Answer:
I'm pretty sure it's Distributive property
Step-by-step explanation:
I think this because on the outsides of the parenthesis you can distribute the 2 to the other numbers.
Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).
Answer:
(fog)(x)=6x-3
Step-by-step explanation:
In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).
[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]
I hope this helps! Let me know if you have any questions :)
Estimate 28 x 31 x 3
Answer:
2604
Step-by-step explanation:
Answer:
2600 as a estimate but it is 2604
Step-by-step explanation:
Find the median of 2,4,4,8
Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
A rectangular room is twice as long as its breadth and its perimeter is 48 m. Find the cost of carpeting its floor at Rs. 75 per sq.m.
can someone help me with this math problem
Answer:
150 degrees
Step-by-step explanation:
8x-10=3x+90
solve for x in calculater
x = 20
Substitute:
3(20)+90 = 150
Answer:
Step-by-step explanation:
8x - 10 = 3x + 90
5x - 10 = 90
5x = 100
x = 20
8(20) - 10 = 160 - 10 = 150
Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?
Answer:
6,079.42
Step-by-step explanation:
FV = P (1 + r / n)^Yn
P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.
what is the length of BC?
A. 9 units
B. 11 units
C. 15 units
D. 16 units
Answer:
15units
Step-by-step explanation:
BC is: 5x=5×3=15 units. so,Length of BC=15 units
Phillipa says that ( 27 − 9 ) × 3 ÷ 9 + 18 = 42 . Is she correct? If not, what is the correct answer? A. She is correct. B. She is not correct. The correct answer is 2. C. She is not correct. The correct answer is 24. D. She is not correct. The correct answer is 26.
(27-9) x 3 / 9 + 18 = 42
Follow order of operations: parentheses first:
18 x 3 / 9 + 18 = 42
Next is multiplication and division in order from left to right:
18 x 3 = 54
54/9 = 6
Now you have 6 + 18 = 24
24 does not equal 42 so Phillipa is not correct.
The answer is C. She is not correct. The correct answer is 24
Answer:
answer=she is not correct
Step-by-step explanation:
(27-9)*3÷9+18
18*3÷9+18
18*1/3+18
18/3+13
6+13
19
use BODMAS rule (Bracket Of Division Multiplication Addition And Subtraction)
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
Answer:
below
Step-by-step explanation:
that is the procedure above
witch one is greater 428,745 or 428,745
They are the same amount. neither is greater or lesser than the other.
Square root of 17 Is a number between
Answer:
D
Step-by-step explanation:
[tex]\sqrt{17} = 4.123[/tex]
So we can see that 4.123 lie between 4 and 5
Therefore, option (D) is correct
[tex]2x^2+8x-7=-2[/tex]
Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer
Answer:
x = -2 ±√(13/2)
Step-by-step explanation:
Find c Round to the nearest tenth 27 201 28 c=?
Answer:
56.3 =c
44.1 =a
Step-by-step explanation:
Using the law of sines
sin 102 sin 28
---------- = ----------
c 27
Using cross products
27 sin 102 = c sin 28
Divide by sin 28
27 sin 102
------------ = c
sin 28
56.25470702= c
Rounding to the nearest tenth
56.3 =c
To find a
We need Angle A
A = 180 - 102 -28
A = 50
sin 50 sin 28
---------- = ----------
a 27
Using cross products
27 sin 50 = a sin 28
27 sin 50
------------ = a
sin 28
44.0563425= a
Rounding to the nearest tenth
44.1 =a
Maggie bought 45 oz of flour for her bakery. She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin. How many muffins did Maggie make if she had 14.72 oz of flour left over?
Answer:
18 muffins
Step-by-step explanation:
Amount of flour Maggie used
Total amount of flour she bought - Amount of flour left over.
= 45oz - 14.72 oz
= 30.28 oz of flour
She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.
Hence,
Let the number of muffins = x
17.5 + 0.71x = 30.28
0.71x = 30.28 - 17.5
0.71x = 12.78
x = 12.78/0.71
x = 18 muffins
Therefore, Maggie made 18 muffins
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height
Answer:
I'm probably just really bad at math and got this wrong, but I think the answer is 40 cm. Sorry if this doesn't help, like I said I think I'm just bad at math, which it doesn't really make sense as to why I'm answering a math problem, but anyways there's the (probably wrong) answer.
I really hope that helped :P
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 − 16x + 24 B. -2x2 + 16x – 24 C. -2x2 - 16x + 24 D. -x2 − 16x + 12 E. -x2 − 16x – 24
Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
[tex]P(x)=a(x-2)(x-6)[/tex] ...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
[tex]8=a(4-2)(4-6)[/tex]
[tex]8=a(2)(-2)[/tex]
[tex]8=-4a[/tex]
Divide both sides by -4.
