Answer:
253.75 square feet
Step 1: ax2 + bx + c = 0 Step 2: ax2 + bx = −c Step 3: Step 4: Step 5: Step 6: Step 7: Step 8:
Solution :
Given a quadratic equation :
[tex]ax^2+bx+c = 0[/tex]
Step 1 : [tex]ax^2+bx+c = 0[/tex]
Step 2 : [tex]ax^2+bx=-c[/tex]
Step 3 : [tex]$x^2+\frac{b}{a}x = -\frac{c}{a}$[/tex]
Step 4 : [tex]$x^2+\left(\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]
Step 5 : [tex]$\left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]
Step 6 : [tex]$\left(x+\frac{b}{2a}\right)=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]
Step 7 : [tex]$x=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)} - \frac{b}{2a}$[/tex]
Step 8 : [tex]$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$[/tex]
Thus the derivation for finding the roots of a quadratic equations.
Answer:
B D A C
Step-by-step explanation:
Edge 2021
Is Is y=2x+7 proportional?
Answer:
no
Step-by-step explanation:
Proportional must go through (0,0)
0 = 2(0) +7
0 = 7
This is not true so this is not proportional
Find the missing segment
Answer:
45
Mark me as brainlist
ok
WILL MARK BRAINLIEST!!!
given j(x)= 7x+5 and k(x)=2x+1
What is (j-k)(1)
Answer:
[tex]7 \times 1 + 5 - 2 \times 1 - 1 = 7 + 5 - 2 - 1 = 12 - 3 = 9[/tex]
What would happen if you subtracted the equation for z from the equation for 10z?
Answer:9z
Step-by-step explanation:10z-1z=9z
Answer:
the answer would be 3
Step-by-step explanation:
9z = 3
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
B. b + 15
O Ο Ο Ο
C. b- 15
D. b. 15
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A.
no
х
f(x)
18
6
What is the decay factor of the exponential function
represented by the table?
-1
0
1
2.
WINNO
o
O 2
O 2
O 6
Answer:
winno o 6
Step-by-step explanation:
please help me with my question
Answer:
14.3%
Step-by-step explanation:
subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%
Answer:
14.28 %
Step-by-step explanation:
cost price of an umbrella = 280
selling price of an umbrella = 320
profit% = SP - CP / CP *100%
=320 - 280/280 * 100
=40/280 * 100
=4000/280
=14.28
What is the ratio of people who prefer pistachio to the people who prefer vanilla?
- 3/2
- 2/3
- 4/5
- 5/4
Answer:
3/2
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
people who like pistachio = 24
people who like vanilla = 36
ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36
=2/3
ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth
The image to the question is attached below.
Answer: The value of EN is 11.2 cm
Step-by-step explanation:
We are given:
The parallelograms ABCD and EFGH are congruent, which simply means
AB = EF
BC = FG
CD = GH and
AD = EH
Area of ABCD = area of EFGH
Also, opposite sides of a parallelogram are equal. Thus,
AB = EF = CD = GH
BC = FG = AD = EH
It is given:
[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]
To calculate the area of a parallelogram, we use the equation:
[tex]Area=b\times h[/tex]
where, for parallelogram EFGH
b = base = FG = 10 cm
h = height = EN = ?
Area = [tex]112cm^2[/tex]
Plugging values in above equation, we get:
[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]
Hence, the value of EN is 11.2 cm
Use the graph to determine the input value for which f(x) equals G(x) is true x=0.5,x=1, x=1.5,x=2
Step-by-step explanation:
1.5 is the answer I just tried it and got it correct
Answer:
1.5 I just got the correct answer on edge
Put these numbers in order from greatest to least.
0.07,3/5, and 5/8
Answer:
From greatest to least: 5/8, 3/5, 0.07
Step-by-step explanation:
5/8 = 0.625
3/5 = 0.6
0.07 = 0.07
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
1, -3.5
Step-by-step explanation:
Answer:(0.5,-3.5)
Step-by-step explanation:
(-2+3/2)/2, (-5-2)/2
0.5,-3.5
A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.
Determine the approximate volume of the solid. Use 3.14 for pi. cm3
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Please help I’ll give brainliest
Answer:
$48
Step-by-step explanation:
$160 * 0.05 = $8
$8 * 6 = $48
Hope this helps
Answer:
48
Step-by-step explanation:
Please Mark me brainlist
how mamy times can you subtract 10 from a hundred?
