g(x) = x² + 4x-1
Solve
Answer:
Using the quadratic formula:
x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1
x = [-4 +- sqr root (20)] / 2
x1 = [-4 + sqr root (20)] / 2
x2 = [-4 - sqr root (20)] / 2
x1 = 0.23607
x2 = -4.2361
Step-by-step explanation:
Answer:
x = - 2 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
g(x) = x² + 4x - 1
To solve for x let g(x) = 0, that is
x² + 4x - 1 = 0 ( add 1 to both sides )
x² + 4x = 1
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 1 + 4
(x + 2)² = 5 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{5}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{5}[/tex]
Thus solutions in exact form are
x = - 2 - [tex]\sqrt{5}[/tex] , x = - 2 + [tex]\sqrt{5}[/tex]
How does a tree feel after a hard day at work?
(Math question. It one of those math riddles where you have to answer a bunch of problems to decode the answer)
Which is not a solution of 5(2x+4)[tex]\geq[/tex] 2(x+34)? pllllllzzzzzz i need this so much
I think it's help u so follow me and brainlist me if it's wrong then tell me
Which of the following could be the side lengths of a triangle?
A. 2, 3, 6
B. 9, 10, 19
C. 5, 8, 15
D. 12, 15, 25
Answer:
The answer would be D. 12, 15, and 25.
Step-by-step explanation:
The first two sides, sum must be larger than the third side.
so 12+15=27 which is larger than 25
The correct answer for the side lengths of a triangle is D. 12, 15, 25.
What is the side lengths of a triangle rule?The sides of a triangle rule asserts that the sum of the lengths of any two sides of a traingle has to be greater than the length of the third side.
If a,b,c are the sides of the triangle then,
a + b > c
Now in the given question let us suppose a,b,c be the length of the sides
A. 2, 3, 6
Here, a = 2, b= 3 and c = 6
Applying sides of a triangle rule,
a + b > c
⇒2 + 3= 5 which is less than 6
Here, a + b <c
Therefore , these are not the lengths of triangle.
B. 9, 10, 19
Here, a = 9, b= 10 and c = 19
Applying sides of a triangle rule,
a + b > c
⇒9 + 9= 18 which is less than 19
Here, a + b <c
Therefore , these are not the lengths of triangle.
C. 5, 8, 15
Here, a = 5, b= 8 and c = 15
Applying sides of a triangle rule,
a + b > c
⇒5 + 8 = 12 which is less than 15
Here, a + b <c
Therefore , these are not the lengths of triangle.
D. 12, 15, 25
Here, a = 12, b= 15 and c = 25
Applying sides of a triangle rule,
a + b > c
⇒12 + 15 = 27 which is greater than 25
Here, a + b > c
Therefore , these are the lengths of triangle.
Hence,The correct answer for the side lengths of a triangle is D. 12, 15, 25.
More about length of the side of triangle rule :
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combine like terms: 11y-2x-10y-y+6x
Answer:1y+7x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
11 y - 2 x - 10 y - y + 6 x . (Subtract all the y's first then the x's)
4x
Translate the phrase into an algebraic expression, then simplify.
The sum of -23 and 9,
Answer:
69
Step-by-step explanation:
Which is the length of x? 1 7/9 2 1/2 1 1/4 1 3/5
Answer:
option D. x = 1 3/5
Step-by-step explanation:
ratio and proportion
4 = x
5 2
X multiply:
5x = 4(2)
5x = 8
x = 8 / 5
x = 1 3/5
Answer:
x = 1 3/5
Step-by-step explanation:
x = 1 3/5
Solve problem step by step 3(2x-4)=8
Answer:
x = 10/3
Step-by-step explanation:
3(2x-4) = 8
3*2x + 3*-4 = 8
6x - 12 = 8
6x = 8 + 12
6x = 20
x = 20/6
x = 10/3
Check:
3((2*10/3) - 4) = 8
3(20/3 - 4) = 8
20 - 3*4 = 8
20 - 12 = 8
The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet mars is about 7000km. What is the approximate ratio of the diameter of the Sun to the diameter of Mars?
Answer:
200 : 1
Step-by-step explanation:
Given that,
The diameter of the Sun is 1.4 x 10⁶ km and the diameter of the planet mars is 7000 km.
We need to find the ratio of the diameter of the Sun to the diameter of Mars. Let the ratio is R. So,
[tex]R=\dfrac{\text{diameter of the Sun}}{\text{diameter of Mars}}\\\\R=\dfrac{1.4\times 10^6\ km}{7000\ km}\\\\R=\dfrac{200}{1}[/tex]
Hence, the ratio is 200:1.
Clear parentheses and combine like terms:
Answer:
A. 14uv+7uv^2
Step-by-step explanation:
9uv+3u^2+5uv+4u^2
9uv+5uv+3u^2+4u^2
14uv+7uv^2
Hope this helps ;) ❤❤❤
2. Help with this pls
I believe the answer is A.
Write the sentence as an equation.
247 is equal to 144 more than the quantity 195 times v
Answer:
247 = 144 + (195 ⋅ v)
i need help please :(
Answer:
B
Step-by-step explanation:
Recall the product property of exponents, where:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
In our expression, x is 3, a is -8, and b is 4. Thus:
[tex]3^{-8}\cdot 3^{4}=3^{-8+4}[/tex]
Add in the exponent.
