Answer:
- 15x² + 7x + 1
Step-by-step explanation:
Given
2x² - 9 - 17x² + 10 + 7x ← collect like terms
= (2x² - 17x² ) + 7x + 1
= - 15x² + 7x + 1
Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.
Answer:
Thus, the fourth answer choice is the correct one
Step-by-step explanation:
Let's check this, using the Pythagorean Theorem:
"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."
Does 2² + (√6)² = 3²?
Does 4 + 6 = 9? NO. .
Find the volume of the prism.
Answer:
[tex]V=120\ units^3[/tex]
Step-by-step explanation:
we know that
The volume of a prism is equal to
[tex]V=BL[/tex]
where
B is the area of the base of the prism (triangular base in this problem)
L is the length of the prism (perpendicular distance between the top and the bottom)
Find the area of the triangular base B
[tex]B=\frac{1}{2}(3)(4)=6\ units^2[/tex] ---> area of a triangle
we have
[tex]L=20\ units[/tex]
substitute in the formula of volume
[tex]V=6(20)=120\ units^3[/tex]
Note The problem does not specify whether the measurements are in centimeters or in units, so I assume they are in units.
7|n| = 56
anyone know how to do dis?!?!
Answer:
{-8, 8}
Step-by-step explanation:
Simplify 7· |n| = 56 by dividing both sides by 7:
|n| = 8
Because this is an absolute value equation, there are two separate solutions. One is n = +8 and the other is n = -8.
There are two solutions.
[tex]
7\times\mid n\mid=56\Longrightarrow\mid7n\mid=56 \\
\mid7\times x_1\mid=56\Longrightarrow x_1=\frac{56}{7}=\boxed{8} \\
\mid7\times(-x_1)\mid=56\Longrightarrow-x_2=\frac{56}{7}\Longrightarrow x_2=\boxed{-8}
[/tex]
An ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin. Which is the equation of the ellipse in standard form?
ANSWER
[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]
EXPLANATION
The given ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin.
The equation of an ellipse with vertex on the y-axis and center at the origin is given by
[tex]\frac{ {y}^{2} }{a ^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{( - 7) ^{2} } + \frac{ {x}^{2} }{ {4}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]
The equation of the ellipse with a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin is x^2/16 + y^2/49 = 1.
Explanation:To find the equation of the ellipse in standard form, we need to identify the lengths of the major and minor axes. The given vertex at (0, -7) indicates that the semi-major axis length, a, is 7 because the distance from the center to a vertex measures the semi-major axis. Similarly, the co-vertex at (4, 0) represents the semi-minor axis length, b, which is 4.
Since the center is at the origin (0, 0), the standard form of the ellipse equation is given by x^2/b^2 + y^2/a^2 = 1. Plugging the values of a and b, we get x^2/4^2 + y^2/7^2 = 1. So, the equation of the ellipse is x^2/16 + y^2/49 = 1.
Mary spends 2 2/3 hours on math homework every week. She also spends 3 1/3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer:
2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.
Step-by-step explanation:
Final answer:
Mary spends a total of 24 hours on math and art homework combined over a period of 4 weeks.
Explanation:
Mary spends 2 2/3 hours on math homework and 3 1/3 hours on art homework each week.
To find out how much time she spends on both subjects over 4 weeks, first, we add the weekly hours:
2 2/3 + 3 1/3 = 6 hours per week.
Next, we multiply this weekly total by 4 to determine the monthly total: 6 hours/week × 4 weeks = 24 hours.
Therefore, Mary spends a total of 24 hours on math and art homework over 4 weeks.
F(x)=-3x+4 and g(x)=x^2 what is (g ° f)(0)
Answer:
[tex]\left(gof\right)\left(0\right)=16[/tex]
Step-by-step explanation:
Given functions are [tex]f\left(x\right)=-3x+4[/tex] and [tex]g\left(x\right)=x^2[/tex].
