Answer:
$325
Step-by-step explanation:
Let x be the cost of the bench.
Therefore, x + (x-96)=554
2x-96=554
2x=650
x=325
Answer:
The bench cost $229 and the garden table costs 229 + 96 = $325
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table = x + 96
x + (x + 96) = 554
2x + 96 = 554
2x = 458
x = 229
I need help and an answer ASAP Please don't abandon the answer I need an answer!
find points of discontinuity y=x^2+5x+6/x^2-16
Answer:
x=4 and x=-4
Step-by-step explanation:
We assume you intend ...
y = (x^2 +5x +6)/(x^2 -16)
There will generally be points of discontinuity where the denominator is zero. Sometimes a denominator factor will be cancelled by a numerator factor, but the "hole" remains and there is still a discontinuity there.
Here, the denominator factors as the difference of squares:
x^2 -16 = (x -4)(x +4)
There will be discontinuities where these factors are zero, at x=4 and x=-4.
Help, will mark brainliest
Answer:
38
Step-by-step explanation:
Find the ninth term of the sequence.
4, 3, 0. - 5. – 12, ...
Answer:
-60
Step-by-step explanation:
4-1=33-3=00-5=-5-5-7=-12-12-9=-21-21-11=-32-32-13=-45-45-15=-60Given that sin 60 = root3/2
Find the exact value of sin 240
Answer:
[tex]sin 240^\circ = - \dfrac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
We are given that:
[tex]sin 60^\circ = \dfrac{\sqrt{3}}{2}[/tex]
We need to find
[tex]sin 240^\circ = ?[/tex]
240 is greater than 180 and lesser than 270
OR
[tex]180^\circ<240^\circ<270^\circ[/tex]
So, Angle [tex]240 ^\circ[/tex] lies in the 3rd quadrant and it is well known that value of sine in 3rd quadrant is negative.
Using the property :
[tex]sin(\pi + \theta) = -sin\theta[/tex] or
[tex]sin(180^\circ + \theta) = -sin\theta[/tex]
Here, [tex]\theta\ is\ 60^\circ[/tex].
[tex]sin 240^\circ =sin(180^\circ + 60^\circ) = -sin60^\circ\\\Rightarrow -\dfrac{\sqrt{3}}{2}[/tex]
Hence, the value
[tex]sin 240^\circ = - \dfrac{\sqrt{3}}{2}[/tex]
f(x) = x 2+ 6 and g(x) = 2x - 1
g[f(x)] =
A. 4x^2-4x+7
B. 2x^2+11
C. 2x^2+5
Answer:
work is shown and pictured
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the pairs of equations that represent concentric circles.
3x2 + 3y2 + 12x − 6y − 21 = 0
5x2 + 5y2 − 10x + 40y − 75 = 0
5x2 + 5y2 − 30x + 20y − 10 = 0
4x2 + 4y2 + 16x − 8y − 308 = 0
x2 + y2 − 12x − 8y − 100 = 0
2x2 + 2y2 − 8x + 12y − 40 = 0
4x2 + 4y2 − 16x + 24y − 28 = 0
3x2 + 3y2 − 18x + 12y − 81 = 0
x2 + y2 − 2x + 8y − 13 = 0
x2 + y2 + 24x + 30y + 17 = 0
Answer:
Following are the concentric circle represent:
Step-by-step explanation:
Given values:
[tex]3x^2 + 3y^2 + 12x - 6y - 21 = 0\\5x^2 + 5y^2 - 10x + 40y - 75 = 0\\5x^2 + 5y^2 - 30x + 20y - 10 = 0\\4x^2 + 4y^2 + 16x - 8y - 308 = 0\\x^2 + y^2 -12x - 8y - 100 = 0\\2x^2 + 2y^2 - 8x + 12y - 40 = 0\\4x^2 + 4y^2 - 16x + 24y - 28 = 0\\3x^2 + 3y^2 - 18x + 12y - 81 = 0\\x^2 + y^2 - 2x + 8y -13 = 0\\x^2 + y^2 + 24x + 30y + 17 = 0\\[/tex]
Following are the concentric value:
[tex]\Rightarrow 3x^2 + 3y^2 + 12x - 6y - 21 = 0 \leftrightarrow 4x^2 + 4y^2 + 16x - 8y - 308 = 0 \\\\[/tex]
[tex]\Rightarrow 5x^2 + 5y^2 - 10x + 40y -75 = 0 \leftrightarrow x^2 + y^2 - 2x + 8y- 13 = 0\\\\[/tex]
[tex]\Rightarrow 5x^2 + 5y^2 - 30x + 20y - 10 = 0 \leftrightarrow 3x^2 + 3y^2 - 18x + 12y - 81 = 0 \\\\[/tex]
[tex]\Rightarrow 2x^2 + 2y^2 - 8x + 12y - 40 = 0 \leftrightarrow 4x^2 + 4y^2 - 16x + 24y - 28 = 0[/tex]
I need help pleaseeeeeeeee
Answer:
23 centimeters squared
What is the value of log6255?
