Answer:
[tex]b=-5, -7[/tex]
Step-by-step explanation:
We have the equation [tex]b^2+35=-12b[/tex] and we want to solve it by factoring.
First, let's move all the stuff to one side so that the other side is 0. So, let's add [tex]12b[/tex] to both sides. This yields:
[tex]b^2+12b+35=0[/tex]
Let's review how to factor. If we have an equation in the following form:
[tex]ax^2+bx+c=0[/tex]
Where a, b, and c are the coefficients of the variable (in our example, our variable is b), then we must find two numbers, p and q, such that:
[tex]pq=ac \text{ (p times q equals a times c) and}\\p+q=b \text{ (p plus q equals b)}[/tex]
Our equation can be rewritten as:
[tex](1)b^2+(12)b+(35)=0[/tex]
So, our a is 1, b is 12, and c is 35.
Therefore, we need to find two numbers that when multiplied together yields a(c) = 1(35) = 35 and we added together yields b = 12.
From here, we just have to guess and check. We can start by listing all the factors of 35. There aren't in fact that many:
[tex]35: 1\text{ and } 35, 5\text{ and } 7[/tex]
1 + 35 is 36, not 12. However, 5 + 7 is indeed 12. So, our two numbers p and q are 5 and 7.
Now what we've found our two numbers, we substitute the b term for our two numbers. We have:
[tex]b^2+12b+35=0[/tex]
We will substitute 12b for 5b + 7b:
[tex]b^2+5b+7b+35=0[/tex]
From here, we factor by grouping. From the first two terms, factor out a b:
[tex]b(b+5)+7b+35=0[/tex]
And from the last two terms, factor out a 7:
[tex]b(b+5)+7(b+5)=0[/tex]
Now, notice that both terms have a [tex](b+5)[/tex]. So, by using grouping or the reverse of the distribute property, we can write:
[tex](b+7)(b+5)=0[/tex]
Notice that if we distribute the left term into the right, we get [tex]b(b+5)+7(b+5)=0[/tex], so our equation is indeed equivalent.
So now we. have:
[tex](b+7)(b+5)=0[/tex]
We can now use the Zero Product Property to acquire:
[tex]b+7=0\text{ or } b+5=0[/tex]
Solve for b for each case. Therefore, the solutions of our equation are:
[tex]b=-7\text{ or } b=-5[/tex]
Notes:
If we can't find two numbers p and q that satisfy our conditions, this means that the equation cannot be factored. So, we will use alternative methods to solve our equation.
A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?
The slope of y = 2x - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points A and B is also 2. This means
(8 - 4) / (6 - n) = 2
Solve for n :
4 / (6 - n) = 2
4/2 = 6 - n
2 = 6 - n
n = 6 - 2
n = 4
Without solving, how can you tell that the inequality 4x + 8 = 4x - 3 has no solution?
Answer:
there are no x values of X that make the equation true
Step-by-step explanation:
The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution or the equation is wrong.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
Given the equation
4x + 8 = 4x - 3
Subtract 4x from both sides
4x + 8 - 4x = 4x - 3 - 4x
(4x - 4x) + 8 = (4x - 4x) - 3
8 ≠ 3
Since it is not satisfying so it will not have any solution.
Hence "The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution".
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what is the value of (-2)^6 ?
Answer:
64
Step-by-step explanation:
Answer:
-64 would be the answer
HELPP HELPP HELPP!!!
Answer:
x<2
x greater or equal to -2
Step-by-step explanation:
Answer:
the answer is x<2
Step-by-step explanation:
meaning x greater or equal to -2!
bye
True or false don’t lie
Answer:
t
Step-by-step explanation:
falseeeeeeeeeeeeeeeeeeeeee
A bar of steel 340 cm long
Answer:
ok, and?