Using both functions we need to find about what is the value of [tex]\left(gof\right)\left(0\right)[/tex]. That can be done as shown below:
[tex]\left(gof\right)\left(0\right)[/tex]
[tex]=g\left(f\left(0\right)\right)[/tex]
[tex]=g\left(-3\left(0\right)+4\right)[/tex]
[tex]=g\left(0+4\right)[/tex]
[tex]=g\left(4\right)[/tex]
[tex]=4^2[/tex]
[tex]=16[/tex]
Hence final answer is [tex]\left(gof\right)\left(0\right)=16[/tex].
Paul graphed the equation y=6 + x. What is the y-coordinations of the point on the graph that has an x coordinate of 12
Answer:
its 18
Step-by-step explanation:
6+12=18
lol
Answer:
y = 18
Step-by-step explanation:
Just let x = 12
y = 6 + x
y = 6 + 12
y = 18
When x = 12, y = 18.
The graph is included to show you what y = 6 + x looks like and it also shows the point (12,18) = (x,y)
The total surface area of a cube is 600 sq cm what is the length of one edge of the cube
Answer:
4.64
Step-by-step explanation:
s = 6a^3
600=6a^3
100 = a^3
solve for a which would be 4.64
y < -2x + 4 what is the solution to the inequality?
Answer:
x<\frac{-y+4}{2}
Step-by-step explanation:
Hope this helps!!!
can i get brainliest plzzz thx
Post A and Post B are 120 meters apart. Post B and Post C are 300 meters apart. Ben cycled from Post A to Post B in 15 seconds. Then he cycled from Post B to Post C in 55 seconds. Find Ben's average speed for the distance from post A to Post C.
Show work
Answer: 6 meters per second
Step-by-step explanation:
Ben's average speed from Post A to Post C is 6 meters per second, calculated by dividing the total distance cycled (420 meters) by the total time taken (70 seconds).
Explanation:The subject of the problem is calculating average speed. In this context, Ben's average speed can be calculated by dividing the total distance cycled by the total time taken.
Total distance is the sum of the distance from Post A to Post B and from Post B to Post C, which is 120 meters + 300 meters = 420 meters.
Total time is the sum of the time taken from Post A to Post B and from Post B to Post C, which is 15 seconds + 55 seconds = 70 seconds.
So, Ben's average speed=Total Distance/Total Time.
This equals 420 meters/70 seconds= 6 meters/second.
Therefore, Ben’s average speed for the entire distance from Post A to Post C is 6 meters per second.
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f(x)=4(x-1)^2-9 into standard form
Answer:
y=4(x-1)^2-9
Step-by-step explanation:
Replace f(x) with y to find the properties of the parabola
The answer would be y=4(x-1)^2-9
hellodjdjdjdjdjdjdjd
Answer:
can't help you sorry
Step-by-step explanation:
can't help you sorry!
Answer:
yes
Step-by-step explanation:
Simplify 4y-8y^2+9y-7y^2
Answer: D) 13y+15y^2
Step-by-step explanation:
(4y+9y)+(-8y^2-7y^2)=13y-15y^2
4y-8y^2+9y−7y^2
=4y+ −8y^2+9y+ −7y^2
Combine Like Terms:
=4y+ −8y^2+9y+ −7y^2
=(−8y^2+ −7y^2)+(4y+9y)
= −15y^2+13y
I need to know number six and thank you guys for all the help
Answer:
D
Step-by-step explanation:
First of all, a very easy way is to count all the rectangles and then count the squares that are shaded and have balloons.
You'll get 7 squares that are shaded and have balloons and 16 rectangles in total.
So the fraction will be [tex]\frac{7}{16}[/tex]
Another simple way is to just multiply [tex]\frac{7}{8}[/tex] and [tex]\frac{1}{2}[/tex]
[tex]\frac{7}{8}*\frac{1}{2}=\frac{7}{16}[/tex]
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5. A farmer found a crop circle in his fields. He rode his tractor around it, and found that its
circumference was 1.884 miles. He rode his tractor directly across the center, and found
that the diameter was 0.6 miles. What is the area of the crop circle?
