Answer:
[tex]f(x)=x^2-11x+30[/tex]
Step-by-step explanation:
The factored form of a quadratic is given by:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the zeros, and a is the leading coefficient.
The quadratic relation has zeros of 5 and 6, and it has a y-intercept of 30.
Since the zeros are 5 and 6, p and q are 5 and 6. Thus:
[tex]f(x)=a(x-5)(x-6)[/tex]
The y-intercept is 30. In other words, when x = 0, f(x) = 30:
[tex]30=a(0-5)(0-6)[/tex]
Solve for a:
[tex]30=a(-5)(-6)\Rightarrow 30=30a\Rightarrow a=1[/tex]
Therefore, our quadratic in factored form is:
[tex]f(x)=(x-5)(x-6)[/tex]
To find the standard form, expand:
[tex]\begin{aligned} f(x)&=(x-5)(x-6)\\&= (x-5)x+(x-5)(-6)\\&=(x^2-5x)+(-6x+30)\\&=x^2-11x+30\end{aligned}[/tex]
Someone pls help tysm if you do!! Im new to this :D
Answer:
the answer is -29
Step-by-step explanation:
Hope this helps have a good rest of your day :)
Answer:
I think its -15
Step-by-step explanation:
you take -7 and add it to -22 but since it's a negative + a negative it should equal a positive so you just normally subtract -7 from -22 and get -15
If the cos A= 9/41 , what does the tan A equal?
Answer:
tanA = 40/9
Step-by-step explanation:
Try to construct a right-angled triangle with it's adjacent side=9 and hypotenuse = 41,
By pyth. theorem, we can get the remaining side (opposite side)
= √(41^2 - 9^2)
= 40
tanA = oppside side/ adjacent side
tanA = 40/9
The class decides to make chocolate chip cookies for Mr. Burn’s first day of school in September. Each student needs 3⁄4 of a stick of butter for the recipe. If 14 students want to make cookies, how many sticks of butter do they need to buy?
Answer:
10 1/2 sticks, or 11 sticks with half a stick left over.
Step-by-step explanation:
If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2
A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
Learn more about displacement here: https://brainly.com/question/2109763
#SPJ2
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
Find the 10 th term of the following geometric sequence. 1,5, 25, 125, ...
Answer:
1953125
Step-by-step explanation:
5: 625
6: 3125
7: 15625
8: 78125
9: 390625
10: 1953125
Sequence
×5
plsss help i’ll give brainliest if you give a correct answer
Answer:
1800
Step-by-step explanation:
Maria's kite tail was 3 1/2 feet long. Max's kite tail was 2 1/4 feet long. How much shorts was max's kite tail in inches?
Answer: [tex]\frac{5}{4}\ ft[/tex]
Step-by-step explanation:
Given
Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long
Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long
Converting it to a fraction
Maria kite tail
[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]
Max's kite tail
[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]
Difference between lengths
[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]
Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail
solve for X. -x/3 = 2
Step-by-step explanation:
[tex] \frac{ - x}{3 } = 2 \\ - x = 3 \times 2 \\ - x = 6 \\ x = - 6[/tex]
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
Write the equation of the line that is parallel to y-axis and passing through the point (3,-5)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:
[tex]x=d[/tex] where d is the x-intercept, or the value of x when the line crosses the x-axis
We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.
[tex]x=3[/tex]
I hope this helps!
if the cost 6 books is Rs.720. find the cost of 9 books.
Answer:
Rs.1080
Step-by-step explanation:
1 book=720/6=120
9 books=120*9=1080
1. All numbers in scientific notation must be a number between _1__ and __10__ multiplied by a power of ____.
Pleaseeeeeeeeee help me i don't know this :'(
I will give you extra points if u get it rights <3
Answer:
All numbers in scientific notation must be a number between 1 and 10 multiplied by a power of 10.
Step-by-step explanation:
Hope this helps, reach out to me if you have any more questions!
Please help me! I need this answered fast!
Answer:
1. I think it's A.
2. I think it's D
y= -2x – 6
2x + y = 5
Answer:
No solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -2x - 6
2x + y = 5
Step 2: Solve for x
Substitution
Substitute in y: 2x + (-2x - 6) = 5Combine like terms: -6 ≠ 5Here we see that -6 does not equal 5.
∴ the systems of equations has no solution.
Las abejas tienen que hacer 50.000 salidas para obtener 1 quilogramo de miel. ¿Cuántas salidas tendrá que hacer para obtener 5 quilogramos de miel?
Answer:
Tendrá que hacer 250.000 salidas para obtener 5 kilogramos de miel.
Step-by-step explanation:
Con la información proporcionada, puedes usar una regla de tres para calcular cuántas salidas tendrá que hacer para obtener 5 kilogramos de miel dado que las abejas tienen que hacer 50.000 salidas para obtener 1 kilogramo de miel:
1 kilogramo → 50.000 salidas
5 kilogramos → x
x=(5*50.000)/1
x=250.000
De acuerdo a esto, la respuesta es que tendrá que hacer 250.000 salidas para obtener 5 kilogramos de miel.
What is the measure of angle 1?
VX
920
2
0869
0889
o 90°
92
Mark this and retum
Save and Exit
Next
Sub
The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?
Answer:
8 percent
Step-by-step explanation:
2.4/30 = 0.08 or 8%
Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
How can I solve x? I don't know if I should be looking for an angle or where to begin.
Answer:
ik this wont help much but I forgot the name of the topic but search it up and search up the formula which is what you are supposes to do by using that formula
currently rahel and her mother are 14 and 40 years old respectly in how many years time will the mother be twice as old as her daughter ?
Answer:
when the daughter is 26 and the mom is 52
Step-by-step explanation:
Her mom had rachel when she was 26 and since rachel isnt 26 and her moms past thw age of 26 the first rwo multiples of 26 are the answers whic is 26 and 52.
Round 8.7719% to the nearest tenth of a percent
Answer:
8.8%
Step-by-step explanation:
Answer:
8.8
Step-by-step explanation:
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]
simplify
please help me!!!!
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin
How to see the other 3 screenshots click the 3 mini squares
Answer:
click the squares its easy and simple
25 POINTS HELP NOWW
a curcle has a diameter of 14. What is the circumference of the circles exact value?
Answer:
i dont know math stinks
Step-by-step explanation:
Answer:
I guess the answers in the photo?
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
x/7=1/4
please help will give brainlest
Answer:
x=7/4
Step-by-step explanation:
cross multiply and divide both sides
Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.
1. f and g open in the same direction.
2. f and g intersect twice.
3. f and g have the same axis of symmetry.
4. f and g have the same vertex.
5. g is wider than f.
Answer:
Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!