Answer:
x=0
Step-by-step explanation:
to solve the equation:
2(x) = 3x²+ 2x
swap the sides:
3x² = 0
Divide both sides:
x²=0
Solution:
x=0
Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose that the number of the people in the party is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
20 % of x equals :
[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]0.2x = 6[/tex]
[tex] \frac{2}{10}x = 6 \\ [/tex]
Multiply sides by 10
[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]
[tex]2x = 60[/tex]
Divided sides by 2
[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]
[tex]x = 30[/tex]
There were 30 people in the party.
Thus there are ;
[tex]30 + 6 = 36[/tex]
People at the party now.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A bowl contains 6 apples, 3 oranges and 5 pears. If five pieces of fruit are drawn without replacement, what is the probability of picking:
a) exactly 4 pears
b) at least 2 apples
c) how many apples would you expect to pick out of the 5 pieces of fruit?
Answer:
Step-by-step explanation:
4choose 2
Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?
I’m so sorry when I asked my question before the picture didn’t load so here is what I needed help with. So sorry
Answer: 3.75
Step-by-step explanation:
Hope this helps
In the figure shown, lines 1 and 2 are parallel. The figure shows two diagonal parallel lines Italic l 1 and Italic l 2 and a horizontal line Italic l 3 cuts the two diagonal lines at different points. On the intersection point on the left, the angle formed on the top left portion is labeled as 1, the angle formed on the top right portion is labeled as 2, the angle formed on the bottom left portion is labeled as 5, and the angle formed on the bottom right portion is labeled as 6. On the intersection point on the right, the angle formed on the top left portion is labeled as 3, the angle formed on the top right portion is labeled as 4, the angle formed on the bottom left portion is labeled as 7, and the angle formed on the bottom right portion is labeled as 8. The sum of the measures of angles 4 and 5 is 150 ° . What is the measure of angle 1?
A. 30 °
B. 75 °
C. 105 °
D. 115 °
Please help! I'm very behind on work and just don't have the time to catch up without costing the grade of another class. Thank you so much!
Answer:
5. alternate exterior, p
6. consecutive interior, r
7. consecutive exterior, s
8. alternate interior, q
9. corresponding, s
Step-by-step explanation:
NEED HELP ASAP WILL GIVE 100 points to who anwsers! Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below. Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28. Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression? –6x – 1 –6x + 2 6x + 1 6x – 2
Answer:
6x-2
Step-by-step explanation:
Celia’s simplified expression:
6x - 2.
The last option is correct.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given Phrase:
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).
That means,
-4x(1 -3) - (2x +2).
She checked her work by letting x = 5 in both expressions.
That means,
-4(5)(1 -3) - (2(5) +2).
= 40 - 12
= 28.
To find the simplified expression:
-4x(1 -3) - (2x +2),
= 6x - 2.
Therefore, the required expression is 6x - 2.
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what are the common factors of 24 and 36
a. 1,3,4,9,18
b. 1,2,3,4,6,12
c. 1,2,3,4,6,8,12
d .1,2,4,6,12
Find the midpoint of the segment with the following endpoints (4,2 ) and (1,8)
Answer:
2.5, 5
Step-by-step explanation:
9. If m ABZ = m_ZBC Then Ray BZ is called А Z B с MLABZ + m_ZBC = M LABC O Adjacent Congruent Midpoint Angle Bisector Oline segment BZ Clear selec
Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)
Answer:
Not sure sorry!
Wish that I could help!
Step-by-step explanation:
Answer:
Wait do we actually have to answer it? XD
Step-by-step explanation:
On a coordinate plane, a triangle is shown. It has points A prime (4, 2), B prime (8, negative 8), and C prime (4, negative 8).
What is the pre-image of vertex A' if the rule that created the image is ry-axis(x, y) → (–x, y)?
A(–4, 2)
A(–2, –4)
A(2, 4)
A(4, –2)
Answer:
The answer for this question would be A(-4,2) because the preimage of 4,2 would be A(-4,2).
Answer:
The answer would be option a) A(–4, 2)!
Step-by-step explanation:
Just got it right on Edge. - hope this helps :D
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat?
The required retail cost of the hat before the markup is 11.73.
Given that,
Monty buys hats in bulk to sell at his store. His cost for each hate is $17. He marks up the hats 45%. What is the retail price per hat is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Let the retail cost be x,
According to the question, the retail price is markup by 45%.
So the cost after mark up = x + 0.45x = 1.45x
And
17 = 1.45x
x = 17 / 1.45
x = 11.73
Thus, the required retail cost of the hat before the markup is 11.73.
