Answer:
2x + 3
Step-by-step explanation:
So, the equation here is:
[tex]\frac{2x^2 - 5x - 12}{x - 4}[/tex]
And so, using this we can set up our synthetic equation using the dividends as the coefficients of the equation, which are 2, -5, and -12; and the divisor 4, which derives from -4.
It's a bit hard to create a table here, so I'll just write out the values and hope you piece it together.
4 | 2 -5 -12
| 2 8 12
2 3 0
Thus, we are given our coefficients for our desired equation.
2x + 3
And we can ascertain this to be the answer by working the converse.
(2x + 3)(x - 4)
2x² - 5x - 12
Help me With 1 and 3
Answer:
1. A
2. B
Step-by-step explanation:
They want to isolate x in both cases.
So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.
On question 3 the best choice is subtracting 15 from both sides
£770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get? £770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get?
Answer:
henry gets 231
Step-by-step explanation:
my head
Answer:
231
Step-by-step explanation:
Let's consider that Gavin got X pounds.
Then Henry gets 3 times as much as Gavin => 3X
And Mark gets twice as much as Henry => 2 * 3X
Together they get 770, so:
X + 3X + 2*3X = 770
10X = 770 => X = 77
As we mentioned, Henry gets 3X, so
3X = 3 * 77 = 231
In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?
Given:
In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]
To find:
The length of [tex]FH[/tex].
Solution:
Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.
In triangle [tex]FJH,KG\parallel JH[/tex].
Using BPT, we get
[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]
[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]
On cross multiplication, we get
[tex]3\times GH=4\times 15[/tex]
[tex]GH=\dfrac{60}{3}[/tex]
[tex]GH=20[/tex]
Now,
[tex]FH=FG+GH[/tex]
[tex]FH=4+20[/tex]
[tex]FH=24[/tex]
Therefore, the length of FH is 24 units.
What is the area of the triangle?
7
5
4
units?
Please help
Answer:
[tex] 10 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of triangle
[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]
Solve the linear equation. 2 (3 + 2x) = 10
Answer:
-1
Step-by-step explanation:
2(3+2x)=10
6+4x=10
6-10=4x
-4=4x
x=-1
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.What is the equation of g(x)?
Answer: Your answer would be D:) g(x) = 5x – 10
Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?
Answer:
6 percent?
Step-by-step explanation:
.
Which statement is correct
-2.2 = x - 4.2
solve for x
Answer:
2
Step-by-step explanation:
Add 4.2 to both sides
x = 2
77 points :)
Which statements correctly use the properties of exponents to simplify? Check all that apply.
Answer:
A,B,C
Step-by-step explanation:
I did it
Answer:
the answers are a b and c
Step-by-step explanation:
i just did it on edge haha
An apple costs $2.00 more than amango. The total cost of
three apples and a mango is $50.00.
put it in algebra pls
Answer:
,,,,,,, ,,,,,,,,,,,,,,,,,
Answer:
1 mango = 11 dollars
1 apple = 13 dollars
Step-by-step explanation:
Let [tex]a[/tex] be equal to the cost of an apple.
Let [tex]m[/tex] be equal to the cost of a mango.
1) Create equations
An apple costs $2.00 more than a mango.
⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)
The total cost of three apples and a mango is $50.00.
⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)
2) Solve for m and a
[tex]3a+m=50[/tex]
Substitute a with [tex]m+2[/tex]
[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]
Subtract both sides by 6
[tex]4m+6-6=50-6\\4m=44[/tex]
Divide both sides by 4
[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]
Therefore, the cost of 1 mango is 11 dollars.
[tex]m+2=a[/tex]
Substitute m with 11 to solve for a
[tex]11+2=a\\13=a[/tex]
Therefore, the cost of 1 apple is 13 dollars.
I hope this helps!
Help please, and could you show the work?
Answer:
X = 5
Step-by-step explanation:
use the graph:
look at y = -3 and find the corresponding X value (X = 5)
What is -1/2 times 1/4-3/8?
Answer:
The answer is -0.5
Step-by-step explanation:
In a right triangle, the height is 15 cm and the hypotenuse is 45 cm. What is the base?
A.1800
B.47.4
C.2250
D.42.4
Hurryyyy
Answer:
D) 42.4
Step-by-step explanation:
a² + b² = c² -----> a² + 15² = 45²
45² - 15² = a² -----> 2025 - 225 = 1800²
42.426406.... ----> D) 42.4
Write each equation in standard form -3x+5y=-5
Answer:
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...