Answer: 0.283 square miles
Step-by-step explanation:
The area of a circle is:
Diameter:A = (π/4) × D2
or, when you know the Circumference:A = C2 / 4π
Mr. Abrams conducted a survey of 355 students. 72% of them said that they study for tests. How many students said they study for tests?
Rounded Answer: 256
Exact Answer : 255.6
Which of the following is the solution for 9<=1-4x<21
Answer:
-5 < x <=-2
Step-by-step explanation:
9<=1-4x<21
Subtract 1 from each side
9 -1<=1-1-4x<21-1
8 <= -4x < 20
Divide each side by -4. That means to flip all inequalities
8/-4 >= -4x/-4 >20/-4
-2 >=x > -5
-5 < x <=-2
simplify each product.
1.) -3p^2(5p^2+p-7)
2.) (2n-5)(n-3)
3.) (5x-3)^2
4.) (n+5)^2
5.) (j+9)(j-9)
Answer:
number 1 my fried here justin has been taken
Step-by-step explanation:
What number is an outlier for the given data? 23,34,27,7,30,26,28,31,34. A)7 B)23 C)31 D)34
Answer:
A) 7
Step-by-step explanation:
The outlier of a given data set is one that is significantly larger or smaller than the rest of the data.
In this set, most of the values are within the 25-35 range, more or less. But out of all of those numbers, one of the is too small to make sense, which is 7.
In the xy-coordinate plane shown below, point P has coordinates (8,-6). Which
of the following is an equation of the line that contains points O and P?
a. y = -x + 4
b. y = -x
c. y = x - 4
d. y=-3X
The answer will be D
The equation of the line passing through points O(0,0) and P(8,-6) is y = -3/4x.
Explanation:To find the equation of a line, we need to determine its slope and y-intercept. The slope can be found using the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are coordinates of two points on the line. In this case, we have the coordinates of points O and P: O(0,0) and P(8,-6).
The slope of the line passing through O and P is (-6 - 0) / (8 - 0) = -6 / 8 = -3 / 4.
Since the line passes through the origin (0,0), its y-intercept is 0. Therefore, the equation of the line is y = -3/4x.
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NEED HELP ASAP!! Worth 15 pts!!
Answer:
p = 1/6
Step-by-step explanation:
5/6 - 1/3 n = p(5-2n)
Multiply each side by 6 so we do not have any fractions
6(5/6 - 1/3 n) = 6*p(5-2n)
5 - 2n = 6p (5-2n)
Divide each side by (5-2n) to isolate 6p
(5-2n)/(5-2n) = 6p (5-2n)/ (5-2n)
1 = 6p
Now divide by 6 to get p alone
1/6 = 6p/6
1/6 = p
Consider the following equation. 6 ^ ( -x ) + 4 = 3x -1
Answer:
1.68
Step-by-step explanation:
1. Move all of the terms to the left side and set the problem equal to zero.
2. Set each factor equal to zero.
For this case we have the following equation:
[tex]6 ^ {- x} + 4 = 3x-1[/tex]
We must clear the value of x, we follow the steps below:
We subtract 3x on both sides of the equation:[tex]6 ^ {- x} -3x + 4 = -1[/tex]
Add 1 to both sides of the equation:
[tex]6 ^ {- x} - 3x + 4 + 1 = -1 + 1\\6 ^ {- x} - 3x + 5 = 0[/tex]
Each side of the equation is drawn, then the solution is the x value of the intersection point.
[tex]x = 1.68[/tex]
Answer:
See attached image
[tex]x = 1.68[/tex]
Algebraic Reasoning please help!
Answer:
[tex]\left[\begin{array}{ccc}7\\4\\2\end{array}\right][/tex]
The answer is a single-column matrix (7,4,2)
Step-by-step explanation:
In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,
[tex]\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7[/tex]
then...
