Answers
x-intercepts are where the line touches the horizontal line (x-axis)
Related Questions
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
Please solve
16 > -8 + x
Answers
Answer:
3
Step-by-step explanation:
3x18>=3=3
Answer:
x < 24?
Step-by-step explanation:
Write an Equation using the following arithmetic sequence: 5, _____, ______, 32
Answers
Answer:
The sequence is:
5, 14, 23, 32
Step-by-step explanation:
We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:
aₙ = a₁ + (n-1)d
Given the arithmetic sequence
5, _____, ______, 32
here:
a₁ = 5
n = 4
aₙ
so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term
aₙ = a₁ + (n-1)d
32 = 5 + (4-1)d
32 = 5 + 3d
3d = 32-5
3d = 27
divide both sides by 3
3d/3 = 27/3
d = 9
Therefore, the common difference: d = 9
Determining the 2nd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 2, a₁ = 5, d = 9
a₂ = 5 + (2-1)9
a₂ = 5 + 1(9)
a₂ = 5 + 9
a₂ = 14
Determining the 3rd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 3, a₁ = 5, d = 9
a₃ = 5 + (3-1)9
a₃ = 5 + 2(9)
a₃ = 5 + 18
a₃ = 23
Thus, the sequence becomes:
5, 14, 23, 32
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answers
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC
Answers
Answer:
Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].Side c:
If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]Finding the angles:
In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.Help meh please sweet hoomans
Answers
Answer:
16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.
17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.
Step-by-step explanation:
we need to determine if the ratios form the proportions.
16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]
If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]
So, finding cross product and checking:
[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]
Since the cross product is equal i.e. 81=81 so, the ratios are proportional.
The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.
17) [tex]\frac{34}{9},\frac{25}{7}[/tex]
If the ratios are proportional, their cross product will be equal. i.e.
[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]
So, finding cross product and checking:
[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]
Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.
The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.
Ob is travelling from his home to his doctor's surgery. He walks 500m to the bus stop, he then gets on the bus. When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km. How many km did Bob travel on the bus?
Answers
Answer:
1.998 km
Step-by-step explanation:
From the question, we know that:
When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.
We convert 2000 mm to km
1 mm =1 × 10^-6 km
2000mm = x
2000mm × 1 × 10 ^-6km
= 0.002km
Subtracting this from the total distance
2.5km - 0.002 km
= 2.498 km
1 metre = 0.001 kilometre
We convert
He walks 500m to the bus stop, he then gets on the bus.
1 metre = 0.001 kilometre
We convert 500 m to km
1 m = 0.001 km
500m = x
x = 500 × 0.001
= 0.5 km
Subtracting this from the current distance, the distance he travelled on the bus is:
2.498km - 0.5km
= 1.998 km
Therefore, he travelled 1.998 km on the bus
Determine the smallest integer value of x in the solution 4x-9 ≥ 17
Answers
Answer:
6.5
Step-by-step explanation:
calculator
Answer:
7 is the smallest integer value
plz brainliestt
Step-by-step explanation:
4x>_ 26
x>_6.5
The area of a rectanglular television screen is 3456 in^2. The width of the screen is 24 inches longer thean the height what is the quadratic equation that represents the area of the screen? What are the diminsions of the screen?
Answers
Answer:
The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
Step-by-step explanation:
Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.
To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?
Solution:
Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.
Now, we know that area of a rectangle [tex]= \text{length}\times\text{width}[/tex].
As per question,
[tex]x(x+24)=3456[/tex]
[tex]\implies x^{2} +24x=3456[/tex]
[tex]\implies x^2+24x-3456=0[/tex]
So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].
[tex]x^2 +24x-3456=0[/tex]
[tex]\implies x^2 -48x+72x-3456=0[/tex]
[tex]\implies x(x-48)+72(x-48)=0[/tex]
[tex]\implies (x-48)(x+72)=0[/tex]
[tex]\implies x-48=0[/tex] or [tex]x+72=0[/tex]
[tex]\implies x=48[/tex] or [tex]-72[/tex]
Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.
Hence, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
The radius of the circle above is 39 mm. What is the circumference of the circle? (Use a = 3.14.)
