The possible functions are
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
How to determine the possible equations?The zeros are given as:
x = -7 and x = 3
Rewrite as:
x +7 = 0 and x - 3 = 0
Multiply both zeros
(x + 7) * (x - 3) = 0 * 0
Evaluate the product
x^2 + 7x - 3x - 21 = 0
Evaluate the like terms
x^2 + 4x - 21 = 0
Express as a function
f(x) = a(x^2 + 4x - 21)
Where a is a constant
Let a = 1, 2 and 5 (according to the values in the options)
f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)
f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)
f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)
Hence, the possible functions are (a), (b) and (c)
Read more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ1
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
formula 3.35 times something
Which of the following is a true statement about perpendicular lines?
A.
Perpendicular lines intersect to form a 45° angle.
B.
Perpendicular lines intersect at exactly one point.
C.
Perpendicular lines can also be parallel lines.
D.
Perpendicular lines intersect in at least two points.
Answer:
B.
Step-by-step explanation:
Perpendicular lines intersect at exactly one point.
(perpendicular lines form an x with right angles)
The weight of 4 eggs is shown. Identify the constant of proportionality of total weight to number of
eggs.
The weight of 4 eggs is 188 g
Answer:
47g
Step-by-step explanation:
HELP FOR TEST PLZ
find measure of angle 1
Answer:
the answer should be 98
Step-by-step explanation:
try it
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
Rotate 90° clockwise about the origin
E = (-3, 3)
F = (-2, -1)
D = (-2, 3)
C = (-1, 4)
Answer:
e
Step-by-step explanation:
hii please help asap ill give brainliest thanks
Answer: B) established a strong, central government
Answer:
The emperor Chandragupta is established a strong, centralized government
Which statement is true?
Question 19 options:
A)
|–3| = 3 and –|–4| = –4
B)
|–3| = 3 and –|4| = 4
C)
–|3| = 3 and |4| = 4
D)
|–3| = 3 and |–4| = –4
Answer:
the first one is true and not sure 100% that the others are false all
Find the output y when the input x is -4
y=?
PLZ HELP
1. A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a
mass of 600 g. Determine the density of the block to the nearest unit.
8.9
Answer:
20 gcm^3
Step-by-step explanation:
Density = mass / volume
Volume = 3 X 2 X 25 = 30 cm
600 / 30 = 20
not 100 % sure though
Plz help me. Giving branliest
Answer: im not sure about this but I’ll try
24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles
Step-by-step explanation:
A teacher is interested in students' opinions about an upcoming school dance. Which of the following techniques
uses systematic random sampling?
Survey the first 10 students who arrive.
Survey every 10th classroom as the teacher walks down the hallway.
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every 12th
student after that
O Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every other
boy and every other girl after that.
Answer:
think its c but not sure
Step-by-step explanation:
because it repeats its self to get i sample
Answer and Step-by-step explanation: yes it's C i got it right so did the person above me
what would be the most appropriate domain for the functions
Answer:
Plz subscribe my Gaming channel Sameer Duos
Step-by-step explanation:
The correct answer is whole number
The following are the last 10 run scores Colin got in cricket:
18, 9, 7, 35, 30, 21, 33, 12, 30, 31
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 27 runs.
What is his new mean score?
Give your answers as decimals.
Answer:
a) 22.6
b) 23
Step-by-step explanation:
a)
Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226
Step 2: 226/10 = 22.6
b)
Step 1: 226+27 = 253
Step 2: 253/11 = 23
Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches
Answer:
Yes, it makes a triangle.
Step-by-step explanation:
When I used a measuring stick, it does create a triangle.
Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear
A. K=-3
B. K=1/3
C. K=1/2
D. K=2
E. K=3
F. K=-1/3
Given:
The three points are W(0,-2), I(2,0) and L(5,k).
To find:
The value of k for which the given points are collinear.
Solution:
We know that, three points are collinear if the area of the triangle formed by these three points is 0.
[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]
[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]
The three points are W(0,-2), I(2,0) and L(5,k). So,
[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]
[tex]0+2(k+2)+5(-2)=0[/tex]
[tex]2k+4-10=0[/tex]
[tex]2k-6=0[/tex]
Adding 6 on both sides, we get
[tex]2k=6[/tex]
[tex]k=\dfrac{6}{2}[/tex]
[tex]k=3[/tex]
Therefore, the correct option is E.
I need help with this question pls
Answer: the third one
Step-by-step explanation:
y=2x+3 y=4x+7 solve by elimination
Answer:
[tex]\displaystyle [-2, -1][/tex]
Step-by-step explanation:
To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :
[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]
I am joyous to assist you at any time.
Can anyone help? PLS I NEED THIS BY TOMORROW!!
Answer:5 or 5 degrees
Step-by-step explanation:
the box means 90 degree so if you divide 45 with 90 you get 2
2 divided by 10 = 5
Answer:
x = y = 10
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 10
Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then
x = y = 10
Find the mean of the following numbers: 17, 17, 15, 16, 18
Answer:
Mean: 16.6 | Median: 17 | Mode: 17
Step-by-step explanation:
Find the value of x.
Answer: x=133
Step-by-step explanation:
This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).
You first add up all your side:
150+130+97+120+90 +x = 587 + x
587+x = 720
x=133
The volume of a cube is 365cm3.
Work out the length of its side rounded to 1 DP.
Answer:
12.4
Step-by-step explanation:
rounded to 1dp
please mark as brainliest if correct
thank you
Answer:
12.4 is the answer.
Step-by-step explanation:
#CarryOnLearningIn Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.
Answer:52.1
Step-by-step explanation:
adj/hyp= x/57
cos 24=x/57
57 cos 24=x
x=52.0721= 52.1 FT
Which expression is equivalent to left parenthesis 5 to the power of negative 2 end exponent right parenthesis to the power of 5 space x space 5 to the power of 4 ?
Answer:
[tex]\frac{1}{5^6}[/tex]
Step-by-step explanation:
Given the expression (5⁻²)⁵ ₓ 5⁴
According to indices
(a^m)^n = a^{mn}
(5⁻²)⁵ = (5⁻¹⁰)
(5⁻²)⁵ ₓ 5⁴
= 5⁻¹⁰ ₓ 5⁴
= 5⁻¹⁰⁺⁴
= 5⁻⁶
Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]
Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?
Answer:
$81.6
Step-by-step explanation:
(1,360.00)(6%)=81.6
A carpet costs $5 per square meter
and underlay costs $3 per square
meter. A bedroom measures 7m by
8m. How much will it cost to carpet
and underlay the entire room?
Y’all help me
Answer:
448
Step-by-step explanation:
1cm 8cm 4cm: surface area
Answer:
Perimeter of Triangle sum of all sides.
=13 cm
Answer:
heres ur answer good luck
https://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cube.aspx
Step-by-step explanation:
(135). I buy 7 CDs costing £5.99. How much change do I get from £50?
Answer:
8.07, excluding taxes.
Step-by-step explanation:
7x5.99 = 41.93
50-41.93 = 8.07
While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
