Answer:
No Solution.
Step-by-step explanation:
For starters, here are our two equations:
[tex](x^2-x-6)>0[/tex]
[tex]10-2x<5[/tex]
The first option is to solve for x in our second equation. First, we add 2x to both sides to get [tex]10<5+2x[/tex]. Then, we subtract 5 from both sides to get [tex]2x<5[/tex]. Finally, we divide both sides by 2 to get [tex]x<2.5[/tex]. We can plug in 2.5 into our second equation to test if it works. If it does not work, then anything less than 2.5 won't work, and the solution would be impossible.
Now we can plug in our values into our first equation. We now have the equation [tex]2.5^2-2.5-6>0[/tex]. We can simplify to get [tex]-2.25>0[/tex]. This test failed, so there are no solutions. A solution would be impossible.
2. Katryn swims at a rate of 50 meters in 40 seconds. At this rate, how many meters
can she swim in 1 minute?
a. 1.25 meters
b. 60 meters
c. 70 meters
d. 75 meters
Answer:
D.) 75 meters
Step-by-step explanation:
1 minute is 60 seconds
So, you divide 60 divided by 40=1.5
1.5 times 50=75
75 meters
D.)
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a nice day/night/afternoon!!!
The expression 6a-14-a+7 simplifies to
Missy's rotation maps point K(17,-12) at K(12,17) which describes to the rotation
Answer:
90 degree counter clockwise rotation.
Answer:
90 degree counter-clockwise rotation.
Help pls 6th grade math i will give brainliest
Answer:
G.
Step-by-step explanation:
It doesn't matter if you switch what is inside the parentheses, as long as you don't put it outside or switch around the equation.
(hope this helps!)
Determine the geometric mean of 45 and 15
The solution is, The geometric mean of 45 and 15 is 25.98.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
here, we have,
We are given two numbers as 45 and 15.
Formula for geometric mean is
G.M = √x₁ × ... × xₐ
So, using this we get
⇒G.M = √45 × 15
⇒G.M = √675
⇒G.M = 25.98
Hence, the geometric mean of 45 and 15 is 25.98.
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Find the x and y intercepts of the line. 4x-2y=16 need in 5-to minutes PLEASE
In office spends $375 per month on office supplies the manager wants the company to decrease office supply costs by 16% how much money would that save them each month
Answer:
$60
Step-by-step explanation:
The computation of the money saved each month is shown below:
= Spending per month × decrease office supply percentage
= $375 × 16%
= $60
The office supplies after given percentage is
= $375 - $60
= $315
So the money that saved each month is $60
HELP!!
Ann works 3.5 hours per day 3 days per week. If Ann
earns $6.50 per hour, how much money will she earn
during a 7-week period?
F. $487.25
G. $477.75
H. $432.25
J. $144.00
K. $123.50
Answer:
G. 477.75
Step-by-step explanation:
can u please answer this sme one
Answer:
Samir wins by 20 seconds
Step-by-step explanation:
Answer:
Samir= 2 minutes and 30 seconds
Dan= 130= 2 minutes and 10 seconds
Step-by-step explanation:
Yep
A day of the week is chosen at random what is the probability of choosing ?
Answer:
chossing what? every day of the week can be chossen with 1/5 probablity
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are two days of the week that starts with S. That's already 2/7. But , we add on Monday and that gives us 3/7
The probability of the day being chosen as Monday or Saturday or Sunday is 3/7.
PLEASE MARK ME AS BRAINLIEST
4x + y = 24
y=-4x+24
Substitution
Step-by-step explanation:
4x -24=-y
-24-4x=y
then do calculation
Answer:
infinite solutions
Step-by-step explanation:
substitute y in the first equation
4x+(-4x+24)=24
4x and -4x cancel out
24/24=1
or solve for x, you should also get 1
therefore, infinite solutions. you can also try using a graphing calculator
Determina la pendiente y el ángulo de la recta tangente a la función f(x)=x2-8x+16 en el punto a(6,4)
Answer:
[tex]4[/tex]
[tex]75.96^{\circ}[/tex]
Step-by-step explanation:
La función es
[tex]f(x)=x^2-8x+16[/tex]
La derivada de la ecuación nos da la tangente
[tex]f'(x)=2x-8[/tex]
El punto es [tex](6,4)[/tex]
Entonces en [tex]x=6[/tex]
[tex]f'(6)=2\times 6-8=4[/tex]
La pendiente de la tangente es [tex]4[/tex].