You can substract 10 from 100 ten times :)
Answer:
10
Step-by-step explanation:
100 - 10 = 90 ( 1 )
90 - 10 = 80 ( 2 )
80 - 10 = 70 ( 3 )
70 - 10 = 60 ( 4 )
60 - 10 = 50 ( 5 )
50 - 10 = 40 ( 6 )
40 - 10 = 30 ( 7 )
30 - 10 = 20 ( 8 )
20 - 10 = 10 ( 9 )
10 - 10 = 0 ( 10 )
we subtract 10 from 100 10 times
The first and second steps to solve the equation 3x/5+5=20 are shown below
Answer:
The solution of the equation is:
x = 25.Step-by-step explanation:
To solve the equation:
[tex]\frac{3x}{5}+5=20[/tex]First, you must add the terms 3x/5 and 5:
[tex]\frac{3x+25}{5}=20[/tex]Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:
3x + 25 = 20 * 53x + 25 = 100Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:
3x = 100 - 253x = 75At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:
[tex]x=\frac{75}{3}[/tex]x = 25If we use this value in the original equation, we can prove if it's the correct:
[tex]\frac{3x}{5}+5=20[/tex][tex]\frac{3*25}{5}+5=20[/tex][tex]\frac{75}{5}+5=20[/tex][tex]15+5=20[/tex]20 = 20As you can see, the result x = 25 is the correct.
b) The marked price of a bicycle is Rs. 2000. If the shopkeeper allows some discount and a customer bought it for Rs. 1921 including 13% VAT, how much amount was given as the dis
count?
Answer:
Rs. 300
Step-by-step explanation:
The bicycle marked price = Rs. 2000
The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921
The VAT applied = 13%
The amount given as the discount = Required
The VAT is applied to the selling price
Let d represent the discount amount, we have;
The selling price = 2000 - d
The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13
The amount the customer bought it including VAT = The selling price + The amount paid as VAT
The amount the customer bought it including VAT = Rs. 1921
∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d
1.13·d = 2,260 - 1,921 = 339
d = 339/1.13 = 300
The amount given as discount, d = Rs. 300
what is the value of J
Answer:
Step-by-step explanation:
Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,
2j + 32 + 6j - 2 + 30 = 180 and
8j + 60 = 180 and
8j = 120 so
j = 15
Can somebody help I’ll give brainless
Answer:
194.51
Step-by-step explanation:
Find 6% of 183.50
183.50 * 6%
183.50 * .06
11.01
Add this to the original price
183.50+11.01
194.51
Hence, determine the length of AB. (Correct to TWO decimal places).
Answer:
sorry also maybe a diagram would have helped
Solve the system by substitution.
y = 7x– 45
Y = 2x
Answer:
(x,y)=(9,18)
Step-by-step explanation:
the ratio of games lost to games won by a cricket team is 2:3. the team has won 18 games.how many games did they lose?
Answer:
they lost 12 games
Step-by-step explanation:
18÷3=6
6×2=12
Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
Decreased
Strong negative
Step-by-step explanation:
The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa
Evaluate F(x) = x^2 + 1 for f(-1)
Answer:
2
Step-by-step explanation:
f(x) = x^2 + 1
f(-1) = (-1)^2 + 1
f(-1) = 2
Answer:
f(x)=x^2+1
f(-1)=(-1)^2+1
f(-1)=1+1
f(-1)=2
F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Answer:
F= 40
Step-by-step explanation:
F=ka
25 = k 5
k = 5
F=5a
F=5*8
F= 40
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!!
Answer:
What's the question? Please post the full question
Answer:This angle is a 35 degree angle
Step-by-step explanation:
What is the first step in solving the quadratic equation -5x2+8=133
Answer:
subtracting 8 from both sides of the equation
Step-by-step explanation:
You have to get rid of +8 before squaring both sides.
The formula V=IR shows the relationship between voltage, current, and resistance. Solve this formula for R
Answer:
The formula is [tex]R =\frac {V}{I}[/tex]
Step-by-step explanation:
The formula V = I R shows the relationship between voltage, current, and resistance.
It is given by the Ohm's law.
According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.
V = I R
where, V is the potential difference, I is the current and R is the resistance.
The resistance is given by
[tex]R = \frac{V}{I}[/tex]
Answer:
R = V over I
Step-by-step explanation: