Answer:
x=3 x = -1
Step-by-step explanation:
f(x) = x^2 − 2x − 3
Set the function equal to zero
0 = x^2 − 2x − 3
Factor
What two numbers multiply to -3 and add to -2
-3 *1 = -3
-3+1 = -2
0 = (x-3)(x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x = -1
At a carnival, there are 30 children and 18 adults.
What fraction shows the ratio of children to the total number of people at the carnival
PLZ HELP
How many significant figures are in 0.0624000?
Answer:
Use notes and youll get an answer
Step-by-step explanation:
Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income
Answer:
3750$
Step-by-step explanation:
Let x be the amount in dollars of sales:
125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)
0.02x = 75
x = 3750
Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division
Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/tex]
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
Answer:
Step-by-step explanation:
principal=rs 9450
time=5 years
rate=6%
Interest=PTR/100
=9450*5*6/100
=283500/100
=rs 2835
Total amount=Interest+principal
=rs 2835+rs 9450
=rs12285
please help thanks a lot for your help
Answer:
7.48
Step-by-step explanation:
[tex]9^{2} = 5^{2} + x^{2} \\81 = 25 + x^{2} \\x^{2} = 81-25= 56\\x = \sqrt{56} = 2\sqrt{14} =7.48\\[/tex]
Help please I need help
Answer:
The range is 8.
Step-by-step explanation:
The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.
9 - 1 = 8
Have a nice day!
and tell me if I am wrong.
Can a triangle have two 30° angles? two 60° angles? two 90° angles? Explain.
Answer:
Step-by-step explanation:
Two 30 - yes, 180 - 30 - 30 = 120. It is possible for 2 angles to be 30, the remaining angle would also be 120
Two 60 - yes, 180 - 60 - 60 = 60. It is possible for 2 angles to be 60, the remaining angle would also be 60
Two 90 - Not possible. The entire angles of a triangle have to equal 180, this would mean only 2 angles.
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
PLS HELP ASAP
Answer:
k=0.12d
Step-by-step explanation:
Quick plz help this is from Khan ( 40,90,X)
Answer:
Hello! answer: 45 degrees
Step-by-step explanation:
90 - 45 = 45 therefore x = 45 hope that helps!
Answer:
90 minus 45 equals 45 so x is 45 :)
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. what linear eqution?
i will give brainliest
Answer:
A) 7p^5q^4
Step-by-step explanation:
to get 5pq² to equal 35p^6q^6 you must multiply by:
7p^5q^4 because you must add the exponents
For the drawing, provide the missing lengths. x= hypotenuse y= leg
Answer:
Step-by-step explanation:
for hypotenuse
take 30 degree as reference angle
using sin rule
sin 30=opposite /hypotenuse
1/2=5/hypotenuse
10=hypotenuse
for base
using pythagors theorem
H^2=P^2+B^2
10^2=P^2+5^2
100-25=P^2
[tex]\sqrt{75}[/tex]=P
5[tex]\sqrt{3}[/tex]=P
Anyone know this?I need help
Answer:
One of the legs is missing; the leg missing is 16 inches long
Step-by-step explanation:
Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).
20² - 12² = x²
400 - 144 = x
400 - 144 = 256
√256 = 16
Josh lit a 14 in candle. She noticed that it wad getting an inch shorter every 30 minutes. Write an equation in y=mx+b form to medel this situation. Let x be the number of hours and y be the total height of the candle
Answer:
y = -1/30x + 14
Step-by-step explanation:
Height (changing by -1) is the dependent variable, therefore is represented by y
Time (changing by +30) is the independent variable, therefore is represented by x
14 = where we started from
Slope = Change in y / Change in x
Slope = -1/30x
Equation = -1/30x + 14
Hope this helps!
Look at the graph below.
Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)
Answer:
B. (5, 3)Step-by-step explanation:
Given points:
(3, 5), (5, 8), (9, 7)The graph should have a same x-value with a different y-value.
From the list we have only point (5, 3) which makes this a non-functional relationship.
