[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]
Answer:
x = -1± sqrt( 33)
----------------------------
4
Step-by-step explanation:
(2x + 5)= (2x + 3)(2x - 1)
Distribute
2x+5 = 4x^2 +6x-2x-3
Combine like terms
2x+5 = 4x^2 +4x -3
Subtract 2x +5 from each side
0 = 4x^2 +4x-3-2x-5
Combine like terms
0 =4x^2 +2x -8
Using the quadratic formula
a=4 b=2 c=-8
x = -b± sqrt( b^2-4ac)
----------------------------
2a
x = -2± sqrt( 2^2-4(4)(-8))
----------------------------
2(4)
x = -2± sqrt( 4+128)
----------------------------
8
x = -2± sqrt( 132)
----------------------------
8
x = -2± 2sqrt( 33)
----------------------------
8
x = -1± sqrt( 33)
----------------------------
4
Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy
The number of soda bottles Katie bought is 6
The given parameters are:
Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99Assume the number of soda bottle is x.
So, we have:
[tex]Total = Pizza + Soda \times x[/tex]
This gives
[tex]23.99 = 14.99 + 1.50\times x[/tex]
Subtract 14.99 from both sides of the equations
[tex]9 = 1.50\times x[/tex]
Divide both sides of the equations by 1.5
[tex]6=x[/tex]
Rewrite the equation as
[tex]x = 6[/tex]
Hence, the number of bottles is 6
Read more about linear equations at:
https://brainly.com/question/14323743
55) Carl spent 25% of his money for some presents. What percent
did he have left?
Answer:
75%
Step-by-step explanation:
In total it was 100%, but he spent 25%.
100% - 25%=75%
a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?
Answer:
15x^3-70x^2+65x+30
Step-by-step explanation:
1) 5(3x+1)= (15x+5)
2) (15x+5)(x-2)=15x^2-25x-10
3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30
2/3 of 12 3/8
this is easy but im dum.b
Answer: 17/2
Step-by-step explanation: 2/3 of 12 3/8 = 8.25
8.25 as a fraction= 17/2.
Answer:
17 divided by two
Step-by-step explanation:
(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.
Answer:
i think probably x = 1 or 5
Step-by-step explanation:
x²-6x+5 =0
so (x-1)(x-5) = 0
so x = 1 or 5
What is the equation 5x+6y=18 equal
Answer:
y = -5/6x + 3
Step-by-step explanation:
Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km
A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°
Answer:
1) C = 105.8°
Step-by-step explanation:
What is the answer please help
Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m
Step-by-step explanation:
Volume of a cylinder=
[tex]\pi \: {r}^{2} h[/tex]
Radius=84÷2=42
Volume=22/7×42²×150=831 600 cm³
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
How many different terms are in the expression? 28s + 3t+ 6b + 21f
Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).
Evalute the expression X=6 y=-4 -3y+x
Answer:
y= 1/2
Step-by-step explanation:
y=-4 -3y+x
<=> y + 3y = -4 + x
<=> 4y = -4 + 6
<=> 4y = 2
<=> y = 1/2
The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?
3 friends share a cake in the ratio of 5:7:4. the cake costs Rs.96 how much does each share cost?
Answer:
Cost of each share is [tex]6Rs[/tex]
Step-by-step explanation:
Let the cost be [tex]5x,7x,4x[/tex]
We have
[tex]5x+7x+4x=96\\\\16x=96\\\\x=6[/tex]
Cost of each share is [tex]6Rs[/tex]
Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =
Answer:
10
x
2
−
x
−
16
re written: 10x2−x−16
Step-by-step explanation:
Answer:
The simplified answer is [tex]10x^2-x-16[/tex]
Step-by-step explanation:
[tex]2x+6x^2-10+4x^2-3x-6[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]
[tex]= 10x^2+-x+-16[/tex]
As a final result, the answer is [tex]10x^2+-x+-16[/tex].
Therefore, [tex]10x^2+-x+-16[/tex] is the answer.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
- ❤ 7272033Alt ❤
What are the other steps?
Answer:
63 degrees
Step-by-step explanation:
Angle IGH is 40 degrees because it is vertical to angle BGD.
Angle HIG is 77 degrees because it is a linear pair with CIH.
Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees
if the nth term is 6-2n^2 what is the 4th term?
Answer:
a₄ = - 26
Step-by-step explanation:
Substitute n = 4 into the nth term formula
a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
SANA MAKATULONG
#CARRYONLEARNING
Which inequality is displayed on the number line?
if you add two obtuse angles do they sometimes make supplamentary angles?
Answer:
No, they can NEVER make supplementary angles.
Step-by-step explanation:
Two angles are supplementary when they add to 180 degrees. Since two obtuse angles have their angles greater than 90 degrees, they can never be supplementary. Let's take the angles as 91 degrees (the lowest whole obtuse measure). 91 + 91 = 182, which is more than 180.
Therefore, the answer is no.
Answer:
Adding two obtuse angles can never make supplementary angles.
Step-by-step explanation:
An obtuse angle has a measure of greater than 90°, and less than 180°.
Supplementary angles are two angles whose sum add up to 180°.
We must determine whether adding two obtuse angles can make them supplementary angles through the following example.
Example:Suppose that we have two obtuse angles:
m ∠ 1 = 90.1°
m∠ 2 = 90.1°
Let us add these two obtuse angles together to determine whether their sum is at most 180°.
m ∠ 1 + m ∠ 2 = ?
90.1° + 90.1° = 180.2°
Since their sum is greater than 180°, then it means that they are not supplements.
Conclusion:Adding two obtuse angles will have a sum of greater than 180°, thus making them invalid as supplementary angles.
Which number line model represents the expression -\dfrac23+\left(-\dfrac13\right)−
3
2
+(−
3
1
)minus, start fraction, 2, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis?
Choose 1 answer:
Answer:
: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2
Answer:
XD yall all ways doing this to me so yall somthings don't give me the Answer
Step-by-step explanation:
can someone please help me with this
Answer:
cogratulation you're the best math
Help a girl out pls!!!
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
What is 7/4+2/3
I can’t find the answer pls help
Answer:
2.41666666667
Step-by-step explanation:
2.41666666667 is the answer because of the additon. Just convert it.
2.41666666667 as a fraction equals 241666666667/100000000000.
Answer:
7/4 + 2/3 = 2 5/12
Step-by-step explanation:
What is 7/4 plus 2/3?
FractionCalculator
It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.
But it's no problem! We have displayed the answer below:
7/4 + 2/3 = 2 5/12
How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.
In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.
Plz help. Find the value of each variable. 1. 95° 120° 4120° 125° x + 840° .
Answer:
Step-by-step explanation:
The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
A: y = 1/3 x - 3
B: y = 1/3 x + 9
C: y = 1/3 x - 9
D: y = 1/3 x + 3
Does this graph represent a function? Why or why not
Answer:
C
Step-by-step explanation:
It passes the horizontal line test
Answer:
B. yes, it passes the vertical line test
Step-by-step explanation:
A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.
_____
A function maps any given x-value to only one y-value.
5 1/4 - 2 2/3 in fraction form
Answer:
6 1/10 (6.1)
Step-by-step explanation:
2 3/5 + 3 1/2 (2.6 + 3.5= 6.1)
2 6/10 + 3 5/10
5 11/10
6 1/10 (6.1)
Combine the following expressions
2√18x^3 - 3√8x^3
A. -√x
B. 0
C.√x
This is what I have but it doesn't match with your answers