Step-by-step explanation:
whats the answer to number 3? please and thank you! and please provide steps
Answer:
33°
Step-by-step explanation:
In triangle ABC,
<ABC +<BAC+<ACB =180°[Sum of three angles of a triangle]
2x+15+2x+x=180
5x=180 - 15
x=165/5
x=33°
Hope this helps!!
The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
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Can someone please help me with this
Answer:
8 and 7, I think...
Step-by-step explanation:
keep it up
Supplementary means that the 2 angles add up to 180 degrees. This means that angles 7 + 8 are supplementary
Determine whether each expression is a polynomial. If so, identify the polynomial
as a monomial, binomial, or trinomial.
Answer:
1. is monomial
2. is binomial
3. is binomial
4. is trinomial
5. is trinomial
6. is binomial
Step-by-step explanation:
See...you need to know that the polynomial is determined by the number of unlilke terms in the expresion. i.e number of terms left that cant ne add subtracted or simplified anymore.
if its helpful send more quest om this...and domt forget brainliest
The expression shown are 1. Monomial 2. Not a polynomial 3. Binomial 4. Trinomial 5. Not a polynomial 6. Binomial
What is Polynomial?Polynomials are expressions of the form,
a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ
where a's are the coefficients, x is the variable and n is the number of terms.
1. 36
36 can be written as 36 x⁰.
This is a constant polynomial.
Since there is only one term, it is monomial.
2. [tex]\frac{3}{q^{2} }[/tex] + 5
This can be written as 3 q⁻² + 5.
The exponent of the variable is not a whole number, so is not a polynomial.
3. 7x - x + 5
This can be written as 6x + 5.
This is a polynomial and is binomial since there are two terms.
4. 8g²h - 7gh + 2
This is a polynomial in two variables.
This is a trinomial, as there are three terms.
5. [tex]\frac{1}{4y^{2} }[/tex] + 5y - 8
This can be written as 1/4 y⁻² + 5y - 8
This is not a polynomial as the exponent is not a whole number.
6. 6x + x²
This is a polynomial.
It is a binomial.
Hence four of the expressions shown are polynomials.
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answer the question >:D
Answer:
15 is the diameter and 7.5 is the radius
Step-by-step explanation:
The radius is the half of the diameter hehe boi
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. How much does an ice cream cost with 4 ounces of toppings?
Answer:
5 dollars
Step-by-step explanation:
an ice cream is 3 dollars and 1 ounce of toppings is 50 cents 0.5 dollars times 4 equals 2 dollars. so 3+2 equals 5
Answer:
$5.00 I believe.
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Assuming you want to arrive as close to the scheduled time as possible, from which airline should you buy your ticket? Justify your response by addressing both the measures of center and spread of the distributions.
Answer:
Airline Q because it has the most on time arrivals and it is spread out to have more early arrivals than airline p
Step-by-step explanation:
One pound of apples is $2. You have no more than $13 to spend on apples
Answer:
You are able to by 6 apples with $1.00 dollars remaining.
Step-by-step explanation:
I'm not sure what you were trying to ask because you didn't leave a question in the statement you provided
Answer:
You can buy 6 pounds of apples.
Step-by-step explanation:
13 is an odd number, so we find the closest even number that doesn't go over 13. That number is 12. Then, we take 12 and divide it by 2, since $2 is how much a pound of apples cost. 12 divided by 2 is 6. So, our answer is 6 pounds of apples.
Hope this helped you!
3y + 8 = I 7
Also can you show me the written steps?
How do you solve this?!!
Answer:
135°
Step-by-step explanation:
Step 1:
100° + 35° + 180° - ? = 180° Sum of a Δ/Vertical ∠'s
Step 2:
315° - ? = 180° Combine Like Terms
Step 3:
315° = 180° + ? Add ? on both sides
Step 4:
315° - 180° = ? Subtract
Answer:
? = 135°
Hope This Helps :)
I really need help with this
The Trailblazer Diner serves hotdog plates for $4.50 each and hamburger plates for $6. If 512 students bought lunch from the diner and the total revenue from the sale of the plates was $2,580, then how many hotdog plates were sold, and how many hamburger plates were sold?
