Answer:
(x+5)(x+4)
Step-by-step explanation:
x^2+9x+20
Factor
What 2 numbers multiply to 20 and add to 9
5*4 = 20
5+4 =9
(x+5)(x+4)
Consider the functions:
f(x)=2/3
g(x)=2/3x-3+2
Which statement is true regarding the vertical and
horizontal translations from f(x) to g(x)?
The function flx) was translated left 3 units and up
2 units
The function f(x) was translated right 3 units and
down 2 units
O The function f(x) was translated left 3 units and
down 2 units
O The function f(x) was translated right 3 units and up
2 units
Answer:
The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
k = 2, which is denoted as vertical movement
b = -3, which is denoted to horizontal movement
Answer:
D;The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
if f(x)=2x-3/5 , which of the following is the inverse of f(x)?
Answer:
(5x+3)/2
Step-by-step explanation:
f(x)=(2x-3)/5
f(x)=y
y=(2x-3)/5
interchanging role of x and y
x=(2y-3)/5
5x=2y-3
5x+3=2y
y=(5x+3)/2
the inverse if f(x) = (5x+3)/2
Answer:
(5x+3)/2
Step-by-step explanation:
Methane, the chief component of natural gas, burns in oxygen according to the equation
CH4(g) + 2 O2(g) -----> CO2(g) + 2 H2O(g)
If 7.0 mol of CH4 react with an unlimited amount of oxygen, what amount (in moles) of H2O(g) will be produced?
please show your work!
Answer:
14
Step-by-step explanation:
From the equation, we see that 1 mol of methane produces 2 moles of water. To find the amount of water produced if 7.0 moles of methane react, we use the following proportion:
1 mol of methane / 7 moles of methane = 2 moles of water / x moles of water
x = 7*2 = 14 moles of water
how many vertical asymptotes does the graph of this function have f(x)=3/x(x-4)
Answer:
2
Step-by-step explanation:
Which equation represents this number sentence? Nine more than the quotient of a number and 3 is 21. A. N+9/ 3 = 21 B. 3/n + 9= 21 C. 9/n+3 = 21 D. n/3 + 9 = 21
Answer:
D. n/3+9=21
Step-by-step explanation:
Translate words to numbers-
Quotient of a number, n and 3: n/3
"And 9": Add 9
Is 21: =21
(n/3)+9=21
Answer:
D.
Step-by-step explanation:
9 more means +9 and the quotient of is dividing the unknown number and 3 the unknown value goes on top because it is larger than the 3.
The triangle is an equilateral triangle
One side is A
The radius is A/2
What is the area of the center triangle?
Answer:
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8) = 0.0403A^2[/tex]
Step-by-step explanation:
First let's find the area of the triangle, using the formula:
[tex]Area\_triangle = side^2\sqrt{3}/4[/tex]
[tex]Area\_triangle = A^2\sqrt{3}/4[/tex]
Now, let's find the area of each circular sector of 60° (internal angle of a equilateral triangle):
[tex]Area\_sector = \pi*radius^2*60/360[/tex]
[tex]Area\_sector = \pi*(A/2)^2/6[/tex]
[tex]Area\_sector = \pi*A^2/24[/tex]
Now, To calculate the orange area in the center, we have:
[tex]Orange\ area = Area\_triangle - 3*Area\_sector[/tex]
[tex]Orange\ area = A^2\sqrt{3}/4 - \pi*A^2/8[/tex]
[tex]Orange\ area = A^2(\sqrt{3}/4 - \pi/8)[/tex]
[tex]Orange\ area = 0.0403A^2[/tex]
Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options.
+ 8r2s4 – 3r3s3
[tex]\frac{5s^{7} }{6}[/tex]
s5
3r4s5
–r4s6
–6rs5
[tex]\frac{4r}{5^{6} }[/tex]
Answer:
[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]
Step-by-step explanation:
A polynomial is said to be in standard form when it is written in descending order of the given variable.
From the given polynomial
[tex]+ 8r^2s^4 - 3r^3s^3[/tex]
s is written in descending powerr is written in ascending orderTherefore, a first term of the polynomial must satisfy the following:
Power of r must be less than 2Power of s must be greater than 4.The following satisfies these conditions:
[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]
Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?
Answer:
[tex]Dina= 35[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 4:2:5[/tex]
Peter = 14 more A's than Chris
Required
How many A’s did Dina get?
