Answer:
x is -7.5 or -14/2 or -7½
Step-by-step explanation:
- Supposing y varies directly with x
[tex] { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} [/tex]
[k is a constant of proportionality (k ≠ 0)]
- When y is 6, x is -2
[tex] \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}[/tex]
- Therefore, the equation is;
[tex]{ \boxed{ \tt{y = - 2x}}}[/tex]
- What is x when y is 15
[tex]{ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}[/tex]
The value of x is -5
The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:
k = y/x
k = 6/-2
k = -3
Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation
15 = -3x
Then solve x,
x = [tex]\frac{-15}{3}[/tex]
x = -5
Therefore, when y = 15, x = -5.
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In a bag of red and green Holiday M&M’s there are 40 red M&Ms for every 100 M&Ms. How many red M&M’s are in the bag if there are 300 M&M’s total?
Answer:
if there are 300 m&m's there will be 120 red
Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread??
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Answer: 10 cups of flour
Step-by-step explanation:
15 1/2 cups of flour = 7 1/2 cups
7 1/2 ÷ 3 = 2 1/2
So, it takes 2 1/2 cups of flour to make one loaf of bread
If you want to make 4 loaves of bread, you multiply 2 1/2 × 4
2 1/2 × 4 = 10
It will take 10 cups of flour to make 4 loaves of bread.
Write the new equation if the graph of f(x)= 4x^2 + 3 is
translated up 4 units.
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 1: 13
O B. 3: 315
O C. :
OD. 1: 12
O E. : 13
O F. 13:3
Answer:
Step-by-step explanation:
we know that
In a triangle
the ratio between the lengths of the two legs is equal to the tangent
so
therefore
the answer is
Option B
-------> could be the ratio
because is the value of the
Option C
------> could be the ratio
because is the value of the
Option E
-------> could be the ratio
because is the value of the
The options B, C and E giving the ratios are correct.
What are ratios?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,
Since, we know that,
In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.
so,
Tan 30° = 1/√3
Also,
√3 / 3 = 1/√3
3/3√3 = 1/√3
Hence, the options B, C and E giving the ratios are correct.
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1. Graph the function on the coordinate plane.
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer and step-by-step explanation:
On the graph, it shows no kind of function, all it shows is the coordinate plane. That means that it has no x-intercept, no y-intercept, and has no minimum/maximum. Otherwise, there is not enough information to graph it.
Can someone please read this?? I keep trying to but I get distracted!
Answer:
it translates to something i can't say on here ;)
the graph of a piecewise defined function is given. evaluate f(-2), f(0), f(1)
Answer:
D
Step-by-step explanation:
because when x = -2 on the graph the y is -2 (-2,-2)
when the x values is 0 the y value is 1 (0,1)
and when x is 1 the y value is 2. (1,2)
hope this helps. have a good day
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]5\sin(2x)=3\cos(x)[/tex]
To do so, we can rewrite the equation.
Recall the double-angle identity for sine:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
By substitution:
[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]
Distribute:
[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]
We can subtract 3cos(x) from both sides:
[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]
And factor:
[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
A. cosx(10sinx-3)=0
Step-by-step explanation:
5(2sinxcosx)=3cosx
10sinxcosx-3cosx=0
cosx(10sinx-3)=0
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan>
Answer:
YES SIR Answer is b
Step-by-step explanation:
What is the range of y = csc^-1(x) ?
Answer:
Top right option
[-pi/2,0) and (0,pi/2)
Step-by-step explanation:
Edge 2021
Can some explain how to do algebra and what's the easiest way to do it
Please explain on the best possible
Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.
Is 2: 8/3 and 2/3: 6 proportional.
yes or no?
Answer:
No
Step-by-step explanation:
first one
2:8/3
Multiply by 3
6:8
Divide by 2
3:4
second one
2/3:6
Multiply by 3
2:18
Divide by 2
1:9
1:9 =\= 3:4
No
PLEASE HELP QUICK I NEED IT TO PASS
Answer:
Its 81
Step-by-step explanation:
Help me please I need to get this right
Answer:
1. 12
2. 8
3. 3
Step-by-step explanation:
To find the first answer all you must do is:
2 x 3 x 2 = 12
You do the same thing with the second question but do 2 x 2 x 2 as there’s no turkery.
2 x 2 x 2 = 8
Last, this time you do 1 x 3 x 1.
One for the one bread and cheese and three for the meat.
This equals to be 3.