El ángulo de la pendiente está dado por
[tex]\tan\theta=m\\\Rightarrow \theta=\tan{-1}m\\\Rightarrow \theta=\tan^{-1}4\\\Rightarrow \theta=75.96^{\circ}[/tex]
El ángulo que forma la tangente con el eje x positivo es [tex]75.96^{\circ}[/tex]
In 2007 you weighed 207 pounds. In 2008 you weighed 198 pounds, and in 2009 you
weighed 185 pounds. How many pounds did you lose from 2007 to 2009?
Answer:
Its 22 pounds lost
Step-by-step explanation:
you subtract 198 from 207 and then subtract 185 from 198 then add both of the anwsers that you got
here is a list of four fractions 1/16 2/8 15/60 3/9
one of these are not equivalent to 1/4
write down this fraction
Answer:
3/9
Step-by-step explanation:
15*4= 60 so 15/60 is equivalent to 1/4.
1/16 is just a smaller equivalent of 2/8 which is just a smaller equivaent of 1/4.
3/9 simplified is 1/3. I/s is bigger than 1/4.
Hope this helps
Answer:
3/9
Step-by-step explanation:
[tex]\frac{1}{4}\cdot\frac{4}{4}=\frac{4}{16}\\\\\frac{1}{4}\cdot\frac{2}{2}=\frac{2}{8}\\\\\frac{1}{4}\cdot\frac{15}{15}=\frac{15}{60}[/tex]
We can turn 1/4 into all of the first three fractions by multiplying it by some version of 1, but we can't do the same for 3/9: trying to multiply 1/4 by 3/3 will get us a different fraction: 3/12. Additionally, 3/9 in lowest form is 1/3, and 1/3 is clearly not equal to 1/4.
What is 6-32/3 With step by step explain
Answer:
-4.6 hope this helps
Step-by-step explanation:
Please help I’m so bad at this :/
Answer:
3a+33
Step-by-step explanation:
Add 2a+1 to a+32
An accountant gets paid $150 for each tax return she prepares and her goal is to earn $6,750 preparing tax returns during this tax season if she has already prepared three tax returns as taxis and how many more tax returns must be prepared in order to reach her goal
Answer: 42
Step-by-step explanation:
First you have to subtract 450 from 6750 to get 6300
Second you have to figure out how many tax returns you have to make by dividing 6300 by 14 to get 450
Third you have to do 6300 / 42 to get 150 so if you times 150x 42 equals 6300.
2) Find the missing measure. Show your work.
X =
130°
Answer:
The missing angle I believe is 25%.
Step-by-step explanation:
180-130=50
Divide 50 by 2 and it equals 25. 25 degrees for each angles.
Answer:25
Step-by-step explanation:
alright so the triangle theorem states that all of the angles of a triangle add up to 180. we already of 130 so we take away 130 from 180 to get 50. If you see the two little lines on the triangles sides opposite of the two angles that we are missing then you can tell by those lines that the angles opposite of them are equal to each other. So you divide 2 from 50 to get 25 which is the value of x. Hope you understand this (:
What will it cost to buy a rectangular window with a length of 10ft and a width of 13ft? The cost per square foot for this type of window is $7.02 per square foot.
Answer:i need points
Step-by-step explanation:
The cost to buy the rectangular window is $ 912.60
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the cost to buy rectangular window be represented as A
Now , the value of A is
The length of the rectangular window be L = 10 feet
The width of the rectangular window be W = 13 feet
Let the cost per square foot be c = $ 7.02
Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of rectangular window = 10 x 13 = 130 feet²
The cost to buy the rectangular window A = 130 x cost per square foot
Substituting the values in the equation , we get
The cost to buy the rectangular window A = 130 x 7.02
The cost to buy the rectangular window A = $ 912.60
Hence , the cost to buy the window is $ 912.60
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Quick I need to finish this in 5 minutes****only fractions
please help :c
the first word is find
Answer:
The values of [tex]r_{2}[/tex] and [tex]\alpha_{2}[/tex] are 2 and 150º.