The order of the ratio is Peter: Chris: Dina
This implies that
[tex]Peter: Chris: Dina = 4:2:5[/tex]
Considering Peter and Chris
[tex]Peter: Chris = 4:2[/tex]
Let the number of Chris' A's be represented by A
This implies that:
Peter's = 14 + A
And as such;
[tex]14 + A : A = 4 : 2[/tex]
Convert ratio to division
[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]
Multiply both sides by A
[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]
[tex]14 + A = \frac{4}{ 2}* A[/tex]
[tex]14 + A = 2* A[/tex]
[tex]14 + A = 2 A[/tex]
Subtract A from both sides
[tex]14 + A-A = 2 A-A[/tex]
[tex]14 = A[/tex]
This means that;
Chris answered 14 while Pete answered 28 (14 + 14)
Considering Chris and Dana
[tex]Chris :Dana = 2:5[/tex]
Replace Chris with 14
[tex]14:Dana = 2:5[/tex]
Convert ratio to division
[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]
Cross Multiplication
[tex]Dina * 2 = 14 * 5[/tex]
Divide both sides by 2
[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{14 * 5}{2}[/tex]
[tex]Dina= \frac{70}{2}[/tex]
[tex]Dina= 35[/tex]
Hence, Dina had 35 A's
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
What is the least common multiple of x2 + 2x – 15 and 4x2 - 36?
a. (x - 3)
b. 4(x - 5)(x + 3)2 (x – 3)
c. 4(x +5)(x – 3)2 (x+3)
d. (x+3)
Step-by-step explanation:
[tex] {x}^{2} + 2x - 15 \\ = (x - 3)(x + 5)[/tex]
then:
[tex]4 {x}^{2} - 36 \\ = 4( {x}^{2} - 9) \\ = 4(x - 3)(x + 3)[/tex]
then pack them up!
[tex]4(x - 3)(x + 3)(x + 5)[/tex]
tho there is a problem in your question.
lcm means the least common multiple.
answers in options are just multiples.
though considering that you shall choose:
[tex]4(x + 5) {(x - 3)}^{2} (x + 3)[/tex]
Write the following word phrase as an algebraic expression:
y less than the product of 3 and z.
Answer:
3z-y
Step-by-step explanation:
y less than the product of 3 and z
= y less than 3 into z
= y less than 3z
= 3z - y
Answer:
3z-y
Step-by-step explanation:
y less than the product of 3 and z
= y less than 3 into z
= y less than 3z
= 3z - y
If a dart were thrown randomly at the dart board shown below, what is the
probability that it would land in the area between the circle with radius 2 mm
and the circle with radius 8 mm?
A. 31%
B. 48%
C. 33%
D. 45%
Answer: A. 31%
Step-by-step explanation:
First you need to find the area within each circle. This can be found by using the formula: pi * r^2
The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.
196 * pi = 615.75216
64 * pi = 201.06193
Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.
615.75216 / 201.06913 = 3.06239
3.06239 rounds up to 3.1
Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.
What is the equation of the line that is perpendicular to the
given line and passes through the point (3, 4)?
Answer:
y=3x-5
Step-by-step explanation:
If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.
Do the side lengths 4, 8, and 10 form a triangle
Answer:
Those side lengths 4, 8 and 10 form a triangle
A car travels 3 hours at 50mph; then travels 40mph for 7 hours. How many miles does it travel during the 10 hours?
Answer: 430 miles
Step-by-step explanation:
Distance = speed x time
1) D = 50 x 3 = 150
2) D = 40 x 7 = 280
Total distance travelled = 150+280 = 430
Compute the permutations and combinations. 10C10 10 0 1
Answer:
wait plse
o
Step-by-step explanation:
i know the answere i am quite busy will answer u later
Answer:
The answer is 1
Step-by-step explanation:
what is the slope of the line shown below?
Answer:
DStep-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(1-(-1))
m=6/2
m=3
3 is option D
Hey there! :)
Answer:
D. m = 3.
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Use the two points given and plug them into the equation:
[tex]m = \frac{5-(-1)}{1-(-1)}[/tex]
Simplify:
[tex]m = \frac{6}{2} \\\\m= 3[/tex]
Therefore, the slope of the line is D. m = 3.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
-7, -10
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
8, 5, 2, -1, -4,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
8 - first term
5 - second term
8 ? ? = 5
8 - 3 = 5
So, this means they subtracted three to get the next term. Therefore, the pattern should be 'subtract three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
8, 5, 2, -1, -4,...
8 - 3 = 5
5 - 3 = 2
2 - 3 = -1
-1 - 3 = -4
So, since 'subtracting three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
-4 - 3 = -7
-7 - 3 = -10
Therefore, the next two terms in the sequence are -7, -10.
Write the equation of the line with the given slope and y-intercept.
Undefined slope, (0.-1)
The equation of the line is?