Correct choice is B
Points here are
(3,5)(5,8)(9,7)As per definition of function
Every domain has a unique rangeCheck option B
If we put than
The. f(5) would have 2 values 8 and 3
Which won't be a function
What is the measure of o?
4 cm
e
12 cm
O A. 4 radians
O B. 3s radians
O c. 3 radians
O D. 4radians
plss helppp
==============================================
Work Shown:
L = arc length = 12 cmtheta = angle in radians = unknownr = radius = 4 cmL = theta*r
12 = theta*4
12/4 = theta
3 = theta
theta = 3 radians, choice C is the answer.
--------
Side note: The formula L = theta*r only works if theta is in radians.
If theta is in degrees, then use L = (theta/360)*2pi*r. So you can see that radian mode is much easier in this case.
8
Veronica is trying to prove 4ABC = ADEF.
B
E
A A
F
с
A А
D
Which statement would not help to prove the two
triangles congruent?
O A. ZC = ZF
O B. BC = EF
C. ZA ZD
. E
OD. DE = AB
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC = \triangle DE F[/tex]
Required
Which would not prove the similarity
[tex]\triangle ABC = \triangle DE F[/tex] implies that:
The following angles are congruent
[tex]\angle A = \angle D[/tex]
[tex]\angle B =\angle E[/tex]
[tex]\angle C =\angle F[/tex]
And the following lengths are congruent
[tex]AB = DE[/tex]
[tex]BC =EF[/tex]
[tex]CA = FD[/tex]
The options are not clear; so, it's a bit difficult to select the correct option.
Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.
which ones out of the three are no solution?
1. 10 + 6x = 15 + 9x – 3x
2. 11 + 3x – 7 = 6x + 5 – 3x
3. 11 + 3x – 7 = 6x + 5 – 3x
Answer: I'm going to say 3
Step-by-step explanation:
Alexey wrote '1*2*3*... 9 = 21' on the board, inserting a plus or minus signs in place of each little star. Sasha changed some of these signs to their opposites so that the result he got was 20. Prove that one of the boys made a mistake.
Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?
Answer:
Step-by-step explanation:
Given: 39 = 0.01n
Move the decimal point on each side two places to the right: 3900 = n
Suppose that the width of a rectangular garden is (6 − 2√3) ft. And the length of the garden is (3 + √3) ft. (a) Find the area of the garden in simplest radical form. (2 points)
Answer:
A = 12 feet²
Step-by-step explanation:
Given that,
The width of a rectangular garden is (6 − 2√3) ft.
The length of the garden is (3 + √3) ft.
We need to find the area of the garden. The area of a rectangle is given by :
A = lb
Put all the values,
A = (6 − 2√3)(3 + √3)
A = 12 feet²
So, the area of the garden is equal to 12 feet².
Question 9 The spinner pictured is spun 100 times and lands in sector A 40 times. What is the experimental probability of the spinner landing on the sector labeled A? NEED ANSWER ASAP FOR A TEST
BRIANLIST ANSWER!! Please help on this one question ( if you’re good at this) thanks :))
Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
PLEASSE HELP MEEE!!!!!!1
Answer:
2 cuts
Step-by-step explanation:
Get the height of the tree first
Using SOH CAH TOA identity;
Sin theta = opp/hyp
Sin 70 = /6
H = 6sin70
H = 6(0.9397)
H = 5.6381
Hence the height of the tree is 5.64m
Initial cut = 4m
Remaining height of trunk = 5.64 - 4 = 1.64
This means that he only need to make 2 cuts to cart the whole tree away
four friends contributed the sum of money to a charitable organization in the ratio 1:3:5:7. if the largest amount contrebuted is birr 35. calculate the total amount contributed by the four people
9514 1404 393
Answer:
birr 80
Step-by-step explanation:
The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...
16/7 × (birr 35) = birr 80
How many distinct "pieces" are in this graph?
Answer:
2
Step-by-step explanation:
the first point and where the line turns
10V
c
8
A'
B
6
D
с
4
2
А
В B.
х
o
2.
4
6
8
10
Fine the scale factor of the dilation.
Answer:
either 2 or 1/2, depending on what the original shape was
Step-by-step explanation:
going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.
going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.
A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees