Answer:
301.75$
Step-by-step explanation:
have a good day
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
f(x) = x² + 7x + 10
The quadratic equation is x² + 7x + 10.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
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.
We have the zeroes of Quadratic Equation as -2 and -5.
So, the factors of the equation is (x +2 ) and (x + 5).
Then, the Quadratic equation is
= (x+5)(x+2)
= x² + 5x +2x + 10
= x² + 7x + 10
Thus, the quadratic equation is x² + 7x + 10.
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
D) -[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.
Answer:
D,_3/2
Step-by-step explanation:
when two lines are perpendicular, m¹=_1/m²
Colin hits a ball 5 times out of 12 times is thrown to him based on that rate what is approximate probability that coin will hit the next ball that is thrown to him
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm
Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?
Answer:
$900
Step-by-step explanation:
3% of 6,000 is 180
so, he earns $180 per annum
5 YEARS LATER
he has been earning $180 every year, so,
180+ 180+ 180+ 180+ 180, or 180*5
$900
Hope this helps!
Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.
The relationships between the amount spent on books and the cost of
each book is a proportional relationship.
The correct responses are;
[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]Reasons:
The amount Gaya spends on books = $48
The cost of each book = $ x
(a) The expression in terms of x for the number of books Gaya buys is therefore;
Number of books Gaya buys × $ x = $48
Therefore;
[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex](b) The amount Myra spends to buy books = $60
The cost of each book = $·(x + 2)
The number of books Myra buys = The number of books Gaya buys - 4
We have;
[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]
Which gives;
[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]
Using a graphing calculator, we get;
[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]
4·x² - 20·x - 96 = 60·x
Which gives;
4·x² + 40·x - 60·x - 96 = 0
4·x² - 20·x - 96 = 0
x² - 5·x - 24 = 0
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If complex number z = 3 Left-bracket cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) right-bracket, then complete the statements for z4.
The modulus of z4 would be
The coefficient in front of the argument (or angle) of z4 would be
ANSWER: 81
ANSWER: 4
Answer:
b
Step-by-step explanation:
Answer:a81
b4
Step-by-step explanation:
I paid $15.48 for 12 songs on iTunes. How much did 1 song cost?
Answer:
$1.29
u divide 15.48 by 12. trust
what is the domain of the relation shown
a big beach towel has a width that is 3 feet less than its length. Of the towels area is 28 feet, what is its length
Answer:
the answer is 9.333
Step-by-step explanation:
because if the towel of the width that is 3 feet less so you do 28/3=9.333
Answer:
length = 7 ft
Width = 4 ft
Step-by-step explanation:
length = l
Width = l -3
Area = 28 sq.ft
length *width = 28
l*(l-3) = 28
l*l - l*3 = 28
l² - 3l - 28 =0
l² - 7l + 4l - 28 = 0
l(l - 7) + 4(l - 7) = 0
(l -7) (l + 4) =
l -7 = 0 {Ignore l + 4 = 0 as , it gives a negative value}
l = 7 ft
width = 7 - 3= 4
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Answer:
0.4*0.5=0.2
Step-by-step explanation:
each shaded area is 10 by something, so we can assume this model is representing decimals
the other sides are 4 and 5, and it is in 10, so it is 0.4*0.5
0.4*0.5=0.2
The students in Tisha's grade voted to select a guest speaker. 75% of the students voted for a famous athlete. If there are 52 students in Tisha's grade, how many students voted for the athlete?
Answer:
39
Step-by-step explanation:
75% of 52 is 39
Hope this helps!
Find the measure of angle y.
A) 19
B) 22
C) 41
D) 120
Answer:
19
Step-by-step explanation:
because it alternate with A
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.
A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept: 5 - (-2)(-4) = -3
Help plz! i am in 7th grade, but I am doing 9th grade math and i need help. I missed one day of school and i am behind. what is a residual?!?
Answer:
residual is a quantity remaining after other things have been subtracted.
Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.
Step-by-step explanation:
Time(h)
Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12
Answer:
y = 12x + 2
Step-by-step explanation:
To know:
[] These equations are in y = mx + b form
() Also known as slope-intercept form
() m is the slope
() b is the y-intercept
Now, let's solve
[] Slope / m
() Slope is "change in y over change in x," let hours be our x and distance by our y
() [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]
[] Y-intercept / b
() We will plug in a set of points into our current equation, then solve for b
() y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b
Last, we will find our answer
Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2
Have a nice day! - table I made is attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
if a system of linear equations has infinitely many solutions
Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?
Answer:
$21.00
Step 1- Solve 40% of $15.00
=$6.00
Step 2- Add the 40% to the discount amount
=$6.00+$15.00=$21.00
Which of the following numbers is closest to 9? O A. v79 O B. 778 O c. 783 O D. 782
Answer:
v79
Step-by-step explanation:
v79-9that is 10 the closest
The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft.
Answer:
20400RS
Step-by-step explanation:
Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls
= 2* 15+2*5*12
= 150+120=170ft.
Rate is 120/ sq*ft here rate
= 120*170
= 20400RS
Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?
Answer:
12 shirts
Step-by-step explanation:
I used the method keep, change, flip (KCF) to divide fractions and solve this problem.
This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.
so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.
that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts
Solve the inequality and enter your solution as an inequality.
X-4<6
Answer:
x < 10
Step-by-step explanation:
Given: x -4 < 6
Add four to both sides: x < 10
Have a nice day!
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- Heather
can somebody please help me
Answer:
The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]
Make x the subject of the formula x + t = q
Answer:
x = t - q
Step-by-step explanation:
because to make q, you need to add x and t
so to make x the subject, you should subtract q
Example
x + t = q
t = 7
q = 36
x = t - q
36 -7 = 29
x = 29
Write a recursive formula and an explicit formula for the following arithmetic sequence.
4.25, 4.75, 5.25, 5.75, ...
A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)
Answer:
D
Step-by-step explanation:
First find the slope.
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]
Point slope form:
y - y1 = m(x -x1)
y -[-9] = 2 (x - [-3])
y +9 = 2 (x + 3)
Please help...........
Answer:
4
Step-by-step explanation:
your answer is 4 because
2*4 = 8
5*4 = 20
7*4 = 28
8*4 = 33
In quadrilateral ABDC, AB // CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? overline AB cong overline CD O overline AC cong overline BD OAB overline AB perp overline BD; overline CD perp overline BD
Answer:
AC is parallel to BD
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides.
A lifetime subscription to a website cost $250. A monthly subscription to the website cost $10 to join and $15 per month, write an equation in slope-intercept form to represent the cost of each plan
Answer:
250=15x+10
Step-by-step explanation:
250=y
10=b
15 is how much you are paying consantly
The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.
If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,
y=mx+c
250=15x+10
Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.
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a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation: