The quadratic equation with the given conditions is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)[/tex]
In which a is the leading coefficient.
In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:
[tex]f(x) = a(x - (-6))(x - 4)[/tex]
[tex]f(x) = a(x + 6)(x - 4)[/tex]
[tex]f(x) = a(x^2 + 2x - 24)[/tex]
It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.
[tex]a(2^2 + (2)(2) - 24) = -3[/tex]
[tex]-16a = -3[/tex]
[tex]a = \frac{3}{16}[/tex]
Thus, the equation is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
A similar problem is given at https://brainly.com/question/17987697
A unit to express volume is?
Answer:
Please mark Brian List The answer is Cubic units
Answer:
The unit used to express volume is cubic units
any unit but it should be cubic
like cm³ ml³
could someone please help answer this thank you, please no spam, will give brainliest, (homework help)
Answer:
I think it's:
w>2
sorry if I'm wrong
What is the solution to this equation?
7- 3√2-x=12
The value of x is -(5 + 3√2).
what is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
7- 3√2-x=12
Now solving
7- 3√2-x=12
Subtract 7 from both side
7- 3√2-x - 7 =12 - 7
- 3√2-x = 5
Now, add 3√2 both side
-3√2 -x + 3√2 = 5 + 3√2
-x= 5 + 3√2
x= -(5 + 3√2)
Hence, the value x is -(5 + 3√2).
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help me answer these pls!!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
1st blank - DAB 2nd blank - BCD3rd blank - SSS4th blank - Angle C5th blank - CPCTC 6th blank - Angle C7th blank - 180°8th blank - Angle C 9th blank - 90°What is 25% of $30?
Somebody please explain with proof thanks!
Answer: 7.5$
Step-by-step explanation:
it is 7.5$ because pretend 25% is a quater 4 quaters = 1 $ so if u do 7.5 x 4 it = 30$ hope this helped :)
-3x + b = 6x
solve for x
Answer:
x = 1/9(b)
Step-by-step explanation:
Step 1: Subtract 6x from both sides.
[tex]-3x + b - 6x = 6x - 6x[/tex] [tex]-9x + b = 0[/tex]Step 2: Subtract b from both sides.
[tex]-9x + b - b = 0 - b[/tex] [tex]-9x = -b[/tex]Step 3: Divide both sides by -9.
[tex]\frac{-9x}{-9}= \frac{-b}{-9}[/tex] [tex]x = \frac{1}{9}b[/tex]Therefore, [tex]x = \frac{1}{9}b[/tex].
Multiply the binomials using box method or algebra tiles
(x-5)(x+1)
The basketball team practices 3 and 1/4 hours on Monday and practiced 2 and 1/3 hours on Tuesday. How many hours has the team practiced so far this week?
Answer:
5 7/12
Step-by-step explanation:
3 1/4 + 2 1/3
Multiply the fractions by a number in order to have the same denominator. ( in this case 12)
3 3/12 + 2 4/12
Add straight across
5 7/12
In a scale drawing, 1 12 inches represents 12 miles. How many inches would you need to
represent 15 miles?
Please need this soon
Please help me fast I am confused!!!
Answer:
The second choice.
Step-by-step explanation:
A linear functions graph is a straight line.
I'll mark BRAINLIEST to whoever answers first.
a * b > a
For this statement to be true, b must be;
greater than 1 or less than one
Select the correct answer.
Answer:
depends
Step-by-step explanation:
if the value of (a) is negative, then (b) being greater than 1 would make the answer smaller. if (a) is positive, then (b) would have to be greater
Answer:
greater than 1
Step-by-step explanation:
must be greater than 1.
WHY?:
a is possitive = +a
b can't be negative or zero
if b is equal to 0
then a * 0 = 0
0 is lesser than one
Pls do 5 and 2 also explain
20pts plus BRAINLIST
13. Analyze: How much money is 1/2 of a dollar plus 3/4 of a dollar plus 3/10 of a dollar?
I keep forgetting my fractions.
Answer:
1 dollar & 55 cents
0.5+0.75+0.3=1.55
Evaluate V.