[tex]\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4[/tex]
and
[tex]\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2[/tex]
I hope it helps.
Ty had 10 eggs. He made 4 servings of scrambled eggs. He used n eggs for each serving.
create an expression to represent the number of eggs Ty has left.
[tex]10-4n=x[/tex]
Hope this helps.
Brainliest would help me as well.
Final answer:
The number of eggs Ty has left after making 4 servings of scrambled eggs, using n eggs for each serving, is represented by the algebraic expression 10 - 4n.
Explanation:
To determine the number of eggs Ty has left after making scrambled eggs, we need to use a simple algebraic expression. If Ty started with 10 eggs and used n eggs for each of the 4 servings, we can represent the number of eggs used in total as 4n.
To find the number of eggs remaining, we subtract the total number of eggs used from the initial number of eggs:
Number of eggs remaining = Initial number of eggs - Number of eggs used
Number of eggs remaining = 10 - 4n
Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he worked 44 hours. How much did he earn last week? (Hint: double time means 2 times the regular hourly rat.)
your answer would be $405.60
The answer is 709.8 You would do 8.45 times 40 = 338 now since he did overtime you multiply it by 2. 338*2= 676. He also did another 4 hours 8.45*4=33.8 now you add these together 33.8+676 = 709.8
The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?
xy = 14 and x - y = 2
x + y = 14 and x - y = 2
x + y = 14 and y - x = 2
Answer:
B. x + y = 14 and x - y = 2
Step-by-step explanation:
Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).
Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).
I hope this helps =)
Answer:
Option B. will be the answer.
Step-by-step explanation:
If the tens digit is x and ones digit is y, then the number formed will be xy.
Now we fill form the equations as per statements given in the question.
"The difference between tens and unit digits is 2"
x - y = 2 --------(1)
"Sum of the digits of two digit number is 14"
x + y = 14 -------(2)
Therefore, system of equations will be as the given equations 1 and 2.
Option B is the answer.
central school is hosting a "central has talent" show. they will award various prizes for the best acts in the show. first place wins the most money
the answer is b and f
Answer:
b f
Step-by-step explanation:
Find the area of the rhombus.
Please help ASAP
Answer:
The area of rhombus = 195 yd²
Step-by-step explanation:
Points to remember
Area of rhombus = d₁d₂/2
Where d₁ and d₂ are the diagonals of the rhombus
To find the area of given rhombus
Here diagonals of rhombus are given
From the figure we get,
d₁ = 13 + 13 = 26 yd and
d₂ = 7.5 + 7.5 = 15 yd
Area = d₁d₂/2 = (26 * 15 )/2 = 13 * 15 = 195 yd²
Therefore the area of rhombus = 195 yd²
the cost of oranges in a grocery store is directly proportional to the number of oranges purchased. elia paid $2.52 for 6 oranges. if p represents the cost(in dollars) and n represents the number of oranges, find the unit rate
Step-by-step explanation:
6 oranges =$2.52
1 orange=$2.52/6
=$0.42
Answer:
Step-by-step explanation:
The answer is aP=0.42n
To get to that answer all you have to do is 2.52/6=0.42
6 oranges=2.52
1 oranges=0.42
Pls help!!!
So I been needing help for the past week now and my friends dk either cuz they just as dumb as me.
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\implies \stackrel{\textit{8\% of (s)ales}}{\left(\cfrac{8}{100} \right)s}\qquad \qquad \begin{cases} c=commission\\ s=total~sales \end{cases}[/tex]
[tex]\bf \stackrel{\textit{her (c)ommision is 8\% of (s)ales}}{c = \cfrac{8}{100}s\implies c=\cfrac{8s}{100}}\implies \stackrel{\textit{we know she made 2560 in commision}}{2560=\cfrac{8s}{100}\implies 256000=8s} \\\\\\ \cfrac{256000}{8}=s\implies 32000=s[/tex]