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]
URGENT!
I need to find the slope of the numbers shown in the table!
X-Y
0-0
2-1.2
4-2.4
6-3.6
8-4.8
Answer:
hold up just give me a sec
Step-by-step explanation:
it's Slope=y2-y1/x2-x1
Slope=1.2-0/2-0
Slope= 0.6
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Answer:
3 cars and 4 buses
Step-by-step explanation:
Let x = cars
Let y = buses
7 vehicles
x + y = 7
cars hold 5 students and each bus holds 45 students
5x + 45y = 195
Solve using subbstitution
x + y = 7
x = 7 - y
5x + 45y = 195
5(7 - y) + 45y = 195
35 - 5y + 45y = 195
35 + 40y = 195
-35 -35
40y = 160
y = 4 (buses)
x + y = 7
x + 4 = 7
x = 3 (cars)
Suppose your budget for an office luncheon allows you to spend no more than $ 150 on Sandwiches and Salads . Sandwiches cost $4 each and Salads costs $ 7 each. Write and graph an inequality to model the scenario .
What number is the divisor in the division problem below? 36 = 4= 9
A. 9
B. 36
C. 4
Solve the equation 2x2 – 13x + 7 = x2 to the nearest tenth.
A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make with the wheelbarrow?
Answer:
28.9
Step-by-step explanation:
2782 divied by 96 gives you 28.9.
For the past 10 days, a city planner has counted the number of northbound cars that pass through a particular intersection. During that time, 200 or more cars were counted 9 out of 10 days.
What is the experimental probability that there will be 200 or more northbound cars passing through the intersection on the eleventh day?
Answer:there is no possiblity
Step-by-step explanation:
Which equation has a slope of 3?
y=3y is equal to 3
y=3−xy is equal to 3 minus x
y=3x−1y is equal to 3 x minus 1
y=x+3
Answer:
the third one
Step-by-step explanation:
slope intercept form is y = mx + b
where m = slope
for the third one m = 3
therefore the third one is the correct answer
Triangle DEF is similar to triangle D'E'F'.Triangle D E F is rotated about point F and is shrunk to form triangle D prime E prime F prime. Which similarity transformation could map △DEF to △D'E'F'? dilation and reflection dilation and translation rotation and dilation rotation and reflection
Answer:
The answer is "Rotation and dilation".
Step-by-step explanation:
The rotation is a spatial movement, which maintains at least one stage. The dilation of a transition affects a figure's dimensions. The center, as well as a scale factor k, are required Which meaning k determines if the expansion is an expansion or a decrease, therefore the above choice is correct because it just rotated and dilated from its original form.
Answer:
A i think
Step-by-step explanation:
Can someone help me on this question
Answer:
All real numbers such that 37.75 <or= y <or= 40
Step-by-step explanation:
This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.
i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.
Answer:
jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj
A pipe is tested during a 6-hour leak test on 600 feet of 6-inch-diameter plastic pipe with a test pressure of 150 pounds per square inch (psi). The pipes are 10 feet long. During the 6-hour test period, 8 gallons of water were added to maintain the 150 psi pressure. What is the actual leakage from this section of pipe in gallons per hour per 100 joints?
Answer:
Gil the rule of induced in a test tube videos were
Step-by-step explanation:
hddhfjfjfjjcjccjmvgkkgjfdhfjkghl gmglgkgmglgm GGG of the rule used to the cultivation the
Find the value of x in the image above
Answer:
Step-by-step explanation:
5. find M<C congruent triangles
Answer:
x = 18 / M<C = 114
Step-by-step explanation:
9x - 24 = (2x - 12) + (4x + 42)
9x - 24 = 6x + 30
+24 +24
9x = 6x + 54
-6x -6x
3x = 54
/3 /3
x = 18
C = (4x + 42) = 4(18) + 42 = 72 + 42 = 114
Divide: 407:10
Guys I need help I don’t know how to do divide SOMEONE HELP ME QUICKLY!!!
