Answers
Answer:
see explanation
Step-by-step explanation:
x² + 3x + 7 = 5 ( subtract 5 from both sides )
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x ( zero product rule )
x + 2 = 0 → x = - 2
x + 1 = 0 ⇒ x = - 1
--------------------------------------------------------------
x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )
3x² - 5x - 2 = 0 ← in standard form
(3x + 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]
x - 2 = 0 ⇒ x = 2
------------------------------------------------------------
(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify
x² + 6x + 9 + 4x = 0
x² + 10x + 9 = 0 ← in standard form
(x + 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x + 1 = 0 ⇒ x = - 1
Related Questions
Please help! Thank you :) Will give brainlist
Answers
Question 1:
Solve for k :
Answers
step by step explanation: divide 108 and -3 and because there is one negative it’d be -36
hope this helps
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
Please consider Brainliest :)
20 points!!
Find the equation of the trend line (line of best fit). Show your work.
Answers
Answer:
so, i found two points that are on the graph.
(50, 100) (100, 200)
Step-by-step explanation:
then u fraction them (rise over run) 100/50 200/100 and simplify 2/1 thats ur slope or "m" then im pretty sure u put it in a y=mx+b so y= 1/2x+0
Anyone can find this?
Answers
Answer:
a=34 °
b=76°
c=70°
d=70°
Step-by-step explanation:
The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.
180° = 76° + 34° +c
c=70°
The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.
X-3y=9 into a slope intercept form
Answers
Answer:
y=1/3x-3
Step-by-step explanation:
Slope intercept form is: y=mx+b
so you need to leave y on one side and the others on the other side:
First, you need to move the x to the other side by subtracting x on both sides:
x-x-3y=-x+9
Simplify:
-3y=-x+9
Now you divide -3 on both sides to eliminate the -3 on -3y:
y=1/3x-3
Hope this helps!
- Slope is m which is the gradient.
- the gradient formula is y=mx+b
-I.e mx represent the gradient and b is y-intercept.
- x-3y=9–> 3y=x-9
Then divide 3 to both side to cancel the 3y=y.
—> y=x/3-3
I hope this helps!
A submarine is at a depth of 30m. It descends another 20m and then rises
40m. What is its final depth?
Answers
the answer is 10m deep after rising
what is the simplified form of x+6/x+4 +x-3/3
Answers
Answer:
3x+2
Step-by-step explanation:
x+6/x+4+x-3/3
3x+6/4-3/3
3x+6/1/3
3x+6/3
3x+2
En tu trabajo de ciencias te toco realizar un experimento de cultivó de hongos en una pieza de pan de harina de trigo y una tortilla de maiz. La secuencia de revisión para la toma de datos será, en el primer caso, cada 15 dias; y en el otro, cada 20 por tres meses. ¿A los cuantos días te tocaría revisar ambos cultivos?
Answers
Responder:
60 días
Explicación paso a paso:
Primer caso = cada 15 días
Segundo caso = cada 20 días
El número de días en los que habrá que comprobar ambos cultivos se puede obtener encontrando el mínimo común múltiplo de 15 y 20
Múltiplo de:
15:15, 30, 45, 60, 75, 90, 105
20:20, 40, 60, 80, 100, 120
El mínimo común múltiplo de 20 y 15 es 60
El día en el que habrá que controlar ambos cultivos es de 60 días
is x=2y a proportional relationship??
Answers
Answer:
yes
Step-by-step explanation:
yes
x= y*something is proportional
x=sometting /y , will be invers proportional
f(x) = 5x^3 + 2x^2 – 7x + 4
g(x) = 3x – 7
Find (f +g)(x)
Answers
Answer:
d
Step-by-step explanation:
I am pretty sure that is the answer
A function assigns the values. The value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the two functions such as,
f(x) = 5x³ + 2x² – 7x + 4
g(x) = 3x – 7
Now, the value of (f +g)(x) is the value of the function which is produced when the two of the given function are added together, therefore, the value of the added function can be written as,
(f +g)(x) = f(x) + g(x)
(f +g)(x) = (5x³ + 2x² – 7x + 4) + (3x – 7)
= 5x³ + 2x² – 7x + 4 + 3x – 7
= 5x³ + 2x² – 4x – 3
Hence, the value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
help fast it's timed please
Answers
Answer:
180 degrees
Step-by-step explanation:
the sum of all the interior angles of a triangle will always be 180 degrees
Answer: 180 degrees
Step-by-step explanation: just search it up and yes it is 180 degrees
solve 8p = 40 using mental math
A 32 B6 C 5 D 4
Answers
Answer:
B
Step-by-step explanation:
Answer:
c. 5
Step-by-step explanation:
8 times 5 is = to 40
A quadratic function is increasing to the left of x = 2 and decreasing to the right of x =2. Will the vertex be the highest or lowest point on the
graph of the parabola? Explain.
Answers
9514 1404 393
Answer:
highest point
Step-by-step explanation:
If the slope goes from positive to negative as x increases, the slope of the slope is negative. That means the curve opens downward. A parabola that opens downward has a vertex that is the highest point on the graph.
grabriella volunteers at the hospital every 4th day.she volunteers at the food pantry every 6th day.she volunteered at the hospital and the food pantry both on march 31.On what date will she next volunteer at both?
Answers
Answer:
April 12th
Step-by-step explanation:
Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures already. He and two of his friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?Solve the inequality algebraically.
Answers
Answer:
At least 19 signatures.
Step-by-step explanation:
Winston already has 23 signatures, so he has 57 left to go (80 - 23).
There are 3 people collecting signatures, so the equation will be as following:
3x ≥ 57
To break down this equation, 3x because each person is collecting x number of signatures, and 57, because if you add those signatures upp, then it will have to be at least 57, therefore the operator should be ≥ .