V=LWH
L=3. W = 2. H= 1
Answer:
Answer is 6cm³
Step-by-step explanation:
V = 3 × 2 × 1
= 6cm³
3[-2(8-13)] how to solve it
Answer:
3 times - 2,times 8-13
You solve the ones in the bracket first
(the rule of BODMAS)
So 8-13 first, then
-2times 8-13,then
Then you get your answer
Abdul drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?
Pablo can wash 6 cars in 40 minutes at this rate how many cars can Pablo wash in 4 hours
Answer:
16
Step-by-step explanation:
convert 40 minutes to hours
[tex] \frac{40 \: minutes}{1} \times \frac{1 \: hour}{60 \: minutes} = \frac{40}{60} = \frac{2}{3} hour[/tex]
multiply to find the number of cars per hour
[tex] \frac{2}{3} \times \frac{6}{1} = \frac{12}{3} = 4 \: cars \: per \: hour[/tex]
multiply again
[tex]4 \times 4 = 16[/tex]
help with top one? thankss
Answer:
$7.90 per pound
Step-by-step explanation:
11.85/3 = half pound = $3.95
3.95x2 = 7.9 = 1 pound
the standard form of "three thousand four hundred eight."
Answer:
3,408
Step-by-step explanation:
Answer:
3,408 is the forms of three thousand four hundred eight
Allison and Lindsey each measured their bedrooms for new carpeting. They found
that both rooms were square, with the length of Lindsey's room 3 feet longer than
Allison's. If Lindsey needed 225 square feet of carpeting, how many square feet of
carpeting did Allison need?
Answer:
Step-by-step explanation:
Let's assume that the length of a side of Allison's room as x
So, Lindsey's room = x + 3
If Lindsey's room needs 225 sq. feet of carpeting, then x + 3 = [tex]\sqrt{225}[/tex]
So, x + 3 = 15
Therefore, x = 15 - 3 = 12 ( So, Allison's room has a side of length 12)
Therefore, the carpeting needed = 12 × 12 = 12² = 144 sq. feet
There's your answer!
round 487 to the nearest 10
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
2(x+7)=72 no, because this only changes the value on the right side. so this equation is not about the same equality anymore.
x+7=18 yes, because both sides were transformed by the same operation (division by 2). the equality is still maintained.
2x+7=36 no, because 2x+7 is NOT equal to 2(x+7). resolving 2(x+7) is 2x+14.
x+14=36 no, because again, x+14 is NOT equal to 2(x+7).
(2×x) + (2×7) = 36 yes, because the left side is a valid transformation of 2(x+7).
2x+14=36 yes, because the left side is a valid transformation of 2(x+7).
help
Which lines are perpendicular to the line y –1=1/3(x+2)?
check all that apply
y + 2 = –3(x – 4)
y − 5 = 3(x + 11)
y = -3x – Five-thirds
y = One-thirdx – 2
3x + y = 7
Please answer the math problem... I will mark you brainliest
Answer:
Step-by-step explanation:
im sorry i cant see the problem
what is the justification for step 3 in the solution process
Answer:
the multiplication property of equality
Please solve!!!! I have been trying to figure out for the past 20 years of my life>
Answer:
ergerge
Step-by-step explanation:
Answer:
What is it freaking asking???
Step-by-step explanation:
What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest
Answer:
A) You would use the two points that are closest to the graphed line
(2,7) and (8,13)
B) Slope = change in Y over the change in X:
Slope = (13-7) / (8-2) = 6/6 = 1
Slope = 1
c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.
Equation is: y-7 = x-2
d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.
To isolate Y add 7 to both sides:
y = x +5
Step-by-step explanation:
The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
Here, it is given that line passes though point (-3,1) and having slope of 3.
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-1) = 3(x-(-3))
y -1 = 3x + 9
y = 3x + 9 + 1
y = 3x + 10
Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
check and know more about line here :
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plz help me with this
Answer:
12
Step-by-step explanation:
I need to understand the process, any help is much appreciated. :)
Answer:
15 x -5y -6 -2y
-75y -6 -2y
-77-6
If f(x) = 52, what is the value of f(-6), to the nearest hundredth (if necessary)?
Answer:
the correct answer is 52