Answer:
256 of each
Step-by-step explanation:
512 divided by 2= 256
Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, in months?
A.) () = $125 + $22
B.) () = $125 + $22
C.) () = $125 + $22
D.) () = $125 + $22
Answer:
which principle prevents a brach from abusing its powerwhich principle prevents a brach from abusing its power
Step-by-step explanation:
Lowest temps, Ontario, CA, April 2020 Date Low temperature 4/4/20 −1.8 °C 4/12/20 0.6 °C 4/18/20 −2.8 °C 4/23/20 (missing) 4/28/20 −0.2 °C The table shows the lowest temperatures recorded on five days in April 2020, but the value for 4/23/20 has been lost. If X is the lost value, and if we know that X was the middle value of the five days, which choice could be the value of X? A) −1.9 °C B) −0.9 °C C) −0.1 °C D) 0.4 °C
Answer: D
Step-by-step explanation:
If you notice there is a pattern going on here the first temp recorded is negetive then the next is a normal temp then the next is negetive so it would be reasonable to think that the next temp would be normal and all the other options are negetive exept for one which is D so the answer is D.
Answer:
Step-by-step explanation:
mn[tex]x^{2} \\jjl[/tex]
8) You and your friends order a meal for $179.77. How much tip
should you leave if you want to leave a 15% tip?
9) You and your friends order a meal for $149.58. How much
should you leave (including tip) if you want to leave a 18% tip?|
The answer for 8 is a $27 tip
The answer for 9 is a $26.92 tip
Reduce to simplest form
6/3 + (-1/6) PLZ HURRY!
Question 3 (2 points)
If given an Equation, you will do which of the following (Check all that apply)?
a
Solve
b
Simplify
Evaluate
с
d
All of the Above
‼️ WILL GIVE BRAINLIEST AND 50 POINTS ‼️
>ALGEBRA I
If you can answer this super quickly, I will give you what I promised. Please answer all, no explanations needed.
Just questions 1&2, question 1’s options for all of them are:
•commutative property of
•addition property of equality
•2x = 8
•distributive property
•division property of equality
•x = 4
•multiplication property of equality
•subtraction property of equality
Answer:
All Real Numbers
Step-by-step explanation:
[tex]\text{Some equations, such as } 2x=2x \text{ have \bf all real numbers }\text{ as the solution.}[/tex]
The equation has infinity solutions. So, in this question as[tex]x\in \mathbb{R} \implies Dom(f)=(-\infty, \infty)=\mathbb{R}[/tex]
Just considering the problem as a function.
what is the difference between an equal sign and an inequality sign?
Inequality sign means not equal (not same value)
Equal sign means equal (same value)
Answer:
Inequality is greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions
and equal is the sum of the problem
Step-by-step explanation:
Divide.
[tex] \frac{ - 15}{ - 5} [/tex]
I am very confused.
Answer:
3
Step-by-step explanation:
when dividing a negative and a negative it will always be positive remember
and so it is 15/5=3
Answer:
3Step-by-step explanation:
[tex]\frac{-15}{-5}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\\\=\frac{15}{5}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\\\=3[/tex]
can you solve this problem
Answer:
78 people were originally on the boat
Step-by-step explanation:
Answer:
78 people started on the boat
Step-by-step explanation:
Ayuda por favor en la actividad 3 , Funciones, Matemáticas
Answer:
y = 1
y = 16
y = 20
y = 0
Step-by-step explanation:
Por cada valor de x intercambialo con su valor nuevo.
There are 30 dogs, 40 cats, 45 turtles, and 20 birds in a park. What is the ratio of the total number of cats and dogs to the number of turtles?
Answer:
70:45
Step-by-step explanation:
I don't really know how to explain this sorry
Hopefully this helps though!
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
(-1, ___)
a. 1
b. 0
c. -4
d. 5
what is the ratio for 8 and 12