The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
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Solve for z? Question in photo
Answer:
z = 3
Step-by-step explanation:
I hope this helps!
y=-2x + 7
y = 5х – 7
Find the solution
Answer:
x = 2
Step-by-step explanation:
Given:
y = -2x + 7 y = 5х – 7If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.
=> -2x + 7 = 5х – 7
=> 7x = 14
=> x = 2
Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.
=> y = 5х – 7
=> y = 5(2) - 7
=> y = 10 - 7
=> y = 3
Hoped this helped.
What percentage of a dollar is the value of 1 nickel and 3 pennies?
Answer:
8%
Step-by-step explanation:
1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.
1 nickel and 3 pennies is 5.000000681 percent of a dollar.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know 1 nickels which is equal to 5 cents = 0.05 dollars.
1 penny = 0.00000000227 dollars
∴ 3 pennies is = 0.00000000681.
∴ 1 nickel and 3 pennies = 0.05000000681.
∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.
= 5.000000681% of a dollar.
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Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What is the down payment? i assume $3,256,00
Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What will the mortgage be?
Answer:
I think its gonna be 162.860
help me i need help!!!!!!!!!
Answer:
y=88
Step-by-step explanation:
Angles in a triangle equal 180
45 + 47 = 92
180 - 92 = 88
Answer:
88
Step-by-step explanation:
The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.
can someone help me on this one plss i REALLY need this for school
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Think about it, 0.9 increased by a number is 5.2
In other words, increasing 0.9 by a number will equal 5.2
So, increasing = adding, right?
Adding 0.9 to a number will equal 5.2
0.9 + n (a number) = 5.2
help me please question in picture
Answer:
the answer is 3x as that is the slope
Answer:
3
Step-by-step explanation:
yeah < 3
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I’ve posted this over 5 times please help me
Answer:
I don't know just guess sorry
How to solve for x: 2x-9=5
Answer:
5=2x-9
14=2x
x=7
Hope This Helps!!!
If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?
Answer:
$10.91
Step-by-step explanation:
7 gallons cost:
[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]
rounded to cents: 10.91
I hope this help you
what would be 8/1 x 1/2
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
Un pilón de riego está lleno en sus cuatro séptimas partes y contiene 1 600 m3 de agua. ¿Cuántos metros cúbicos caben en el pilón?
Veremos que el volumen total que cabe en el pilón es 2,800 m^3
Sabemos que el pilón tiene una capacidad máxima V.
Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.
Entonces podemos plantear:
(4/7)*V = 1,600m^3
Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:
V = (7/4)*1,600m^3 = 2,800 m^3
Es decir, el volumen total que cabe en el pilon es 2,800m^3
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(?) solve the following. please show your steps !!
a. 100 – 8 × √25 + 3?
b. 100 – (11 – 4)² × 2?
Use PEDMAS for order of operation:
a: 100 – 8 × √25 + 3
First solve the root:
100 – 8 × 5 + 3
Next multiply:
100 - 40 + 3
Now solve from left to right:
100-40 = 60
60+3 = 63
Answer: 63
b. 100 – (11 – 4)² × 2
First parentheses:
100 - 7^2 x 2
Next the power:
100 - 49 x 2
Multiplication:
100 - 98 = 2
Answer: 2
find the domain below
Answer:
Interval Notation: [-2, 10]
Set Notation: {x|-2≤x≤10}
Step-by-step explanation:
Who Is Nathan Drake?
Answer:
he's the guy from uncharted
Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.
Pls help, I need (c) of the problem 3-106
Answer:
Negative x minus two
Step-by-step explanation:
3 - (x + 5)
Distribute the negative sign:
3 - x - 5
Simplify:
-x - 2
In words:
Negative x minus two
Can someone please help!!
Answer:
d
Step-by-step explanation:
40 is the exact amount from a,b,back to c
2) What is the inequality that this graph represents? -15 # 3 6 x
Answer: [tex]y < -\frac{1}{2}x+3[/tex]
This is the same as writing y < (-1/2)x+3
==============================================================
Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]
We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
$1,000 invested at 8% compounded semiannually after a period of 2 years
Answer:
1160 will be the new amount after 2 years
Step-by-step explanation:
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
Therefore 1160 is the new amount after two years.
please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50
hope it helps!!!!!!!!!!!!!!!!!!!!!!
what is the solution of the equation w^2=4/9? show work.
Answer:
w = ± [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )
w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]
Then
w = - [tex]\frac{2}{3}[/tex] or w = [tex]\frac{2}{3}[/tex]
Which of the following has 104.0032 in written form?
A. one hundred four thirty-two ten-thousandths
B. one hundred four and thirty-two ten-thousandths
C. one hundred four and thirty-two thousandths
D. one hundred four and thirty hundredths two ten-thousandths
One hundred and four point zero zero three two.
- BRAINLIEST answerer
Answer:
C.one hundred four and thirty two thousandth
Solve for x
x/4=4/10
Give your answer as an improper fraction in its simplest form.
Answer:
1.6
hope this helps you!!!!!!!
Step-by-step explanation:
the answer which I have solved is in the image if you have any query then please ask...
What statement describes the decimal equivalent of 3/ 8 ?
Answer:
0.375
Step-by-step explanation: All you need to do is divide 3 and 8
Is -2g/4h a monomial number
Yes, because it only has a single expression, although the division sign might not count….
y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.
Answer:
y = 32/2.5
Step-by-step explanation:
formula:
y=kx
k = y/x
k= 4/2.5
so this is k
y = 4/2.5 x
y = 4 / 2.5 × 8
y = 32/2.5
answer.) y = 32/2.5
hope it was helpful
thank you
what is the formula for calculating midpoint
The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.
The formula for calculating the midpoint is given below:
[tex] \boxed{ \bold{ \: \: M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg) \: \: }}[/tex]For example, let us try solving this sample problem below using the midpoint formula:
Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-5, -3) [/tex][tex]\sf (x_2, y_2) = (9, 13) [/tex]Substitute the given values into the midpoint formula and solve for M:
[tex]\sf M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{-5 + 9}{2}, \dfrac{-3 + 13}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{4}{2}, \dfrac{10}{2}\bigg)[/tex][tex]\sf M = (2, 5)[/tex]Therefore, the coordinates of the point are (2, 5).
[tex]\\[/tex]
Now, wasn't that easy? Try this other sample problem:
The endpoints of a segment are (-5, 2) and (9, 12), respectively. What are the coordinates of its midpoint?From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.
Cheers!
1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40
Answer:
C) 4
Step-by-step explanation:
d = rt
plug in
t = 8, d = 32
32 = t(8)
Divide both sides by 8
4 = t
C) 4