O 4
4 14
O
O 4
Answer: 3.79622731403
Step-by-step explanation:
4. A line passes through (2, -1) and (8,4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Answer:
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
Step-by-step explanation:
Explanation:-
Given points are ( 2,-1) and (8 ,4)
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{4- (-1) }{8-2 } = \frac{5}{6}[/tex]
Point - slope form
y - y₁ = m ( x - x₁)
y - (-1) = 5 /6 ( x-2)
6 ( y +1) = 5 (x -2)
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
Evaluate the given expression 10 c4•10c2
Step-by-step explanation:
answer in photos thanks
Express the equation in the form Y= mx+b by solving for Y. -2x-y=10
A: y=-2x+10
B: y=2x+10
C: y= 2x-10
D: y= -2x-10
Answer:
the answer is d: y=-2x-10
please help as soon as possible
Answer:
3/2
Step-by-step explanation:
Answer:
Type in 2 / 3
Step-by-step explanation:
Take a look at the procedure below;
[tex]3y = 2x, Divide both sides by 3,\\y = 2 / 3x, Take Constant of Proportionality as slope ( y = ax, where a - slope )\\Solution; 2 / 3[/tex]
can anyone rewrite the quadratic function in standard form?
Answer:
y = -2(x-2) (x+8)
Step-by-step explanation:
got you bro
Answer:
y = -2x² -12x + 32.
Step-by-step explanation:
Recall that a quadratic equation in standard form is:
y = ax² + bx + c.
To rewrite the equation in standard form, you will need to FOIL and distribute the -2. This can be done by:
y = -2(x-2)(x+8)
FOIL the factored part of the equation. Ignore the '-2' for now.
y = -2 (x² +6x -16)
Now, multiply the '-2' with all of the terms:
y = -2x² -12x + 32.
This is your equation in standard form!
ABCDE and FGHIJ are regular pentagons with FGHIJ the larger of the two. One side of pentagon ABCDE is 4 units long. If the ratio of the perimeters of the 2 pentagons is 2:3, how many units long is a side of pentagon FGHIJ ?
Answer:
6 unit
Step-by-step explanation:
2x2=4
soooo
3x2=6
Answer:
I think it would be 3.1
Step-by-step explanation:
I think
Which graph shows the solution to the system of linear inequalities below?
Answer: Graph A or answer D is correct
PLEASE HELP! An equilateral triangle has what type of symmetry? A. line symmetry only B. point symmetry only C. both point and line symmetry D. neither point nor line symmetry E. both point and rotational symmetry
Answer:
A
Step-by-step explanation:
it has 3 lines of symmetry
Answer:
both i think dont be mad if its not right im stressed right now
Step-by-step explanation:
I NEED QUICKKKK will mark brainliest A perfectly vertical stack of dominoes has a volume of 1.8 cubic inches. Another stack of the same number of dominoes is slanted slightly to the right. What is its volume?
Answer: 1.8
Step-by-step explanation: I’m not entirely sure about this, but it probably is 1.8 because I don’t think the slant would change the volume, though I may be wrong
Answer:
1.8 cubic inches
Step-by-step explanation:
The perfectly vertical stack has a volume of 1.8 cubic inches. Therefore, another stack with the same amount would have the same volume, regardless of whether or not it is slanted.
Find the area of a circle with radius 7 yd.
Use the value 3.14 forn, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
153.86 yd²
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
Area = 3.14 × 7 ×7
Area = 153.86 yd²
Answer:
153.86 yd²
Step-by-step explanation:
brainlist if correct
and thanks
question is the screenshot
Answer:
(0,1/2)
Step-by-step explanation:
When X=0, Y=0.5, or 1/2
1/2=0+1/2
Answer:
(0, 1/2)
Step-by-step explanation:
y = x + 1/2
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 1 and the y intercept is 1/2
(0, 1/2)
Write the equation of a circle centered at the
point P(-4,-6) and passing through the point
R(2,2).
