Answer:
See bolded below.
Step-by-step explanation:
As you said, you only need help with no. 2:
a) Check the attachments for the lines
b) The equations are, respectively:
y = -4x + 1 [intersects parabola at 1 point]
Check:
[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+1\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-4x+1=\left(x-2\right)^2-3\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-4x+1=x^2-4x+1\end{bmatrix}[/tex]
[tex]x^2=0, x = 0[/tex]
[tex]y=-4\cdot \:0+1 = 1[/tex]
[tex]y=1,\:x=0[/tex]
The point of intersection would be (0, 1)
y = -4x + 3 [intersects parabola at 2 points]
Check:
[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+3\end{bmatrix}[/tex]
Subtract the 2 equations,
[tex]y=\left(x-2\right)^2-3\\-\\\underline{y=-4x+3}\\y-y=\left(x-2\right)^2-3-\left(-4x+3\right),\\0=x^2-2\\x = \sqrt{2}, x = - \sqrt{2} \\\\\mathrm{Plug\:the\:solutions\:}x=\sqrt{2},\:x=-\sqrt{2}\mathrm{\:into\:}y=\left(x-2\right)^2-3[/tex]
[tex]\begin{pmatrix}x=\sqrt{2},\:&y=3-4\sqrt{2}\\ x=-\sqrt{2},\:&y=3+4\sqrt{2}\end{pmatrix}[/tex]
Therefore the points of intersection are (√2, 3-4√2) and (-√2, 3+4√2) respectively
And finally we have the equation y = - 4x. It doesn't intersect the parabola.
c) The y-intercepts of such graphs are all less than or equal to 0.
Solve for x.
-2x-3=-7
-2x-3=-7
add 3 to both sides
-2x=-4
isolate x by diving both sides by -2
Answer: x=2
Hope that helps!
Please mark brainliest
Answer:
x = 2
Step-by-step explanation:
The whole goal when solving problems like this is to get the x alone. So the first step would be to get the -3 over to the other side. To do this, you would add 3 to each side of the equation, so that the -3 on the left side cancels out.
-2x - 3 = -7
+3 +3
-2x = -4
The next thing you need to do is divide each side by -2. You would do this because right now, the equation reads "negative two times x equals negative four". When you divide a multiplication problem, it cancels out, so you are left with just the x.
-2x = -4
÷ -2 ÷ -2
x = 2
You now have the value of x.
Please let me know if you need any more help. I hope this explanation helps you understand a bit better. Have a great day! :)
Can u answer my question please?
200(1-0.80)^2
Answer:
the answer is 8 hope it helped <3
Step-by-step explanation:
Answer: 8,
I apologize if I'm wrong. Good luck!
Step-by-step explanation:
First, you need to do parenthesis, 1-0.80=0.2
Then, you do exponents, 0.2^2=0.04
Last, you do 200x0.04=8
In QRS, the measure of S=90, the measure of Q=64, and RS=16
Answer:17.8 feet
Step-by-step explanation:
Please help me with geometry :(
Answer:
I think it's C is true but make sure
How do you graph this (real answers only)
Answer:
Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....
Step-by-step explanation:
heres a graph
Una garrafa de aceite equivale a 5 botellas y 3 garrafas es igual a 7, las cuales suman 11 litros, ¿Cuál es las capacidad de una botella y una garrafa?
Respuesta:
Botella, B = 0.5
Jarra, C = 2,5
Explicación paso a paso:
Dejar :
Garrafa = C
Botella = B
C = 5B - - - - 1)
3 garrafas más 7 botellas = 11 litros
3C + 7B = 11
C = 5B
3 (5B) + 7B = 11
15B + 7B = 11
22B = 11
B = 11/22
B = 1/2 = 0,5
Sustituyendo B = 0.5 en 1)
C = 5B
C = 5 (0,5)
C = 2,5
A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $37.00
Answer:
63.00
Step-by-step explanation:
Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.
Answer: 84
Step-by-step explanation: do 42 dived by 50% gets you 84
I NEEED TO DO THIS ASSIGHMEN T HELP PLS
angle B=90
now
A+B+C=180
90+A+C=180
A+C=90
what is the 30th term In the sequence 10,7,4,1-3,...
determine the term to term rule
Answer:
7
Step-by-step explanation:
ok so it 7 but 10 is out so is 3
What is the measure of an exterior angle of a regular hexagon?
Enter your answer in the box.
Answer:
60°
Step-by-step explanation:
each interior angle of a regular hexagon measures 120° (720° divided by 6 sides)
therefore, each exterior angle measures 180-120 = 60°
8. Duane packed some books in a box shaped like a rectangular prism. The volume of
the box is 168 cubic inches. Which model could represent Duane's box?
i need help can someone help me please
Answer:
y = -2/5x-6
Step-by-step explanation:
i hope this helps :)
NEED THIS SOLVED ASAP PLS HELP ME!!!