If you solve 3x ≤ 57, then you will find that x ≥ 19, so they each have to have at least 19 signatures.
I hope that you found this helpful!
If we dilate a triangle with a scale factor of 3 how can we calculate the side lengths of the new triangles
Answers
Answer:
Option 2
Step-by-step explanation:
Given An = 5a(n-1) where a1= 2. What are the first 4 terms
Answers
Answer:
2, 10, 50, 250
Step-by-step explanation:
Using the formula with a₁ = 2 , then
a₂ = 5a₁ = 5 × 2 = 10
a₃ = 5a₂ = 5 × 10 = 50
a₄ = 5a₃ = 5 × 50 = 250
The first 4 terms are 2, 10, 50, 250
3x=9+9x what does x equal?
Answers
Answer:
Exact Form:
X= - 3/2
Decimal Form:
X= -1.5
Mixed Number Form:
X= - 1 1/2
Step-by-step explanation:
-9x -9x
__________
-6x = 9
/ -6x /-6
X= -1.5
why did trump get any votes. he is a terrible person
Answers
Answer:
terrible people vote terrible representatives
Step-by-step explanation:
what is the multiple of 9 but is also a factor of 9
Answers
Answer:
the answer i believe is 3
Factors is 1x9 and 3x3
Multiple is 1x9 is 9
2x9 is 18 and then they keep getting bigger from there
If the point (0, 20) is the y-intercept of the parabola with the vertex is (8, -12), What is the equation for this parabola.
Answers
Answer:
f(x) = ¹/₂(x - 8)² - 12Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (8, -12) is
f(x) = a(x - 8)² - 12
The point (0, 20) is the y-intercept means if x=0 then f(x)=20
20 = a(0 - 8)² - 12
20 +12 = 64a - 12 +12
32 = 64a
a = ³²/₆₄ = ¹/₂
Therefore the equation (in vertex form) of parabla is:
f(x) = ¹/₂(x - 8)² - 12
write an expression in simplest form that represents the cost for shampooing and cutting w women's hair and m men's hair.
Cut for women: $15
Cut for men: $7
Shampoo for women: $5
Shampoo for men: $2
Answers
Answer:
the cost of the women's haircut is $15 and to shampoo the woman's hair is $5
and the cost of the mens hair cut is $7 and to shampoo the mens hair is $2
15+5=$20 is how much it cost for the women.
7+2=$9 is how much it cost for the men.
Step-by-step explanation:
What is the final sales price of a telescope that originally cost $400 but was marked up 32?
Answers
Answer:
$528
Step-by-step explanation:
I'm assuming you mean up 32%?
The probability that Lara will win the boys’ 100 m race is 4/7 and the probability that Dhiya will win the girls’ 100 m race is 3/7 . What is the probability that (i) Both of them will win their events
Answers
Answer:
Step-by-step explanation:
P(both) = 4/7 * 3/7 = 12 / 49
answer please below!!!
Answers
Answer:
False because of the way your trionomial is setup
given 2 variables and you only have one
Step-by-step explanation:
Expand and Simplify
4( b+3) + 2 (b + 5)
Answers
Answer:
4( b+3) + 2 (b + 5)
4b+12+2b+10
6b+22
Step-by-step explanation:
Answer:
6b + 22
Step-by-step explanation:
4b + 12 + 2b + 10
add the like terms so 4b and 2b & 12 and 10
so: 6b + 22
1. The ratio of boys to girls in the sixth grade is 2 : 3.
a. If there are 24 boys, how many girls are there?
b. If there are 80 students, how many are girls?
c. If there are 75 students, how many more girls are there than
boys?
Answers
Answer:
a. 36 girls
b. 48 girls
c. 15 more girls than boys
Step-by-step explanation:
a. if the ratio for the question is 2:3 with a refernce ratio of 24:X, with cross multiplication we find out the x=36
b. now we must separate 80 into the 2:3 ratio making 32:48 with 48 girls
c. the same thing will be done with 75, making its 2:3 ratio 30:45, to find the difference of the two numbers you must subtract, this shows that the difference is 15 more girls.
what Is thee error and the solution
Answers
Answer:
X=5
Step-by-step explanation:
Multiply by 3 first
Please help!!!
Which statements are true about the ordered pair
(2, 3)
and the system of equations?
3x + 4y = 18
2x - 2) = 2
Select each correct answer.
When
(2, 3) is substituted into the second equation, the equation is true.
The ordered pair (2, 3) is not a solution to the system of linear equations.
When (2, 3) is substituted into the first equation, the equation is false.
The ordered pair (2, 3) is a solution to the system of linear equations.
(2, 3) is substituted into the first equation, the kuation is true.
When (2, 3) is substituted into the second equation, the equation is false.
When
Answers
Answer:
63.0985
Step-by-step explanation:
The college student who is looking for a data plan for her cell phone found a third option,
which also offers a 2 gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function C defined by:
C(x) = 30x + 5, where x is the gigabytes of data used over the monthly allowance.
1. Find C(0.7) and explain what it means in this situation,
Answers
Answer:
C(0.7) = 26
Step-by-step explanation:
Given:
C(x) = 30x + 5
where,
x = gigabytes of data used over the monthly allowance.
1. Find C(0.7) and explain what it means in this situation
C(0.7) means he used 0.7 gigabytes of data over the monthly allowance
Substitute x = 0.7 into the equation to find the monthly cost of the option
C(x) = 30x + 5
C(0.7) = 30(0.7) + 5
= 21 + 5
= 26
C(0.7) = 26
When x = 0.7, his total cost will be 26