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easy math - lots of points
Answer:
a=-5, k=31
Step-by-step explanation:
Determine a and k so the given points are on the graph of the function:
(1,11) (2,-14)
[tex]y=a(x+1)^2+k[/tex]
To find the required values, we substitute the points into the equation:
[tex]11=a(1+1)^2+k[/tex]
[tex]-14=a(2+1)^2+k[/tex]
Operating:
[tex]11=a(2)^2+k[/tex]
[tex]-14=a(3)^2+k[/tex]
Simplifying:
[tex]11=4a+k[/tex]
[tex]-14=9a+k[/tex]
Subtract the second equation from the first equation:
[tex]11+14=4a-9a[/tex]
Simplifying:
[tex]25=-5a[/tex]
Solving:
[tex]a=25/(-5)=-5[/tex]
a=-5
Use this equation to find k:
[tex]11=4a+k[/tex]
[tex]11=4(-5)+k[/tex]
[tex]11=-20+k[/tex]
k=31
a=-5, k=31
Answer:
a = -5
k = 31
Plz Mark brainliest!!!
Which of the following equations represents a function (15 points)
y=8x-18 find the intercepts of the line
-18 is the y intercept
The slope is in y=mx+b form,
And b is the y intercept. Mx is the slope(m) and x is the variable, in this case 8x
So slope is 8, and y intercept is -18
Simplify: 9-4x + 2x² + 8x' +1+ 6x2
A
4x + 3x² +15
B 4x3 + 8x2 + 10
C 5x + 8x2 +9
D 5x + 10x² + 7
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
combine like terms
round off 572 389 correct to three significant figure
572000 or 5.72×10^5
Step-by-step explanation:
depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct
Sue graphed the formula for converting temperatures from Fahrenheit to Celsius.
If the temperature is 50 degrees Fahrenheit, what is the temperature in Celsius?
Answer:
10° C
Step-by-step explanation:
(50°F − 32) × 5/9 = 10°C
your hair is 5/16
inch long. Write this length as a decimal.
Answer:
0.3125
Step-by-step explanation:
in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.
Answer:
0.3125
Step-by-step explanation:
please help
thanks in advance
Answer:
D. d=6.9r
Step-by-step explanation:
x^2+6x≤-5 with an explanation pls
Answer:
−5≤x≤−1
Step-by-step explanation:hope that helps :)))
x2+6x=−5
x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)
x2+6x+5=0
(x+1)(x+5)=0(Factor left side of the equation)
x+1=0 or x+5=0(Set factors equal to 0)
x=−1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤−5(Doesn't work in original inequality)
−5≤x≤−1(Works in original inequality)
x≥−1(Doesn't work in original inequality)
Answer:
−5≤x≤−1
Please answer showing work on paper if you can.
GIVING BRAINIEST
what do I put in the box
Answer:
You actually have it right 9.
Step-by-step explanation:
I got a 100% on the quiz!
Mark me BRAINLIEST!!!
Find two numbers if their ratio is 9:11 and their difference is 6.
The numbers can be 27, 33 or __, __
Plz help I'm so dumb -_-
Can someone please answer and explain??
Answer:
no
Step-by-step explanation: 12/3 can be written as 4
This number can be written as a rational number, a natural number, and a whole number.
Therefore, 12/3 is not only a rational number.
Which of the following expressions is written in scientific notation? (math)
Answer:
I need the expressions
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 4, point B prime is at the ordered pair negative 1, 2, point C prime is at the ordered pair negative 5, 1, and point D prime is at the ordered pair negative 5, 3.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answer: 7 units left and 6 Units Up.
Step-by-step explanation:
All you have to do is measure the distance, on the chart which in my answer. Its right BTW I alr did it. ;)
The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up thus option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given polygon,ABCD
A(4,-2),B(6,-4),C(2,-5),D(2,-3)
The transformed polygon A'B'C'D'
A'(-3,4),B'(-1,2),C'(-5,1),D'(-5,3)
The original polygon ABCD and its transformed A'B'C'D have been drawn below.
f we look then it is clear that the transformed image is not rotated about any axis.
Now consider a point A(4,-2) and A'(-3,4)
4 + x = -3 → x = -7 (7 units left)
-2 + y = 4 → Y = 6 (6 units up)
Hence "The transformation of polygon ABCD to form A'B'C'D' is 7 units left and 6 units up".
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What is 1/5 divided by 3/4? Then what is it reduced to lowest terms?
Answer:4/15
Step-by-step explanation:
Take 3/4 and flip it in half, making it 4/3, then multiply that by 1/5.
Answer:
4/15
Step-by-step explanation:
to divide fractions. flip the second fraction. then multiply
3 4
4 3
1 x 4 = 4
5 x 3 15
can't be simplified any further
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units
Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kThe vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = [tex]\frac{-b}{2a}[/tex] and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h = [tex]\frac{-2}{2(1)}=\frac{-2}{2}[/tex]
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
The translation that maps the graph is mathematically given as
"The translation as left 1 unit, up 5 units"
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?Translation is simply defined as the communication of the meaning of source content into target-content.
Generally, the equation for the vertex form is mathematically given as
g(x) = x² + 2x + 6
Where
a = 1 and b = 2 and h=-1
g(h) = k
k = g(-1)
k = (-1)² + 2(-1) + 6
k= 1 - 2 + 6
k = 5
In conclusion
g(x) = (x + 1)^2 + 5
Giving the translation as left 1 unit, up 5 units
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