Answer:
x= 1 ±√21/3
x= 2.52753
x= - 0.527525
Step-by-step explanation:
-(-6) ±√-6² - 4 (3) (-4) / 2(3)
6±√36 -(-48) / 6
6±√84/6
6±2√21/6
6/6 ±2√21/6
1±√21/3
1+ √21/3 = 2.52753
1-√21/3= - 0.527525
Step-by-step explanation:
[tex]3x ^{2} - 6x - 4 = 0[/tex]
[tex]by \: quadratic \: formula[/tex]
[tex](-b±√(b²-4ac))/(2a) [/tex]
[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]
[tex](6±√(36 + 48)/(6) [/tex]
[tex](6±√(84)/(6) [/tex]
[tex](6±2√21)/6[/tex]
[tex]2(3±√21)/6 [/tex]
[tex]3±√21/3[/tex]
[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]
[tex]3 + \sqrt{21} /3[/tex]
[tex]3 + 4.58/3[/tex]
[tex]7.48/3[/tex]
[tex]2.52[/tex]
[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]
[tex]3 - 4.58/3[/tex]
[tex] - 1.58/3[/tex]
[tex] - 0.52[/tex]
[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]
Please help
I don’t understand it
Answer:
6
Step-by-step explanation:
a^2+b^2=c^2
(3√(2))^2=18
(3√(2))^2+(3√(2))^2=36
√36=6
hypto=6
Help!
JH is a mid-segment of KLM. Find the value of x.
JH = mid-segment of triangle KLM.
ML = 22
(1/2)(ML) = 11
JH = (1/2)(ML) = x
So, x = 11.
5x + 5(x - 18) = 0 what is x
Answer:
x = 9
Step-by-step explanation:
5x + 5x - 90 = 0
5x + 5x = 90 + 0
5x + 5x = 90
10x = 90
x = 9
Hope that helps!
-Sabrina
someone pls help i’m failing this class
Answer:
Step-by-step explanation:
so if the cubic length is now shorter you have to make the object bigger. So now the rectangle would have a length of 6 squares and a height of 10 squares
Answer:
3 by 3
Step-by-step explanation:
make it go 3 squares to the right and 3 squares upwards for a total or 9 squares.
!!!OMGG I NEED HELP QUESTION AT THE BOTTOM!!!!
Answer:
C I think
Step-by-step explanation:
Please help I was on this for a while
Answer:
Radius R = 9 ft
Step-by-step explanation:
Given:
Volume of sphere = 972π ft³
Find:
Radius R
Computation:
Volume of sphere = (4/3)πr³
972π = (4/3)πr³
729 = r³
Radius R = 9 ft
Find the sum of the measures of the interior angles of a convex 45-gon.
Answer: 7740
Step-by-step explanation: take 180(n-45) and n represents the sides
The sum of the measures of the interior angles of a convex 45-gon.
is 7740.
What is a cube?It is a polygon having six faces.
The volume of a cube is a side³.
We have,
Polygon with side = 45
Sum of interior angles of any polygon = (n - 2) x 180 ______(1)
Now,
n = 45
So,
Substituting n in (1)
(n - 2) x 180
= (45 - 2) x 180
= 43 x 180
= 7740
Thus,
The sum of the measure of the interior angles is 7740.
Learn more about cubes here:
https://brainly.com/question/11168779
#SPJ2
What is the slope between the points (1,5) and (3, 15)
Find the distance between the points −9, 7 and −9, −5. A) 12 B) 14 C) 16 Eliminate D) 18
Answer:
its 14
Step-by-step explanation:
A.75
B.80
C.95
D.110
Answer:
D. 110
Step-by-step explanation:
CDHK ≅ MPTS
So: D = P
P = 110°
D = 110°
Pls help me with it!!!!!!
Answer:
I dont really know but I can tell you for sure its one of the first 2
Step-by-step explanation:
What is the value of the expression?
Answer:
6s2
= 6(2)2
= 12 × 12
= 144
: The value of the expression is equal to 144
the expression (x^12)(x^25)^2 is equivalent to x^p . what is the value of p
Answer:
p = 6
Step-by-step explanation:
[tex](x^{2})(x^{2})^{2}[/tex]
[tex](x^{2}) ^{2}[/tex] is [tex]x^{2*2}[/tex]
The equation is now [tex](x^{2} )(x^{4})[/tex]
add the two exponents together 2 + 4
the final answer is [tex]x^{6}[/tex]
Tamika makes $ 378.00 on the sale of a home theater system that costs $9.000.00. Express her rate of commission as a percent rounded to the nearest whole number
Answer:
4%
Step-by-step explanation:
commission rate = (amount earned on sales / total cost of items sold) x 100
[tex]\frac{378}{9000}[/tex] × 100 = 4.2%
To convert to the nearest whole number, look at the first number after the decimal,
if it is equal to or greater than 5, add 1 to the number before the decimalif it is less than five, add 0 to the number before the decimaltwo is less than 5, thus we would add zero to 4.
4.2% becomes 4%
Round 188,206 to the nearest thousand
Answer:
188,000
Step-by-step explanation:
please help will give brainliest need fast
Answer:
x = 5
Step-by-step explanation:
18 + 9 = 27
27/9 = 3
3x = x + 10
2x = 10
x = 5
Answer:
Option D is correct.
Value of x is, 10 units.
Step-by-step explanation:
Given that:
From the given figure, we have;
AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.
then, by triangle proportionality theorem;
Substitute the given values, to find the value of x;
By cross multiply we have;
Divide both sides by 6 we get;
10 = x
Therefore, the value of x is, 10 units
Find the distance between the pair of points.
(2, 2) and (6,5)