where the function will not be defined (vertical asymptotes) and where it crosses the x-axis (zeros of the function). After identifying these critical points, one can choose appropriate test numbers around each zero and asymptote to determine the behavior of the function in those regions, which can later aid in sketching the graph with more accuracy.
Suzette is eating jelly beans. At one point, she counts 5 blue, 5 red, 7
yellow, and 8 green. What is the probability that the next jelly bean
she chooses, at random, is green?
Select one
8/25
1/5
8/24
8/17
Find the median, lower quartile, upper quartile, and interquartile range for each data set.
45,000
40,570
76,920
28,820
51,680
55,370
43,690
64,850
58,770
Answer:
Step-by-step explanation:
Lower quartile : 44.5
Upper quartile : 710
Interquartile range: 665.5
Choose Yes or No to tell whether there is more than one way to draw a triangle with the given measures.
AB = 15 cm, BC = 20 cm, ∠B = 40° yes or no
AB = 15 cm, AC = 20 cm, ∠C = 40° yes or no
BC = 5 cm, AB = 10 cm, ∠A = 20° yes or no
AC = 5 cm, BC = 10 cm, AB = 14 cm yes or no
Answer:
The answers are;
AB = 15 cm, BC = 20 cm, ∠B = 40° no
AB = 15 cm, AC = 20 cm, ∠C = 40° yes
BC = 5 cm, BA = 10 cm, ∠A = 40° yes
AC = 5 cm, BC = 10 cm, AB = 14 cm no
Step-by-step explanation:
Here we have that
1. in ΔABC, sides AB = BA and BC as well as ∠B are known hence the two sides and the included angle of the triangle are known, hence the triangle is well defined, hence there is only one way to draw the triangle.
Therefore, the answer is No
2. in ΔABC, sides AB and AC as well as ∠C which is ∡ACB are known hence since the included angle ∠A of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.
Therefore, the answer is Yes
3. Similarly in ΔABC, sides BC and AB as well as ∠A which is ∡CAB are known hence since the required included angle ∠B of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.
Therefore, the answer is Yes
4. in ΔABC, sides AC and BC and AB are known, hence, ∠A, ∠B, and ∠C cn be found which indicates that the triangle is well defined, that is only one way to draw the triangle.
Therefore, the answer is No.
If the measure of angle 2 is (5x+14)degrees and angle 3 is (7x-14)degrees what is the measure of angle 1 in degrees
Answer: Measure of angle 1 is 13.84° .
Step-by-step explanation: Given angle 2 = (5x+14)°
angle 3 = (7x-14)°.
Let the angle 1 be x°,
As we know m∠1+m∠2+m∠3 = 180° (Angle sum property)
x°+(5x+14)+(7x-14) = 180°
x°+12x = 180°
13x = 180
x = 180/13 = 13.84°
∴Measure of angle 1 is 13.84°
What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 1.45 x 10 pw11 the width is 2.9 x 10 pw5 pw is the power
Answer: The perimeter of rectangle is [tex]1.58\times 10^6[/tex]
Step-by-step explanation:
Given: Area of rectangle = [tex]1.45 \times 10^{11}[/tex]
Width of rectangle = [tex]2.9 \times 10^{5}[/tex]
As we know area of a rectangle is given by
[tex]Area = Length \times Breadth[/tex]
So we have
[tex]1.45 \times 10^{11}= Length \times 2.9 \times 10^{5}\\\\\Rightarrow Length = \dfrac{1.45 \times 10^{11}}{2.9 \times 10^{5}} \\\\\Rightarrow Length = 0.5 \times 10^6 = 5 \times 10 ^5[/tex]
Now as we know
[tex]Perimeter = 2(Length +breadth)\\\\\[/tex]
Length = [tex]5 \times 10^5[/tex]
Breadth = [tex]2.9 \times 10^{5}[/tex]
Therefore
[tex]Perimeter = 2(5 \times 10^5+ 2.9 \times 10^5)\\\\\Rightarrow Perimeter = 2\times 10^5(5+2.9)\\\\\Rightarrow Perimeter = 15.8 \times 10^5 = 1.58 \times 10^6[/tex]
Hence,the perimeter of rectangle is [tex]1.58\times 10^6[/tex]
Answer:
1.58*10^6
Step-by-step explanation:
Which of the following could be the function
graphed? A.) f(x)=8x^2/x^2-9 B.) f(x)=119x/792x+345 C.) f(x)=612/816x-272 D.) f(x)=237x/421x-515
Answer:it’s d on Ed
Step-by-step explanation:
The function that could be graphed is,
C.) f(x) = 612/816x-272
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
All the functions are,
A.) f(x)=8x^2/x^2-9
B.) f(x)=119x/792x+345
C.) f(x)=612/816x-272
D.) f(x)=237x/421x-515
Now, Based on the definition of the function, we get;
The function that could be graphed is,
C.) f(x) = 612/816x-272
Hence, Option C is true.
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Can you help me with these?
Please help with this inequality question!! I will give branliest to whoever answers!!
Answer:
Step-by-step explanation:
the first one
the second one
the third one
the last one
A kitchen clock has a radius of 8 inches. What is the area?
Answer:
201.06 inches squared
Step-by-step explanation:
Answer:
Wow, this one's a quick one!
The formula for calculator the area of a circle [kitchen clock] is πr², so now that we know that, let's plug the darn thing in!!
Before we continue, let's square 8 prior to pluggin it in. 8² is 64!
EQUATION WILL BE: π×64
THIS EQUALS: 201.0619298
Depending on what your teacher wants, you can round that! :)
what is the cost of 12 bottles explain
Answer:
24
Step-by-step explanation:If each bottle is $2 and there's 12 bottles then you just multiply 2 * 12. Which equals 24.
Evaluate the expression.
A triangle has an area of 76 sq. in. The base is 20 in. what is the height?
Answer:
7.6 = h
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
76 = 1/2 *20 *h
76 = 10 h
Divide each side by 10
76/10 = 10h/10
7.6 = h
Answer:
7.6 inches
Step-by-step explanation:
The area of a triangle can be found using:
a=(b*h)/2
We know that the area is 76 in^2 and the base is 20 in. Substitute 76 in for a and 20 in for b.
76=(20*h)/2
Now we have to solve for h, by getting h by itself.
First, get rid of the denominator of 2 by multiplying both sides by 2
76*2=20*h/2*2
76*2=20*h
152=20*h
Next, divide both sides by 20, because 20 and h are being multiplied.
152/20=20*h/20
152/20=h
7.6=h
The height is 7.6 inches
the diameter of a circle is 26 miles. what is the circle's circumference. Use 3.14 for pi
Answer:
It’s 530.66
Step-by-step explanation:
To find the circumference of a circle with a diameter of 26 miles, use the formula C = πd. Substitute the values and calculate the circumference as 81.64 miles.
The circumference of a circle can be calculated using the formula: C = πd, where d is the diameter of the circle. Given that the diameter is 26 miles and π is approximately 3.14, you can substitute these values into the formula to find the circumference.
Substitute the values: C = 3.14 x 26
Calculate the circumference: C = 81.64 miles. This calculation demonstrates how the circumference of a circle can be accurately computed using known values, providing essential information for various applications such as navigation, engineering, and geometric analysis.
A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate
Answer:
D- All the residents of the city.
Step-by-step explanation:
Answer:
D. All residents of the city.
Step-by-step explanation: