Answer:
[tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
4x² + 10x - 1 = 0
Step 2: Identify Variables
a = 4
b = 10
c = -1
Step 3: Find roots
Substitute in variables [QF]: [tex]\displaystyle x=\frac{-10\pm\sqrt{10^2-4(4)(-1)} }{2(4)}[/tex][√Radical] Exponents: [tex]\displaystyle x=\frac{-10\pm\sqrt{100-4(4)(-1)} }{2(4)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-10\pm\sqrt{100+16}}{2(4)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{2(4)}[/tex][Fraction] Multiply: [tex]\displaystyle x=\frac{-10\pm\sqrt{116}}{8}[/tex][√Radical] Simplify: [tex]\displaystyle x=\frac{-10\pm 2\sqrt{29}}{8}[/tex][Fraction] Factor: [tex]\displaystyle x=\frac{2(-5\pm \sqrt{29})}{8}[/tex][Fraction] Simplify: [tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]Find the inequality represented by the graph.
Answer:
Step-by-step explanation:
⅗
Answer:y>-2/3x+3
Step-by-step explanation:
y>-2/3x+3
y is the bigger cause of the dotted lines and not straight lines.
This table shows direct variation. Find k.
Answer:
k=2/3
Step-by-step explanation:
As said, this table shows direct variation. The equation is y=kx.
we can solve the equation to isolate the variable to see what the equation is to find k.
divide by x on both sides
y/x=k
that means that k is y/x
so we can divide 2/3 for example. Or 4/6 and see it simplifies to 2/3. You can do this for the other numbers to see that they are all equal to 2/3
That means that k is 2/3
Hope this helps!
how many eighths make a quarter
Answer:
Two Eighths
Step-by-step explanation:
One eighth is one part of eight equal sections. Two eighths is one quarter
The probability of Andy passing his driving test
is 30%.
What is the probability that he fails?
Answer:
70%
Step-by-step explanation:
100% - 30% = 70%
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!
Answer:
61
Step-by-step explanation:
because they already have 61 dollars
Sarah has 23 apples she divides them into 15 places what is the fraction of the apples she has left?
HELPPPP simplify: 7! = ?
The solution of number 7! is,
⇒ 5,040
We have to given that,
To simplify 7! and find its value.
Now, by definition of factorial or a number, we get;
⇒ 7!
⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1
Multiply it,
⇒ 5,040
Therefore, The solution of number 7! is,
⇒ 5,040
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Teagan was building a fence around his lawn.
The area of his lawn was 36 sq. yds. His lawn is a
square. How much fencing will he need?
Step-by-step explanation:
36×2=72
he will need 18 inches fencing
Estimate: 98.4 ÷ 8.8
Answer:
11.1
Step-by-step explanation:
Answer:
If we are estimating, it would be about 98 ÷9 = 10.8 or 11 if you round up
Step-by-step explanation:
hope this helps
Evaluate the expression when a= 1/4 and b= 6
5b/32a2=?
Answer:
30/64
Step-by-step explanation:
5b=30
32a=8
8^2=64
=30/64
write the slope x+y=4 I have no idea how to do this
Where art thou smart people
Answer:
a smart person is not me clearly lol
Step-by-step explanation:
Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.
Which equation shows the relationship in the table between the time, t, and the depth, d?
Answer:d
Step-by-step explanation:
4. The sale price of a bunny doll is $12 after a 40% markdown. What is selling price and
markdown amount?
PLZZZZ HELPP ASAP!!! In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes. Make a list of all the different possible outcomes when two number cubes are rolled. What fraction of the possible outcomes is favorable? Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Hey there!
You should not expect more than 34 times to be favorable, because favorable outcomes are about 28% of outcomes, and 28% of 100 is 28, which is less than 34.
6/21 outcomes will be favorable.
Here is a list of all possible out comes:
1 - 1
1 - 2
1 - 3
1 - 4
1 - 5
1 - 6
2 - 2
2 - 3
2 - 4
2 - 5
2 - 6
3 - 3
3 - 4
3 - 5
3 - 6
4 - 4
4 - 5
4 - 6
5 - 5
5 - 6
6 - 6
The underlined ones have one or two 3's in their outcome. There are 21 outcomes total, and 6 of them have 3's in them. We will find the percentage by doing 6/21 = .286, or 28.6%. This means that for every 100 outcomes, you should expect about 29 of them to be favorable.
I hope it helps and have an amazing day! You've got this!
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find .
(b) Find .
Answer:
Step-by-step explanation:
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 384 miles apart?
Do not do any rounding.
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
Need help as soon as possible! :)
Precipitation:
Precipitation is condensed water vapor that falls back to earth.
Examples: Rain, Snow, Hail, Sleet
Evaporation:
The process of a liquid changing into gas due to an increase of tempurature or pressure.
Transpiration:
Plants absorb water through their roots and then give off water vapor through their leaves.
Accumulation:
Water collects in rivers, lakes, oceans, and other bodies of water or as ice caps or glaciers.
Infiltration:
Water soaks into the soil (not sure abt this one) from the ground level and moves into rocks through cracks and pores.
Surface run off:
Precipitation that reaches the Earths surface, flows over land, and reaches lakes, rivers, and oceans
Condensation:
The process of a gas changing into a liquid due to a decrease in temperature or pressure.
Sublimation:
The process of snow and ice changing into water vapor without first melting into water
HELP ME WALLAHI BRO HELEP PLS MASHALLAH HABIBI
Answer:
first one answer is 4 second one answer is 0
Answer:
8.9
Step-by-step explanation:
Distance Equation Solution:
d=(7−3)2+(6−(−2))2−−−−−−−−−−−−−−−−−−√
d=(4)2+(8)2−−−−−−−−−√
d=16+64−−−−−−√
d=8–√0
d=8.9
Hope this helps you!
A scale drawing has a scale is 1 inch up 8 feet. The actual length of the object shown is 42 feet. Find it’s length on the drawing.
Answer:
5.25 inches
Step-by-step explanation:
The diameter of the circle above is 20 cm. What is the circumference of the circle? (Use = 3.14.)
Step-by-step explanation:
diameter=20/2,radius=10
circumference of circle=2×pi×radius
circumference of circle=2×3.14×10
circumference of circle=62.8
Write an equivalent expression to x-9y+ 4.
Choose the correct answer below.
OA. X-9y+4 = 4(x - 9y + 1)
OB. X-9 + 4 = x-(-9y) + 4
OC. X-9y + 4 = x +4 +9y
OD. X-9y+ 4 = x +4+(-9y)
write the following numbers in order from least to greatest . -1, 1.75, -1.75, -2, -2 1/2, -5/2, 9/4 I NEED HELP ASAP PLEASE
Step-by-step explanation:
-5/2
-2
-1.75
-1
1/5
1.75
9/4
Mark as brainlist . kindly
Help who ever. actually helps me gets brainliest.
Answer:
A, C
Step-by-step explanation:
6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2
dividing 6 by 1/2 is the same as multiplying 6 by 2
please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
FAST ITS TIMED
Which expressions are equivalent to 8(-10x + 3.5y - 7)
Answer:
#2 and #4
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
1. What is the surface area of this rectangular prism? A. 16 square units B. 32 square units C. 48 square units D. 64 square units Place your answer in the hox
Answer:
64 square units
Step-by-step explanation:
8+8+8+8+16+16
If fx) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
Rationalize the denominator and simplify 6/√2-√3
Answer:
Step-by-step explanation:
[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]
[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]
[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]
The fraction after rationalizing the denominator is given by the equation
A = -6 ( √2 + √3 )
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = 6 / ( √2 - √ 3 ) be equation (1)
Now , on simplifying the equation , we get
To rationalize the denominator of the fraction ,
Multiply the denominator by its conjugate ,
So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )
Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )
A x ( √2 + √ 3 ) / ( √2 + √ 3 )
Substituting the values in the equation , we get
[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )
On simplifying the equation , we get
6 ( √2 + √ 3 ) / ( 2² - 3² )
So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )
A = -6 ( √2 + √ 3 )
Therefore , the value of A is A = -6 ( √2 + √ 3 )
Hence , the equation A = -6 ( √2 + √ 3 )
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Find the distance d(P1,P2) between the given points P1 and P2 P1=(0,0) P2=(7,6)
Answer:
The distance of given two points
d( P₁, P₂) [tex]= \sqrt{85}[/tex] = 9.219
Step-by-step explanation:
Explanation:-
Given points are p₁ ( 0,0) and p₂ ( 7,6)
The distance formula of given points are
d = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]
d = [tex]\sqrt{(7-0 )^{2} +(6 -0)^{2} } = \sqrt{49 +36}[/tex]
d = [tex]\sqrt{85}[/tex]
d [tex]= \sqrt{85}[/tex]