[tex]\dfrac{8}{-4}=a[/tex]
[tex]-2=a[/tex]
Putting [tex]a=-2[/tex] in (i), we get
[tex]P(x)=-2(x-2)(x-6)[/tex]
[tex]P(x)=-2(x^2-6x-2x+12)[/tex]
[tex]P(x)=-2(x^2-8x+12)[/tex]
[tex]P(x)=-2x^2+16x-24[/tex]
Therefore, the correct option is B.
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
1+2+3+4+5+6+7+8+9+2000+1000000
Help with this question, not sure what the answer is
Answer:
3rd option
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7
The corresponding factors are then (x - 3) and (x - 7)
The equation is then
f(x) = a(x - 3)(x - 7) ← a is a multiplier
To find a substitute any point on the graph into the equation.
Using (8, 15 ) , then
15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )
3 = a
Thus
f(x) = 3(x - 3)(x - 7)
Can someone pls help
MARKING BRAINLIEST HELP
Answer:
i think A
Step-by-step explanation:
sorry if im wrong
What is the product of (3x - 4y) and (- 2x + 5y - 6)?
A.) - 6x? + 7xy - 18x – 20y? + 24y
B.) - 6x² + 23xy - 18x - 20y? + 24y
C.) 6x? + 23xy - 18x - 20y2 + 24y
D.) - 6x² + 23xy - 18x + 20y? - 24y
Answer:
The answer is option c
Step-by-step explanation:
Product means we have to multiply
[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]
You then group like terms
[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]
And there's your answer
Dana enters a race where she has to cycle and run. She cycles a distance of 25km and then runs for 20km. Her average running speed is half of her average cycling speed. If dana completes the race in 5 hours, what is her average cycling speed !
Step-by-step explanation:
Let running speed = x.
So, cycling speed = 2x.
Total distance traveled = 20 + 25 = 45km
Time taken running = 20/x
Time taken cycling = 25/2c
Total time taken = 5 hours
So, 5 = 20/x + 25/2x
Solving this equation for x gives:
10x = 65. Thus x = 6.5
Since cycling speed = 2x, cycling speed = (6.5)(2)
So cycling speed is 13 km/h.
Hope it helps.
Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?
Answer:
The lemonade costs 1.4.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a cookie.
y is the cost of a lemonade.
Total cost for cookie and lemonade is 1.80.
This means that [tex]x + y = 1.8[/tex].
As we want y, we have that [tex]x = 1.8 - y[/tex]
Lemonade costs 1.00 more than the cookie?
This means that:
[tex]y = x + 1[/tex]
So
[tex]y = 1.8 - y + 1[/tex]
[tex]2y = 2.8[/tex]
[tex]y = \frac{2.8}{2}[/tex]
[tex]y = 1.4[/tex]
The lemonade costs 1.4.
i have no idea please help
Answer: D
Step-by-step explanation:
I’m like 90% sure it’s D ♀️
Answer:
D
Step-by-step explanation:
Domain is how far the graph goes left to right.
The left arrow goes left into -infinity forever
The right arrow goes down and to the right forever, into infinity
can the angles with measures 80o , 55o and 65o form angles on a line
Answer:
Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees
No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.
In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.
Let's calculate the sum of the given angles:
Sum = 80° + 55° + 65°
= 200°
Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.
In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.
Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.
To know more about Linear Angles here
https://brainly.com/question/13045673
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The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.
Answer:
[tex]17 \le t \le 28[/tex]
Step-by-step explanation:
Given
[tex]t = 22\frac{1}{2}[/tex] --- average time
[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation
Required
The inequality to represent the scenario
To do this, we simply add and subtract the variation from the average time.
i.e.
[tex]t \± \triangle t[/tex]
So, the inequality is:
[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]
Solve:
[tex]17 \le t \le 28[/tex]
Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3
Answer:
8.34 ×10^4 as in sceintific notation so in normal
8.39×10^4 = 83900
and 3.84 × 10^-3 = 0.00384
Hope it helps
If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?
Answer:
S = 62.5%
Step-by-step explanation:
Let the junior members be J.Let the senior members be S.Given the following data;
Ratio of J:S = 3:5 = 3 + 5 = 8
To find what percent of team members are seniors;
[tex] S = \frac {5}{8} * 100 [/tex]
[tex] S = \frac {500}{8} [/tex]
S = 62.5%
Additionally, to find what percent of team members are juniors;
J = 100 - S
J = 100 - 62.5
J = 37.5%
of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?
Answer:
15
15
10
Step-by-step explanation:
3/8 x £40 = £15 for Sarah
3/8 x £40 = £15 for Fiona
2/8 x£40 = £10 for david
Answer:
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
Step-by-step explanation:
If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.
To find the amount each person gets we are goin to change the ratios of each person into fractions.
To turn to fraction add all portions in the ratio:
3 + 3 + 2 = 8 (this will be the denominator for all proportions.)
Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