Answer:
40
7 Remainder
Answer:
407/10= 40.7
Step-by-step explanation:
Write an equation of a line in slope intercept form that passes through
(8,-1) and is perpendicular to y =-4x-7 *
Answer:
Step-by-step explanation:
The measures or two angels are (5x+24°) and (9x-17°). What is the of x if these angles are congruent.
Answer:
x = 10.25°
Step-by-step explanation:
Given that :
(5x+24°) and (9x-17°)
If both angles are congruent ;
(5x+24°) =(9x-17°)
5x - 9x = - 17 - 24
-4x = - 41
x = 10.25°
Hence, the value of x = 10.25°
Plz help i have to get this finished in 10 minutes and im having trouble
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When you have a lot of similar problems to do, it can be worthwhile to let a spreadsheet or calculator do the repetitive calculations. The formula is given in your problem statement. All you have to do is put the numbers in and multiply. For total value, you add the interest to the principal.
6 months = 1/2 year
what’s the distributive property for 3(2x -1)*
Answer:
6x-3
Step-by-step explanation:
remove breceket
3×2 =6
3×-1= -3
answer is 6x-3
What is the expression?
Answer:
12(2r + 3) is the completed form.
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
Answer:
Step-by-step explanation:
-6 3/5 - (-7 4/15) + 2 1/5
Combine the first and third terms first
-6 3/5 + 2 1/5 = - 4 2/5
Now deal with the second term
- (- 7 4/15) = 7 4/15
7 4/15 - 4 2/5
7 4/15 - 4 6/15 Add 15/15 to 7 4/15 Subtract 1 from the 7
6 19/15 - 4 6/15
2 13/15
For the following rectangular prism, drag and drop the steps needed to find the volume in the correct order. Then type the volume in the last box. Not all pieces will be used.
Picture shown.
Answer:
Volume = 100 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume, V= Bh
length = 10 inches
width = 5 inches
height = 2 inches
So that,
B = 5(10)
= 50 [tex]in^{2}[/tex]
B = 50 [tex]in^{2}[/tex]
Then,
V = (50)(2)
= 100
v = 100 [tex]in^{3}[/tex]
A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a fixed cost of $44,604.00 each year, and $27,396.00 for each person employed for the year. For the next year, the company projects that labor costs will total $1,715,760.00. How many people does the company intend to employ next year?
A.
731
B.
125
C.
61
D.
31
This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid?
Answer:
6.5
Step-by-step explanation:
Answer:
6.5 centimeters (proof below!)
Step-by-step explanation:
Kelvin divides 3 pieces of paper into fourths. How many fourths does he have? Draw a picture to support your answer.
Answer:
12 fourths
Step-by-step explanation:
Draw 3 rectangles and split each of them into fourths. Count them and you'll get 12 fourths.
3 x 4 = 12
Hope this helps :D
solve for x. 150 degrees and 5x
Answer:
6
Step-by-step explanation:
150+5x=180(linear pair)
30=5x
x=6
1. Find the present value of an investment that is worth $19,513.75 after
earning 3% simple interest for 5 & 1/2 (5.5) years.
2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.
1) To get the present value, we need to get the amount after 5.5years
Amount = Principal + Interest
Interest = PRT/100
Interest = $19,513.75*3*5.5/100
Interest = 321,976.875/100
Interest = $3219.76875
Amount = $19,513.75+$3219.76875
Amount = 22,733.51875
Hence the present value is $22,733.51875
2) Simple Interest = PRT/100
Simple Interest = 5000*(4 3/4)* 18/12*100
Simple interest = 5 * 19 * 18/4*12
Simple interest = 1710/48
Simple interest =35.625
Amount = 5000 + 35.625
Amount = $5035.625
Hence the present value is $5035.625
Find the measures of angles 1,2,3,5,6,7, and 8.
Answer:
1DK
Step-by-step explanation:
If an isosceles triangle has one side that is
twice the length of its shortest side, and
its perimeter is 65 inches, what are the
measurements of its three sides?
Answer:
.
Step-by-step explanation:
What is an equation of the line that passes through the points (-4,4) and (4,6)
Answer:
y=1/4x+5
Step-by-step explanation:
1/4x is your slope you get from graphing