Answer:
[tex](x+4)^2+(y+6)^2=100[/tex]
Step-by-step explanation:
Given a circle centred at the point P(-4,-6) and passing through the point
R(2,2).
To find its equation, we follow these steps.
Step 1: Determine its radius, r using the distance formula
For point P(-4,-6) and R(2,2)
[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10[/tex]
Step 2: Determine the equation
The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Centre,(h,k)=P(-4,-6)
r=10
Therefore, the equation of the circle is:
[tex](x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100[/tex]
What is the perimeter of a square with an area of 225 cm??
A)
15 cm
B)
30 cm
C
60 cm
D)
120 cm
The right answer is 60cm
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
60
Step-by-step explanation:
the square root of 225 = 15
squares have 4 sides
15 times 4 = 60
26. In the standard (x,y) coordinate plane, P(-3,-1) will be
reflected over the y-axis. What will be the coordinates
of the image of P ?
F. (-3, 1)
G. (-1, 3)
H. (1,-3)
J. 1, 3)
K. ( 3,-1)
Answer:
(-3,1) is the answer.
Step-by-step explanation:
reflection-(-3,-1)
=(-3,1)
therefore the points on the x-axis stay on the x-axis. This is reflection about the y-axis
QUESTION 5 The temperature was -7°C in the morning. The temperature dropped 3°C by sunset. What was the temperature at sunset? +10°C +4°C -4°C -10°C
Find the common difference, d, in the following arithmetic sequence.
42, 38, 34, 30, 26, …
–5
5
4
–4
Answer: -4
Step-by-step explanation: Let me know if you need an explanation.
Ivan watered 3 plants. Every plant got 5/9 gallons of water. How much water did he use in all write in simplest form
Answer:
1 and 2/3 gallons of water.
Step-by-step explanation:
5/9*3=15/9
15/9=1 and 6/9
6/9 simplified is 2/3
Answer: 1 and 2/3 gallons of water
Based on the information given, the amount of water used will be 1 2/3 gallons.
From the information given, it was stated that Ivan watered 3 plants and that every plant got 5/9 gallons of water.
Therefore, the amount of water that'll be used for all will be:
= 5/9 × 3
= 15/9
= 1 2/3.
In conclusion, the correct option is 1 2/3 gallons.
Learn more about fractions on:
https://brainly.com/question/17220365
The function f(x)= --x is shown on the graph.
Which statement is correct?
The range of the graph is all real numbers greater than or
equal to 0.
The domain of the graph is all real numbers greater than
4 or equal to 0.
The range and domain of the graph are the same.
The domain of the graph is all real numbers.
Answer:
Option (3).
Step-by-step explanation:
Attached figure is the graph of a function,
f(x) = -[tex]\sqrt{-x}[/tex]
Since domain of any function is the set of all possible input values of the function,
Therefore, Domain of the function is,
Domain : x ≤ 0 Or (-∞, 0]
And range of the function is the set of all possible output values (y-values) of the function.
Therefore, Range of the function will be,
Range : y ≤ 0 Or (-∞, 0]
Therefore, Domain and range of this function is same.
Option (3) will be the answer.
Answer:
C.) The range and domain of the graph are the same.
Step-by-step explanation:
Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?
Answer:
8 large candles
Step-by-step explanation:
If all the candles were large candles,
Amount received
= 20( $27.98)
= $559.60
Difference in amount received
= $559.60 -$355.60
= $204
Difference in the cost of a small candle to a large candle
= $27.98 -$10.98
= $17
Number of small candles
= $204 ÷$17
= 12
Thus, number of large candles
= 20 -12
= 8
Let's check!
Amount received
= 8( $27.98) +12( $10.98)
= $355.60 ✓
looking at the diagrams, answer the question
Hey!!!
Answers:
1. {d}
2. {a,d,g,f}
3.{g,e,f}
please see attached picture for full solution
Hope it helps
Good luck on your assignment
Stay safe..
Which is a pertect square?
72
81
90
99
Answer:
81.
Step-by-step explanation:
9 * 9 = 81
Answer:
81
Step-by-step explanation:
81 is a perfect square since
√81 = 9 (perfect square)
However any of the others aren't perfect squares
