Answer:
x = 5, y = 15
Step-by-step explanation:
Use substitution to solve the system of equations.
We'll replace y in x + y = 20 with 3x, since y = 3x.
x + 3x = 20
Combine like terms
4x = 20
Divide by 4 on both sides
x = 5
Now to solve for y (don't forget!)
We'll plug x = 5 back into one of the original equations
y = 3(5) = 15
Check first equation:
15 = 3(5)
15 = 15
Check second equation:
5 + 15 = 20
20 = 20
Graph the function.
f(x)=-\dfrac{2}{3}(x +1)(x -5)f(x)=−
3
2
(x+1)(x−5)
Answer:
see below
Step-by-step explanation:
f(x) = -2/3 (x+1) (x-5)
First find the zeros
0 = -2/3 (x+1) (x-5)
Using the zero product property
x+1 =0 x-5=0
x= -1 x = 5
Then find the y intercept
y = -2/3 (0+1)(0-5)
- 2/3 (1)(-5)
+10/3
We know that this is a parabola that opens downward
Simplify
y=-2/3(x+1)(x-5)y=-2/3(x(x-5)+x-5)y=-2/3(x²-5x+x-5)y=-2/3(x²-4x-5)Graph attached
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.1 feet long, if the remaining piece needs to be 2.30 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
Answer:
The board should be 4.7 feet long.
Step-by-step explanation:
To find the remaining piece, you just multiply 1.1 by 2.3 which is 2.53. That's the length of the remaining piece.
Then you add all the pieces together.
1.1+1.1+2.53 =
4.73
Round and add label.
4.7 feet
I just need some help in math. This problem specifically
Answer:
∠ ABD = 37° , ∠ DBC = 58°
Step-by-step explanation:
∠ ABD + ∠ DBC = ∠ ABC , substitute values
2x + 23 + 9x - 5 = 95 , that is
11x + 18 = 95 ( subtract 18 from both sides )
11x = 77 ( divide both sides by 11 )
x = 7
Then
∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°
∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°
Step-by-step explanation:
Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .
Without simplifying, select all the expressions that will represent a rational number.
A. 4/23+3/√9
B. 4/23−4/√8
C. 4/23×3/√9
D. 4/23÷4/√8
E. 4/23×8/√3
Please help me with this question!!!!
Answer:
A. 4/23+3/√9
C. 4/23×3/√9
[tex].[/tex]
please please help me if for my homework
Answer:
89/100. Hope this helped.
Step-by-step explanation:
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!
Answer:
Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.
Step-by-step explanation:
I derped. I'm sorry. Here is the answer as an actual answer :)
Answer:
Company C
Step-by-step explanation:
Find the perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), and T(-3,-2)
The perimeter is blank units
Plz ASAP!!!
Answer: The perimeter is 16 units
Step-by-step explanation:
does this form a right triangle 8,10,6
Answer:
Yes, it does. We can check by using the Pythagorean theorem (P.t.).
P.t.: a^2 + b^2 = c^2
a = 6, b = 8, c = 10
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Brainliest, please!
Answer:
Step by step answer.
Yes
a^2 + b^2 = c^2
8^2 + 6^2 = 10^2
64 + 36 = 100
100 = 100
The Pythagorean Theorem works. C is always assumed to be the hypotenuse because it is the longest line It's position does not matter. If you did the problem like this
6^2 + 10^2 = 8^2
Of course this would not work, but it would also disobey the convention that c is the longest side.
Plsss helpppp worth 100 points + other 2 questions
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)
a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Step-by-step explanation:
5/12 divided then turned into decimal and rounded near hundredth
[tex]\\ \sf\longmapsto \dfrac{5}{12}[/tex]
[tex]\\ \sf\longmapsto 0.4166[/tex]
Round to nearest thousand[tex]\\ \sf\longmapsto 0.417[/tex]
Round to nearest hundredth[tex]\\ \sf\longmapsto 0.42[/tex]
Step-by-step explanation:
0.417 round to the nearest hundredth
What is the value of f(x) when X=-3
f(x) = 2x2 + 4x+10
A. -14
B. -8
C. 16
D. 34
Solve x4 − 4x2 − 12 = 0.
Answer:
x^2+2=0 or x^2−6=0
Step-by-step explanation:
x^4-4x^2-12=0
(x^2+2)(x^2−6)
x^2+2=0 or x^2−6=0
Answer:
x=6
Step-by-step explanation:
Hope It Help!
Thanks
a. A man sells an article at Rs. 800 and makes 3 of the selling price profit. Find his (a) cost price (b) profit percentage.
Answer:
A 1600
B 2400 hope it helps
Tyron made 60 cakes. He gave 20% of his cakes to Ana . And 1/6 of his cakes to Dora. What fraction of the 60 cakes does he have left?