Answers
Answer:
244.92mm
Step-by-step explanation:
if we say circumference=2*pi*r then we have circumference=2*3.14*39=244.92
so to find the circumferene the formula is pi r 2
a= 3.14 x 39 x 2
a= 244.92 (my teacher tells us to round it to the decimal place of the question, if your teacher says that too here's the answer 245mm)
sorry i took long i selpt while doin this
Question 2
5x + 2y = 4
9x + 2y = 12
Answers
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
Select the expression that represents the distance between the numbers r and p
Answers
Answer:
Option B
Step-by-step explanation:
Let's understand this problem in a simpler way,
If two points P and R represent the numbers as,
P = 2 and R = - 4
Then distance between these points will be,
P - R = -4 - 2 Or R - P = 2 - (-4)
= -6 Or R - P = 6
= ±6
But the distances are always positive so 6 will be the answer.
That's why we represent the distances between two points as,
|P - R| (Absolute value of the difference)
Option B is the answer.
The Barbers are keeping track of their family energy costs. It costs the Barber $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks
Answers
Answer:
$8.32
Step-by-step explanation:
You just multiply 0.16 with 52
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answers
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
Which expression is the same as (2a + b)3?
A. 893 +63
B. 8a3 + 4a2b + 2ab2 + b3
O C. 8a + 4a²b + 4ab2 + b3
O D. 8a+ 12a²b + 6ab2 + b3
PLSSS HURRY
Answers
Answer:
B 8a3+4a2b+2ab2+b3
Step-by-step explanation:
2PM 6is the
Need help asap please help
Answers
Answer:
option 1
Step-by-step explanation:
what value of x satisfies the equation?
Answers
Answer:
I don't know the answer but you can type it in on demos
Answer:
The value of x = 0
Step-by-step explanation:
Got a 5/5 on Plato
Is this relation a function? justify your answer
Check image
A
B
C
D
Answers
Answer: No C
Step-by-step explanation:
The x values of the coordinates cannot repeat.
Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.
Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?
Answers
Answer: 150 wpm
Step-by-step explanation:
if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.
1500/10 = 150
how would you find arctan without a calculator?
Answers
Answer:
Tangent Inverse Function
Step-by-step explanation:
help plz plz plz will mark brainliest
Answers
Step-by-step explanation:
We have Angle ZWD = Angle DWN.
=> 5v - 7 = 4v + 8, v = 15.
Therefore x = Angle ZWD = 5(15) - 7 = 68.
Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Answers
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (-x+2a,y)[/tex]
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
[tex](x,y)\to (-x+2(2),y)[/tex]
[tex](x,y)\to (-x+4,y)[/tex]
Using this rule, we get
[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]
[tex]A(-3,4)\to A'(3+4,4)[/tex]
[tex]A(-3,4)\to A'(7,4)[/tex]
Similarly,
[tex]B(-1,4)\to B'(5,4)[/tex]
[tex]C(-1,-1)\to C'(5,-1)[/tex]
[tex]D(-3,-1)\to D'(7,-1)[/tex]
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
In parallelogram EFGH if GJ=15 find JE.
F
E
H
Answers
Answer:
15
Step-by-step explanation:
So point j is the midpoint of both of the diagonals in the parallelogram.
That means that JE=GJ
So the answer is 15
Pls help taking finals
What is the value of w in the equation -W + 7 = 2w- 2?
Answers
Answer:
3
Step-by-Step explanation:
I just worked it out! Good luck :)
FIRST ONE TO GIVE ME A CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
y-4=5
add 4 on both sides
you get y = 9
replace y with 9
9 - 4 = 5
final answe is 5=5
Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?
Answers
Answer:
no sé eres tú
Step-by-step explanation:
Someone help with this please
Answers
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
Find the value of x.
Answers
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
Mrs. Kidd took her two children to a waterpark for summer fun. An adult ticket cost $32 and the total price of admission for Mrs. Kidd's family was $84. How much was a child's ticket?
Answers
2x = 52
x = 26
child's ticket is $26
Please please help me!!!!
Answers
9514 1404 393
Answer:
yy+8y-2Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.