6 3/4 x 5 + 2 1/4 =?
Answer:
40
Step-by-step explanation:
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan?
Answer:
Monthly Payment $2,741Monthly Payment $676Step-by-step explanation:
A down payment is the upfront portion of a payment that is often required to finalize the purchase of items that are typically more expensive, such as a home or a car. When purchasing a home, after a down payment is paid by a home-buyer, any remaining balance will be amortized as a mortgage loan that must be fulfilled by the buyer. In other words, the purchase price of a house should equal the total amount of the mortgage loan and the down payment. Often, a down payment for a home is expressed as a percentage of the purchase price. As an example, for a $250,000 home, a down payment of 3.5% is $8,750, while 20% is $50,000.
Help me please. I’m having trouble. NO SCAM LINKS.
9514 1404 393
Answer:
6. 4
7. 36
Step-by-step explanation:
The given conditions in each case allow you to conclude that the triangles are congruent. Corresponding parts of congruent triangles are congruent.
__
6. YX = YZ = 4
7. Angle XWY is congruent to angle ZWY, so is 18. Angle XWZ is the sum of those two angles, so ...
∠XWZ = ∠XWY +∠ZWY = 18 + 18
∠XWZ = 36
estimate the following sum by rounding each number to the nearest 10
plz
Answer:
184
Step-by-step explanation:
129.5 + 34.62 + 19.1
130 + 35 + 19
184
Im normally good at alg ish but im confused
Answer:
The problem is telling you to find g ( f ( x ) )
Since we know that f(x) is square root of x, we can put the function this way.
g(√x)
Then, we use √x as our x in our g(x) function.
You plug in √x for x and you solve.
(√x ) ^2 is just x.
Finally the answer is
x-3
hope this helps :)
Step-by-step explanation:
What is the precent of decrease from 5,000 to 50?
Answer:
-99%
Step-by-step explanation:
5000-99%=50
plz mark me as brainliest.
Answer:
10 percent
Step-by-step explanation:
5,000 x .01 = 50
helppp pls i don’t get it
Answer:
what is the question i cant see the picture well
Step-by-step explanation:
Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?
Answer:
345 - 40% = 207$
Step-by-step explanation:
(345 - 30%) - 15% = 205.3 (Better deal)
Answer:
30% off and additional 15% at the register
Step-by-step explanation:
Deal 1
$345 × 40% = $138
$345 - $138 = $207
Deal 2
$205.30
Which model represents the equation 4r = 24
Answer:
FOURTH
Step-by-step explanation:
AHHHHHHHHHHHHHHHHHHH 6 x 4 = 24
x IS 6
The model that represents the equation 4x = 24 is the 4th table.
How to find the model that represents the equation?The model that represents the equation 4r = 24 can be calculated as follows;
4x = 24
where
x is the variable
Therefore, 4x can be represented as follows:
4x = x + x + x + x
Therefore, the model that represents the equation 4x = 24.
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Some one help please
Answer:
subtracting 14 from sides of the number sentence
Step-by-step explanation:
14 + n = 84
Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.
Answer: subtracting 14 from sides of the number sentence
me prions for apples per pound are listed
in the table.
$2.99
$1.29
$1.89
$1.59
$0.99
What is the mean price of apples
per pound?
F $1.75
G $1.59
H $1.14
$2.00
Answer:
Its F $1.75
Step-by-step explanation:
Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer
Answer:
The Answer is H $1.14
Step-by-step explanation:
First You have to add both mean in the second column:
$1.29+0.99=$2.28
Then you have to divide the price that u given in the second column that u get after u add both the price :
$2.29/2=1.14
∴The mean price of apples per pound is $1.14
5 grams = centigigrams
Answer:
500
Step-by-step explanation:
whats the answer to this please
bubuoin ba ng salita yan
Which inequality represents the solution to the inequality below? 2/3m + 3 < m - 4 A. m < 21. B. m < 18. C. m > 21. D. m > 18.
Answer:
m > 21
Step-by-step explanation:
Given the inequality expression
2/3m + 3 < m - 4
Multiply through by 3
2/3 m * 3 + 3(3) < 3(m-4)
2m+9 < 3m-12
Collect the like terms
2m - 3m < -12 - 9
-m < -21
Multiply through by -1
-1(-m)>-1(-21)
m > 21
Hence the required solution is m > 21
2. 10+ 2 + 3 x 5 - 3
find the equation of the line use exact numbers
Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3