[tex]=3^{-4}[/tex]
So, our answer is B.
And we're done!
Which statement best describes the zeros of the function h(x) = (x-4)2(x - 7x + 10)?
Answer:
where are the options
Step-by-step explanation:
Answer: The answer is THE FUNCTION HAS THREE DISTINCT REAL ZEROS
Step-by-step explanation:
I’m pretty sure I still need to check if I got it right
what is 186 over 31
Answer:
6
Step-by-step explanation:
What is the difference between the absolute value of 4 and the absolute value of –3?
Answer:
The absolute value of -3 is three the absolute value of 4 is 4.
Answer:
k bro the correct answer is 7
Step-by-step explanation:do 4 - 4 which equals 0 right then minus 3 more to get -3 therefore your answer is 7 Mark brainliest plz
How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800
Answer: 100/400
Step-by-step explanation:
What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y? Enter your answers in the boxes.
Answer:
=7x+2y+4
Step-by-step explanation:
Answer:
7x+2y+4
Step-by-step explanation:
combine like terms:
8x-x=7x
-2y+4y=2y
3+1=4
so the simplified form of the equation is 7x+2y+4
A car travels 200 ft before stopping.How many meters is this?
Answer:
the answer is 60.96
Step-by-step explanation:
*please give me brainliest, i only need four more*
Evaluate k ^5 · m If k=2 and k=5
Answer:
32, 3125
Step-by-step explanation:
2^5=32 and 5^5=3125
Brandy borrowed $12,500 from her dad and made an agreement to pay him back over 4 years at an annual simple interest of 3%. What is the TOTAL amount she will pay her dad back over the 4 years?
Answer:
1400 if not compounded
Step-by-step explanation:
12500x.03
Answer:
14,000
Step-by-step explanation:
Step 1:
- 12,500x0.03=375
- 375x4=1500
1500 is the interest amount
but it's asking for the total so
Step 2:
- 12500+1500=14,000
- 14,000 is the TOTAL account balance.
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.24, the probability that it was mainly silver was 0.22 and the probability that it was mainly black was 0.19. In this region, are the events "silver" and "black" mutually exclusive? Find the probability that a randomly selected car from this region is mainly silver OR mainly black.
Answer:
0.41 probability
Step-by-step explanation:
0.22 + 0.19 = 0.41
Answer:Yes they are mutually exclusive!
0.22 + 0.19 = 0.41
How do I solve -2x +6-(-5) +5x
Answer:
3x+11
Step-by-step explanation:
-2x +6-(-5) +5x
-2x+11+5x
3x+11
What is the answer for -4-(7t-4)^2=-49
t₁ = (3√5 + 4)/7
t₂ = -(3√5 - 4)/7
Step-by-step explanation:- 4 - (7t - 4)² = - 49
- (7t - 4)² = - 49 + 4
- (7t - 4) = - 45 | (-)
(7t - 4)² = 45
(7t - 4)² = 3√5
7t - 4 = ± 3√5
7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7 7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7The power generated by an electrical circuit (in watts) as a function of its current c cc (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8) What is the maximum power possible?
The maximum power is 4A.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The given function
P(x) = - 15x (x-8)
P(x) = - 15x² + 120x
The standard form of a quadratic function is:
y = ax² + bx + c
For which x is the maximum of the parabola
x = - b/2a
So, a = -15 and b = 120.
Then, x = - 120/(2 · (-15))
x = - 120/ (-30)
x = 4A
Learn more about Function here:
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what times what times what times what equals -5/24 i need two different ways please help
Answer:
;fjk;rofkfk;;fkslgl;fkfls'rfi;,dfei;se;feieirjeiljlaejre
sfe;jflejflseleijflskfeselselehf
Step-by-step explanation:
ueufaepfsfjseuefkeou;oiwrrsdkuijksgukuisdjyfekefaehkf
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29.a) trueb) false
Complete question :
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29
a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.
b. Does the value 3.29 represent the population parameter or the sample statistic?
Answer:
True ; population parameter
Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.
B.) population parameter
Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.
Same statistic represents estimates derived from a sample (subset of the entire population).
Solve for t in terms of q, r, and s.
S = rqt
T=
The solution is: the value of x, and the angles m∠SQT and m∠RQS are:
x = 23, m∠RQS = 72°, m∠SQT = 83°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
Hence, The solution is: the value of x, and the angles m∠SQT and m∠RQS are: x = 23, m∠RQS = 72°, m∠SQT = 83°.
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complete question:
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
tickets to a school dance are sold for $10 each the student council spent a total of $400 on setup cost for the dance the school's profit p in dollars from the dance depends on the number of tickets sold which function describes the relationship between p and t
Answer:
I think it’s p(t)=10t-400
Answer:
t(p) = 10p-400
Step-by-step explanation:
(Giving Brailniest) What is 18x+20
Answer:
[tex]2(9x+10)[/tex]
Step-by-step explanation:
[tex]18x+20[/tex]
First, we have to factor. We will have to factor out 2 to get the answer(Factor out 2 from 18x+20).
Answer:
[tex]2(9x+10)[/tex]
Hope this helps!