Step-by-step explanation:
Solve for a
-1/4a- 4=7/4a- 3
Answer:
a=−1/2
Step-by-step explanation:
K
29
6x – 5
1 point
What is the value of x, in degrees?
15
в ОООО
18.22
20
2x – 3
24
(х+8
L
J
30
1 point
What is the measure of ZL?
115
93
ОООО
28
37
Answer:
1.x=20
<L=37
Step-by-step explanation:
(x+8)+(2x-3)+(6x-5)=180
x+8+2x-3+6x-5=180
9x-8+8=180
9x=180
x=180/9
x=20
<L=2x-3
<L=2*20-3
<L=40-3
<L=37
Show and explain how you would solve the following equation by graphing x - 2 = 5
Answer:
See below
Step-by-step explanation:
If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.
Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate
Answer:
6) x = 36°, y = 18°
7) z = 7°
Step-by-step explanation:
6) 2x + 3x = 180°
5x = 180°
x = 36°
4y = 2x = 72°
y = 18°
7) 2z + 4 = 4z - 10
2z = 14
z = 7
A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected What is the probability that the first apple!
green and the second apple is red?
The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.
Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.
Someone please helppp me ! Extra points and brainlest
Answer:
1 notebook cost $2.27
Step-by-step explanation:
Multiply the unit cost of the pencils by how many pencils you have : ( 1.29*3 = 3.87)
Subtract this from the total cost ( 10.68 - 3.87 = 6.81)
Divide this by 3 since there are 3 notebooks
6.81 / 3 = $2.27
Answer:
2.27
Step-by-step explanation:
have a good day
Compare the properties of the function f(x) = 2x2 + 4x + 5 to the function given by the table. Which statements are correct?
Answer:B, C, D
Step-by-step explanation:
I did the USATESTPREP
just some easy 5th grade math please help and don’t give me any link.
Answer:
6 x 3 x 1 = 18
4 x 8 x 3 = 96
18 + 96 = 114 ft cube
g(x)=x-3
f(x) = -2x + 2
Find g(f(x)
Answer:
- 2x - 1
Step-by-step explanation:
[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]
If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208
What is the volume of the cylinder? Use 3.14 for T.
Answer:
251.33
Step-by-step explanation:
have a good day! :)
I think the bigger number would be 203 but I don't knowwww
Step-by-step explanation:
Let the number of psychology books be 'x'.
and that of sociology books be 'y'.
x + y = 317 (given)
Number of sociology books sold was 89 less than that of psychology books.
y = x - 89
Which means,
x + x - 89 = 317
2x = 317 + 89
2x = 406
x = 406/2 = 203
y = 203 - 89 = 114
Hence, 203 psychology books and 114 sociology books were sold.
While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?
Answer:
1514 feet
Step-by-step explanation:
We solve using the trigonometric function of Sine
sin θ = Opposite/ Hypotenuse
θ = Angle of depression = 53°
Opposite = Vertical height = 1209 feet
Hypotenuse = x =??
Hence,
sin 53 = 1209 feet/x
Cross Multiply
sin 53 × x = 1209 feet
x = 1209 feet/ sin 53
x = 1513.8320107 feet
Approximately = 1514 feet
Therefore, the distance Lisa must ski to reach the lodge is 1514 feet
If the surface area of a cube is 390 in.² and which best describes the length of the side cube
Answer:
sqrt65, or 8.06225775
Step-by-step explanation:
390/6=65
sqrt65=8.06225775
Marie runs a dog-walking business. She charges a $10.75 base fee for each dog she walks, plus an additional $7.10 per hour that she walks the dog. Each day she spends $5.50 on dog treats. How much money Marie would earn in one day if she worked for 4 12 hours? A. $26.45 B. $31.95 C. $37.20 2. $42.70
Answer:
I believe 31 dollars and 95 cents
Step-by-step explanation:
Marie would earn $37.2 in 4 1/2 hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Marie charges a $10.75 base fee for each dog she walks,
and, additional $7.10 per hour that she walks the dog.
Each day she spends $5.50 on dog treats.
So, if Marie works for 4 1/2 hour then she can earn
= 10.75 + 4 1/2 x 7.1 - 5.5
= 10.75 + 4.5 x 7.1 - 5.5
= $37.2.
Hence, Marie would earn $37.2.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
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