Answer:
x=0
Step-by-step explanation:
Undefined slope is a vertical line:
Vertical lines are represented with x= something
Because the line passes through (0, -1) x=0
Answer:
y = -1
Step-by-step explanation:
Undefined slope means the line is vertical or of the form
x =
Since the point is (0,-1) the x value is 0
x = 0
Formulate the recursive formula for the following geometric sequence. {-16, 4, -1,...}
Answer:
Step-by-step explanation:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]
Answer:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
Step-by-step explanation:
Problem 1 Given: HJ=4x+9, JK=3x+3, and KH=33 Find: x, HJ, and JK x= Answer HJ= Answer JK= Answer
Answer:
Step-by-step explanation:
At a NBA, the ratio of the score of team A to the score of team B was 16:21. If team A got 80 points, how many points did team B get?
Answer:
I answered this for you already :)
In right triangle RST, ∠T is a right angle, m∠S=41∘, and ST=8. What is the measurement of RT? Enter the correct value. If necessary, round your answer to two decimal places, like this: 42.53
Answer:
RT is 6.95 units long
Step-by-step explanation:
Use tan to find the unknown measurement
tan 41 = x/8 Simplify
0.8692 = x/8 Multiply both sides by 8
6.9536 = x
Find the value of (-4)(6)(-7)
Answer: 168
Step-by-step explanation: When your faced with a longer problem that involves some multiplication of positives and negatives, make sure you work the problem carefully from left to right.
So the first thing we want to do here is to
multiply -4 by 6 and that gives us -24.
Now bring down the (-7) and we have -24 (-7) which is 168.
So our answer is 168.
Answer:
Parentheses = multiplication
[tex]-4 * 6* -7=168[/tex]
Multiply -4 × 6
[tex]-4 * 6=-24[/tex]
Multiply -24 ×-7
[tex]-24 * -7=168[/tex]
Hope this helps
ヾ(・ω・`)ノ
Question: A car drives a distance of 195 miles. The car uses petrol at a rate of about 4.1 miles per litre. The petrol cost £1.14 per litre. Estimate the cost of petrol for the journey. Explanation:
Answer: £54.26
Step-by-step explanation:
Distance travelled = 195 miles
Petrol comsumption
= 195 / 4.1 = 1950 / 41 = 47.6
Cost of petrol = 47.6 x 1.14 = 54.26
Answer:
Approximately 54 pounds and 26 pence (£54.26) or just 54 pounds.
Step-by-step explanation:
The first thing I did to come to this conclusion was creating a table so that I could see that 4.1 miles over 1 liter equals 195 mils over x liters. Once I had done that to get x to equal ~47.6 I plugged that into yet another table where I had 1 liter equal £1.14 which was equal to ~47.6 equal £x. After that I divided the numerators by each other to get ~47.6, I multiplied the £1.14 by 47.6 to get an overall cost of £54.26 overall for the entire car trip.
Determine the value of x in the figure. answers: A) x = 35 B) x = 70 C) x = 140 D) x = 40
Answer:
b)x=70
Step-by-step explanation:
x=70 (the reason is that the angles are base angles of isoscelles triangle)
Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?
Answer:
[tex]19( 42+ 58)[/tex]
Step-by-step explanation:
[tex]19 \cdot 42+19 \cdot 58\\[/tex]
The common factor is 19
[tex]19( 42+ 58)[/tex]
Answer:
A
Step-by-step explanation:
dont know how explain.
Consider the following 8 numbers, where one labelled x is unknown. 3, 49, 36,x, 21, 39, 39, 41 given that the range of the numbers is 57, WORK OUT 2 VALUES OF X
Answer:
Step-by-step explanation:ghjhh
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
5/6 and 6/7
Step-by-step explanation:
In the top of the fraction its going up by one each time (1,2,3,4 so the 5 and 6 would be the top half of the fraction), and in the bottom half its also going up by one but it started at 2 so its one more than the top half (2,3,4,5, so the 6 and 7 would be the bottom half of the fraction)
Answer:
next two terms=
[tex] \frac{5}{6} ,\frac{6}{7} [/tex]
solution,
here,
Top numbers are increasing by 1
Bottom numbers are also increasing by 1.
[tex] \frac{1}{2} , \frac{2}{3} ,\frac{3}{4} , \frac{4}{5} , \frac{4 + 1 }{5 + 1} = \frac{5}{6} , \frac{5 + 1}{6 + 1} = \frac{6}{7} [/tex]
hope this helps...
Good luck on your assignment...
can anyone help? soh cah toa trig question to the nearest tenth of a foot?
Answer:
About 2.7 feet
Step-by-step explanation:
The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side:
[tex]\tan 44=\dfrac{x}{2.8}\\\\x=2.8 \cdot \tan 44\approx 2.7[/tex]
Hope this helps!
Answer:
x = 2.7 feet
Step-by-step explanation:
Use tan to find the value of x
tan 44 = [tex]\frac{x}{2.8}[/tex] Simplify
0.9657 = [tex]\frac{x}{2.8}[/tex] Multiply both sides by 2.8
x = 2.70396 Round this answer to the nearest tenth of a foot
x = 2.7 feet