Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
The point S(0,–2) is translated 4 units left. What are the coordinates of the resulting point, S'?
S(0,-2)
Translated 4 units left means y coordinate is kept constant.x coordinate is decreased by 4i.e
[tex]\\ \sf{:}\Rrightarrow 0-4=-4[/tex]
New co-ordinates are
(-4,-2)Write a function in any form that would match the graph shown below.
Answer:
(x-6)(x+5)^2 - 50
The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant.
What is a function?
A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:
[tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant that ensures the function continues to negative infinity and positive infinity.
To find the value of k, we can use one of the intercepts, say (5, 0):
0 = k / (5² - 25)
0 = k / 0
This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.
For example, let's choose k = 1:
[tex]f(x) = 1 / (x^2 - 25)[/tex]
This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.
Thus,
The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant.
Learn more about functions here:
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Which postulate or theorem can be used to prove the triangles congruent?
a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent
Answer:
D) SSS
Step-by-step explanation:
They have 3 sides that are congruent to each other. We don't know anything about the angles.
given that 3^y=243:find the value of y
Answer:
5
Step-by-step explanation:
So lets do this slowley
3x3=9
9x3=27
27x3=81
81x3=243
It took 5 threes or 3x3x3x3x3 to get 243
Answer:
y=81, try that for answer
Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER
========================================================
Explanation:
1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.
3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.
A new health drink has 180% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
Multiply the percentage by the allowable amount:
180% = 1.80
20 x 1.80 = 36
Answer: 36 mg
Please help me with this
The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.
Answer:
2nd option
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
g(x) = f(x + 4)
Is the graph of f(x) shifted 4 units to the left
WHO CAN HELP ME ON THIS? Due soon!
Which one is the correct answer? Can you please explain your reasoning
Answer:
2√10
Step-by-step explanation:
dont need any reasoning its right.
Which equation represents the relationship in the table?
y= 14 - 5
y = 2 + 14
Х
y
y= 14 - 3
0
14
1
9
2
4
y = 14 - 52
3
-1
What is the solution to the following system 3x+3y+6z=9
Answer:
x=1 y=1 z=1
Step-by-step explanation:
3+3+3=9
and
3x+3y+3z=9
HURRY PLS
What is the equation of this line?
y=2x-3
y= -1/2x-3
y= -2x-3
y=1/2x-3
Emir is ordering theater tickets online for up to four of his classmates for an upcoming show. The ordering fee is $4 and the cost per ticket is $8.
Answer:
y=8x+4
Step-by-step explanation:
I am assuming you are asking for an equation.
Total cost = $8*(number of people) + $4
When Deema begins her drive, she is 400 mi from home. For the first two hours, she drives on country roads at
an average rate of 25 mph. Then she drives at an average rate of 75 mph until she gets home. Draw a graph to
represent this situation. Show any calculations you need to determine the graph.
Answer:
Step-by-step explanation:
The coordinates of the graph representing the given situation are listed below
A (0 ,400)
B ( 1 ,350 )
C (2,300)
D(3,250)
E(4, 200)
F(5, 150)
G(6, 100)
H(7, 50)
I (8, 0)
The graph attached shows the nature of the graph.
Which expression is equivalent to
(5x10^-3+(6x10)^3
2.2x10^4
A. 5 x 10
B. 5 x 101
C. 5 x 10-10
D. 5 x 107
Answer:b
Step-by-step explanation:
HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
The written price of a shirt is Rs. 275. If 15% rebate is given
on the written price, what will a customer pay?
Please answer in the simpliest way
Based on the cost of the shirt and the rebate applied, the customer would pay Rs. 233.75
A rebate is a discount on the price of a good so the shirt will be discounted by 15%.
= 275 x 15%
= Rs. 41.25
The price the customer will pay is therefore:
= Cost of shirt - Discount
= 275 - 41.25
= Rs. 233.75
In conclusion, the customer will pay Rs. 233.75
Find out more on discounts at https://brainly.com/question/889098.
Dividing 3/5 into what number gives you 20
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
Equation of the line that passes through (-6,-5) and (-3,0)
Answer:
y=(5/3)x + 5
Step-by-step explanation:
Every line is in the form: y = ax+b. If some points are on this line, they satisfy this equation. So we can write:
-5 = a(-6) + b
0 = a(-3) + b
It's a system of equations. We can solve them by subtracting the second equation from the first:
-5-0 = -6a - (-3a) + b - b
That becomes:
-5 = -3a
Therefore:
a = 5/3
Now we plug this value in the second equation of the system, and find the value of b:
0 = 5/3*(-3) +b
b=5
The final line equation will be: y=(5/3)x + 5
y = [tex]\frac{5}{3}[/tex]x + 5
Explanation:First, find the slope. The formula to find slope can be defined as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Given points (-6, -5) and (-3, 0), we can substitute those values in and find that the slope for this line will be [tex]\frac{5}{3}[/tex].
Using slope-intercept form, our equation so far is y = [tex]\frac{5}{3}[/tex]x + b. To find b, we substitute the coordinates of any point and solve. Doing so gets us a value of 5 for b.
Therefore, our final answer is y = [tex]\frac{5}{3}[/tex]x + 5.
What is the equation 5x+6y=18 equal
Answer:
y = -5/6x + 3
Step-by-step explanation:
help please anybody hmm
Answer:
Step-by-step explanation:
The answer would be 6 because you would count the distance like it says!
9. Place the following numbers in descending order: 92, -2.02 , 81%, 1 12
Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he find the measure of the third angle?
Answer:
the third angle is 50 degress
Step-by-step explanation:
the angle sum property states that the sum of all the interior angles of a triangle is 180.
therefore : 30 + 100 + x = 180
x = 180 - 130
x = 50
PLS HELP!!! i can’t figure out this problem!!!
Answer:
7/9
Step-by-step explanation:
Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.
[tex]\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}[/tex]
How to solve 9/11 * —- = 3/4
Answer: 9/11 diveded by 3/4
Step-by-step explanation: divde to get middle answer
Pleaseeee help meenpleaseeee!!!!!!!!
Answer:
-5/4
Step-by-step explanation:
4x-5y=10
-5y=-4x-10
-5y/-5=-4/-5-10/-5
y=4/5+2
perpendicular slope is -5/4
please please look at the picture and see if you can help!!!! i’m struggling so badly!
✺༒Question༒✺
Refer to attachment
Nonsense answer will get report
Answer:
REFER TO ATTACHMENT.
I HOPE IT IS HELPFUL
I don’t understand this. Can I plz get some help
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5