Answer:
It's D I think.... Line up B and C with M,N
factorise cos²A + 3 Cos A + 2
Answer:
[tex](cosA +1)(cosA +2)[/tex]
Step-by-step explanation:
[tex]cos^2(A)+3cos(A)+2[/tex]
Which number add up to 3 and multiply to 2?
That would be 1 and 2.
[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]
20 points!
Just need help on these questions
I will try to mark brainliest!
Answer:
the first one is 45% I don't no the second one
pleaseeee help its due today :(
thank you in advance <3
Step-by-step explanation:
y = 1 / (cx + a) - b
At the x-axis intercept, y = 0.
=> 1 / (cx + a) - b = 0
=> 1 / (cx + a) = b
=> b(cx + a) = 1
=> bcx + ab = 1
=> bcx = 1 - ab
=> x = (1 - ab) / (bc)
Hence the answer is Option B.
Juelle had $25,000 to invest. She invested part of that amount at 3% interest and part at 5% interest for one year. The amount of interest she earned for both investments was $1100. How much was invested at each rate?
Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Over what interval is the function nonlinear?
Answer:
Step-by-step explanation:
3rd one
If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
The sum of 3 times a number and 5 is equal to 9.
Answer:
Let x equal “a number”
3x+5=9
Answer:
x = 4/3 or 1.33333333333333333333333(infinite 3)
Step-by-step explanation:
3 times a number = 3x
sum = addition
3x + 5 = 9
now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.
3x = 4, now divide by 3 on each side to get x on one side
3x/3 = 4/3
x=4/3
4/3 = 1.33
3 x 1.33 +5 = 9
help help help ( I WILL MARK YOU AS BRAINLIEST )
Can someone please help me?
Answer:
yes
Step-by-step explanation:
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters
What is the first step in solving x^2 +14x-43=3 completing the square?
Answer:
Step-1 : Multiply the coefficient of the first term by the constant
Step-by-step explanation:
Answer:
step 1 = Subtract 3 from both sides
step 2= Use quadratic formula with a=1, b=14, c=-46
Answer to the equation = x=−7+√95 or x=−7−√95
ANSWER ASAP WILL MARK BRAINLIEST
Answer:
8.5
Step-by-step explanation:
(19x19)-(17x17)=72
square root of 72
What value is equivalent to
Answer:
-3
Step-by-step explanation:
dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk
Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.
Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = [tex]\frac{1903}{173}[/tex]
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
Find the area of the shape. Need an answer immediately.
Answer:
A= 113.1 (I rounded my answer)
Step-by-step explanation:
A=πr^2=π·6^2=113.09734
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
What is the value of h(2)? -2 -1 0
3
Answer:
The answer is 0
Step-by-step explanation:
Or c on edge.
help please i am struggling.
Answer:
what Netflix show were you watching?
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?
Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.
Write an equivalent expression.
-2(8+5g)
Answer:
-16 - 10g
Step-by-step explanation:
All I did was distribute
-2*8 + -2*5g
-16 - 10g
(+ -) additive inverse
2. Solve for the x.
8
16
7
Answer:
Theres no equation here?
Step-by-step explanation:
2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?
Answer:I picked 4
Step-by-step explanation:
.
A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?
Answer: There are 3 quarters , 9 dimes and 14 pennies.
Step-by-step explanation:
Let x= Number of quarters
Then, Number of dimes = 3x
Number of pennies = 3x+5
1 quarter = $ 0.25
1 dime = $0.10
1 penny = $ 0.01
So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)
= 0.25x+0.30x+ 0.03x+0.05
= 0.58x+0.05
Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]
So,
[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]
Thus, there are 3 quarters , 9 dimes , 14 pennies.
Answer:
Step-by-step explanation:
there are 3 quarters , 9 dimes , 14 pennies.
jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve
Answer:
6 1/2
Step-by-step explanation:
Answer:
6.5 quarts.
Step-by-step explanation:
This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5