Answer:
19/30
Step-by-step explanation:
Total cakes made by Tyron = 60
Cakes given to Ana = 20% of 60
[tex]=\dfrac{20}{100}*60\\\\= 2*6\\\\= 12 \ cakes[/tex]
Number of cakes given to Dora= [tex]\dfrac{1}{6}*60=10[/tex]
Remaining cakes = 60 - ( 12 +10)
= 60 - 22
= 38 cakes
Fraction of left cakes = [tex]\dfrac{38}{60}=\dfrac{19}{30}[/tex]
Can you answer this? please?
(7-4) + 17 / -14 + 2 x 5
Answer:
165/14
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
3 + 17/-14 + 2 x 5
3 - 17/14 + 2 x 5
3 - 17/14 + 10
165/14
Evaluate (2-3)(4) - 923
V=1/3πr²(h-1) find h
Answer:
[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]
Step-by-step explanation:
Hi there!
[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]
Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:
[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]
[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]
Add 1 to both sides:
[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]
I hope this helps!
can someone help me please?
An exponent is added to a term when the term is multiplied by itself. The exponent s value is the number of times the term is multiplied by its self.
There are 2 a’s so a x a = a^2
There are 3 b’s so you have b^3
There are 2 c’s so it is c^2
The equation becomes: a^2 x b^3 x c^2
Answer:
[tex]a \times a \times b \times b \times b \times c \times c = {a}^{2} \times {b}^{3} \times {c}^{2} \\ thank \: you[/tex]
6 3/4 yards of fabric per 3 costumes. how many yards do i need for 7 costumes
Finds how much is needed for 1 costume by dividing 6 3/4 by 3
6 3/4 /3 = 2 1/4 yards per costume.
Multiply yards per costume by 7:
2 1/4 x 7 = 15 3/4 yards total needed.
[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]
1costume[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]
7costumes[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]
[tex]\\ \rm\hookrightarrow 27yards[/tex]
three less than twice a number is fifteen
what is the answer?
Answer:
2X–3 =15
2X=15+3
2X=18
X=18/2
X= 9
I hope I helped you^_^
Answer:
18
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Find the area of a cell phone screen with an 8 inch diagonal that has an aspect ratio of 2:3.
Round answer to the nearest square inch.
The answer if any body knows it
Answer:
[tex]A=\pi(336)[/tex]
[tex]A=1055.575[/tex]
Step-by-step explanation:
1. Approach
One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.
2. Find the area of the quarter circle
The following formula can be used to find the area of a circle,
[tex]A_c=(\pi)(r^2)[/tex]
Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).
[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]
Substitute the given values into the formula and simplify to evaluate,
[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]
[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]
[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]
[tex]A_c=(\pi)(16)[/tex]
[tex]A_c\approx 50.2655[/tex]
3. Find the volume of the prism
Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,
[tex]A=A_c(l)[/tex]
Substitute and simplify to evaluate,
[tex]A=(\pi)(16)(21)[/tex]
[tex]A=\pi(336)[/tex]
[tex]A=1055.575[/tex]
Which of the following numbers are greater than -4.5 and less than -0.5?
Lets form a inequality
x is greater than -4.5[tex]\\ \sf\longmapsto x>-4.5[/tex]
x is less than -0.5[tex]\\ \sf\longmapsto x<-0.5[/tex]
Now
[tex]\\ \sf\longmapsto -4.5\lt x\lt -0.5[/tex]
Hence
[tex]\\ \sf\longmapsto x=\left\{-4.4,-4.3\dots -0.7,-0.6\right\}[/tex]
Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,
Answer:
k = 12
Step-by-step explanation:
The constant of proportionality k is the ratio
k = [tex]\frac{laps}{swimmers}[/tex]
Use any ordered pair from the table to find k
Using number of laps = 240, number of swimmers = 20 , then
k = [tex]\frac{240}{20}[/tex] = 12
common factor. 48x7y9−24x2y7−60x4y2
a + b = 0 Which of these is equal to b?
0
1/a
a
-a
Please help!
Answer:
The answer is -a
Step-by-step explanation:
from equation,
[tex]a+b=0\\=>b=0-a[/tex]
∴[tex]b=-a[/tex]
Therefore, -a is equal to b
hope you have understood this....
pls mark my answer as the brainliest
read the following bar graph and answer the following related questions: 1:2 or 2:3 or 3:4 or 1:6.
Which function is a quadratic function?
p(x) = 2x(x2 + 6) + 1
m(x) = –4(x + 3) – 2
t(x) = –8x2(x2 – 6) + 1
h(x) = 3x(x – 2) – 4
Answer:
D
Step-by-step explanation:
edge