Answer:
3,4.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The function is:
[tex]g(x) = \frac{x^2+4x-5}{x^2-7x+12}[/tex]
In a fraction, the values not in domain are the values for which the denominator is 0.
Find all values of that are NOT in the domain of g.
It will not be in domain if the denominator is 0. So
[tex]x^2 - 7x + 12 = 0[/tex]
That is, a quadratic equation with [tex]a = 1, b = -7, c = 12[/tex]
[tex]\Delta = (-7)^{2} - 4(1)(12) = 49 - 48 = 1[/tex]
[tex]x_{1} = \frac{-(-7) + \sqrt{1}}{2(1)} = 4[/tex]
[tex]x_{2} = \frac{-(7) - \sqrt{1}}{2(1)} = 3[/tex]
The values are 3 and 4, so the answer is 3,4.
Find the circumference of a circle with a radius of 9 meters. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:56.52
Step-by-step explanation:
circumference = π*d
d=2r
d=2*9
d=18
3.14*18=56.52
Answer:
C =2ΠR
=2 x (3.14)( 9)
=56.52meters
SOMEONE HELP ME PLEASE
Answer:
First option, [tex]\frac{-2y+5x}{3x-2y}[/tex]
Step-by-step explanation:
Simplify the fraction. To make the process of solving easier, we can multiply both the numerator and denominator by x and y to get rid of the fractions as seen below. This is because the variables in the denominators of the fractions will cancel out with either the matching x or y in the numerators.
[tex]\frac{\frac{-2}{x} +\frac{5}{y} }{\frac{3}{y}-\frac{2}{x} } \\=\frac{(\frac{-2}{x} +\frac{5}{y})xy }{(\frac{3}{y}-\frac{2}{x})xy }\\=\frac{-2y+5x}{3x-2y}[/tex]
Thus, the first option is correct.
The area of the quadrilateral is:
(a) 10 cm²
(b) 5 cm²
(c) 20 cm²
(d) 15 cm²
Answer: its a 10cm power 2
Step-by-step explanation:
(3,-6) and (-2,-4)
Find the slope
Answer:
m=-2/5
Step-by-step explanation:
m=y2-y1/x2-x1
m=-4-(-6)/-2-3
m=-4+6/-5
m=-2/5
Answer:
Hey mate!
Pls refer to the image attached below for ur answer.....
Hope it helps!
Mark me brainliest plss...
FOLLOW ME! :)
Need help quick!
The acceleration of an object varies directly as the force acting on it. If a force of 240 Newtons causes an acceleration of 150 m/s squared, what force will cause an acceleration of 100 m/s squared?
Answer:
The acceleration of an object varies directly as the force acting on it. If a force of 240 newtons causes an acceleration of 150 m/s², what force will cause an acceleration of 100 m/s?? 2. The stretch in a loaded spring varies directly as the load it supports.
Answer:
160 Newtons
Step-by-step explanation:
240÷150= 1.6. 100x1.6 gives us the answer which is 160 Newtons for 100m/s. For every 1.6 newtons,1 m/s is gained.
will be appreciated if someone helps! 15 points, plus I will mark brainlest. c:
9. Nigel lives 1.06 × 106 feet away from his
grandmother. There are approximately
5.3 × 103 feet in a mile. Which of the
following could represent how many miles are
between Nigel’s home and his grandmother’s
home? Circle all that apply.
A. 2,000 miles
B. 200 miles
C. 2 × 103 miles
D. 5 miles
E. 5.618 × 109 miles
F. 2 × 102 miles
Answer:
I believe it is B and F. Correct me if I'm wrong.
Step-by-step explanation:
If you need help, Khan academy is a great place!
A scale drawing shows a circular fountain with a diameter of 12 units. The actual fountain has a diameter of 60 feet. Select all the possible scales that could be used for the drawing.
Answer:i think its 70 if im wrong im very sorry
Step-by-step explanation:
Help me in this question please
Answer:
m<5= m<3
m<11= m<14
m<16= m<9
Might someone please help me?
I will only give Brainlest if you also explain how you got the answer :)
Help please!!! Mark brainliest Does this system of equations have a solution?
Answer:
Yes, eventually
Step-by-step explanation:
The lines do not intersect while in the target range, though they will eventually intersect.
13
A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your
answer to the nearest tenth of a foot.
A 13.4 feet
B
14.6 feet
16.5 feet
D 18.0 feet
Answer: A 13.4
Step-by-step
a^2 + b^2= c^2 4^2 + b^2 = 14^2 16+ b^2= 195 b^2= 180 b= square root of 180 b= 6 square root of 5 or 13.42
Which function is equivalent to h(x) = 16x^2- 24x+9?
a. h(x) =(4x-3)^2
b. h(x)=(8x+9)^2
c. h(x) = (4x+3) ^2
d. h(x) =(8x-9)^2
need help asap!
Answer:
a...........................I'm sure
help meeee ASAP
For one English test, Mary had 15 questions correct. She received a 72% on her test.
How many questions were on the test?
Answer: 21 questions
Step-by-step explanation:
Turn it into a number sentence.
72% of x amount of questions is 15
0.72(x) = 15. Divide both sides by 0.72
x= 20.83333 round to nearest whole number
x= 21 questions
At a meeting of 10 executives
(7 women and 3 men), two door prizes are awarded. Find the probability that both prizes are won by men.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
I guessed hehehegshsbsbs
Plzzz help Y=-5x+21 I really need help and can you show the steps too?
Answer:
x = 3
Step-by-step explanation:
use the substitution method
since y = 6 fill in 6 for y in y = -5x + 21
6 = -5x + 21
subtract 21 from both sides
-15 = -5x
divide each side by -5
3 = x
hope this helps :)
Sandra bought a new coat for $49.99 and 3 skirts for $24.99 each. If the sales tax rate is 7%, to
the nearest cent what is the amount of sales tax Sandra will owe on the purchase?
Answer:
Answer:
$133.71
Step-by-step explanation:
49.99 + 3(24.99)
49.99 + 74.97
124.96 (1.07) <----- sales tax
about 133.71
Step-by-step explanation:
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. 3/4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? (no decimals)
Answer:Weight of wood part of the sculpture (no decimals) =4kg
Step-by-step explanation:
Weight of sculpture containing metal and wood = 14.9 kg
weight of metal =3/4 x 14.9 kg =11.175kg
weight of wood =Entire sculpture − weight of metal
= 14.9 kg−11.175kg
=3.725kg
Rounding up to remove decimals we have that Weight of wood part =4kg
It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 12 lbs of walnuts? Enter the numeric value only, no symbols.
Answer:
$55.20
Step-by-step explanation:
Create a proportion where x is the cost of 12 lbs of walnuts:
[tex]\frac{3.45}{0.75}[/tex] = [tex]\frac{x}{12}[/tex]
Cross multiply and solve for x:
0.75x = 41.4
x = 55.2
So, for 12 lbs of walnuts, it will cost $55.20
SOMEONE HELP ME plzz
Answer:
B? I believe? sorry if it's wrong
PLEASE HURRY WILL GIVE BRAINLIEST The greatest common factor of each term in the expression 20x -16xy is 4x. Which choice shows expression written as a product?PLEASE HURRY WILL GIVE BRAINLIEST
Answer:
it is the second one:
4x(5-4y)
Help me please, will give extra 100 points and brainliest to whoever answers correctly. PLEASEEEEEEEEEEE
A square pyramid has a base edge of 15 inches. The volume of the pyramid is 960 cubic inches. What is the height of the pyramid, in inches?
Answer: h=12.8in
a Base edge 15 in
V Volume 960 in³
Using the formula
V=a2h
3
Solving for h
h=3V
a2=3·960
152=12.8in
Step-by-step explanation:
Jackson has a table with a square top and he wants to buy a circular piece of lace that will cover the entire top of the table. The top of the table has side lengths
of 12 inches, as shown. help?
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could buy? Round your answer to the nearest tenth
Answer:
226.2
Step-by-step explanation:
I took the test. I hope this helps! :)
The area of the circular lace is required.
The smallest circular piece of lace to cover the entire top of the table is 226.2 inches².
Area of circleLength of each side of square = 12 inches
The diameter of the circle will be the length of the diagonal of the square from the given figure.
[tex]d=\sqrt{12^2+12^2}\\\Rightarrow d=12\sqrt{2}\ \text{in}[/tex]
Area of a circle is given by
[tex]A=\pi\dfrac{d^2}{4}\\\Rightarrow A=\pi \dfrac{(12\sqrt{2})^2}{4}\\\Rightarrow A=226.194\approx 226.2\ \text{in}^2[/tex]
Learn more about area of circle:
https://brainly.com/question/12269818
Keira Anne is 2 years more than twice the age of Mary Jane. The sum of their ages is 17. How old is each girl?
Answer:
Mary Jane is 5 yrs and Keira Anne is 12 yrs
Step-by-step explanation:
Mary Jane 5
Keira 5+5=10+2=12
So Mary jane 5 + Keira 12 (5+12=17)
At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.
Answer:
The total bill is $53.69 I believe. If you want, you can check your answer by using the steps I provided.
Step-by-step explanation:
1. First, you multiply 18 and 45.50 to get 819.
2. Next, you move the decimal two places to the left to get 8.19
3. Finally, you add the tip ($8.19) on the amount of the food to get our answer ($53.69)
Rhonda has 3/4 of her book left to
read. If she reads another 1/4 of the
book, then how much will she have left
to read.
Answer:
none. she will be finished.
Step-by-step explanation:
3/4 + 1/4 =1
what is
1/2 times 1/8
Answer:
the answer is 1/16
PLLLLLLS HELP!! 48 Points!!!
(06.06) A rectangle with width of 3. There is a vertical line that splits rectangle into two sections with different lengths. One length is x the other is 4. 3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? 3x+12 (3 + x) + 4 (x + 4) ⋅ 3 3x + 4
Answer:
3x+12
Step-by-step explanation:
I took the quiz
AA, SAS, SSS or not similar ?