Step-by-step explanation:
The complete statement is:
Find [tex]\alpha_{2}[/tex] and [tex]r_{2}[/tex] such that [tex]\sin \theta - \sqrt{3}\cdot \cos \theta = r_{2}\cdot \cos (\theta - \alpha_{2})[/tex].
We proceed to use the following trigonometric identity:
[tex]\cos (\theta - \alpha_{2}) = \cos \theta \cdot \cos \alpha_{2} +\sin \theta \cdot \sin \alpha_{2}[/tex] (1)
[tex]\sin \theta -\sqrt{3}\cdot \cos \theta = r_{2}\cdot \cos \theta \cdot \cos \alpha_{2}+r_{2}\cdot \sin \theta \cdot \sin \alpha_{2}[/tex]
By direct comparison we derive these expressions:
[tex]r_{2}\cdot \sin \alpha_{2} = 1[/tex] (2)
[tex]r_{2}\cdot \cos \alpha_{2} = -\sqrt{3}[/tex] (3)
By dividing (2) by (3), we have the following formula:
[tex]\tan \alpha_{2} = -\frac{1}{\sqrt{3}}[/tex]
[tex]\tan \alpha_{2} = -\frac{\sqrt{3}}{3}[/tex]
The tangent function is negative at second and fourth quadrants. That is:
[tex]\alpha_{2} = \tan^{-1} \left(-\frac{\sqrt{3}}{3} \right)[/tex]
There are at least two solutions:
[tex]\alpha_{2,1} = 150^{\circ}[/tex], [tex]\alpha_{2,2} = 330^{\circ}[/tex]
And the value of [tex]r_{2}[/tex]:
[tex]r_{2}^{2}\cdot \sin^{2}\alpha_{2} + r_{2}^{2}\cdot \cos^{2}\alpha_{2} = 4[/tex]
[tex]r_{2}^{2} = 4[/tex]
[tex]r_{2} = 2[/tex]
The values of [tex]r_{2}[/tex] and [tex]\alpha_{2}[/tex] are 2 and 150º.
Solve for x. Enter the solutions from least to greatest.
(x+7)^2 −49=0
Help plz
Answer:
x=0
Step-by-step explanation:
We can first add 49 to both sides to get (x+7)^2=49
We can then take the square root of both sides and get x+7=7
Subtract 7 to both sides and you get x=0
Answer:
[tex]x=-14\text{ and } x=0[/tex]
Step-by-step explanation:
We are given:
[tex](x+7)^2-49=0[/tex]
And we want to solve for x.
First, we can add 49 to both sides:
[tex](x+7)^2=49[/tex]
Now, we can take the square root of both sides. Since we are taking an even root, we will need plus-minus. Hence:
[tex]x+7=\pm\sqrt{49}[/tex]
Evaluate:
[tex]x+7=\pm7[/tex]
Subtract 7 from both sides:
[tex]x=-7\pm7[/tex]
So, we have two solutions:
[tex]x=-7+7\text{ and } x=-7-7[/tex]
Evaluate:
[tex]x=0\text{ and } x=-14[/tex]
So, from least to greatest, our solutions are:
[tex]x=-14\text{ and } x=0[/tex]
Help please this is urgent!!! Worth a lot of points and if you answer all and they ere right u will get 5 stars and brainlyest!!! Please helppp!!!!!
In the following image, is parallel to , and is a transversal intersecting both parallel lines.
and the angle marked q° are angles.
The angles marked p° and q° are
The angle marked p° and are angles.
The angles marked q° and n° are angles.
The angles marked n° and m° are angles.
the answers for all of them are one of these
supplementary
corresponding
complementary
vertical
Ad number three for and five have adjacent as an answer. try to answer all please
Answer:
1: corresponding
2: supplementary
3: complementary
4: vertical
Step-by-step explanation:
Answer:
1: corresponding
2: supplementary
3: complementary
4: vertical
Step-by-step explanation:
What is the area of the irregular polygon QUART?
Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an² + bn + c.
1, 11, 27 and 49
Find the values of a, b and c.
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
The measure of a, b and c is 3, 1 and - 3 respectively.
What is a quadratic sequence?A quadratic sequence is a sequence whose nth term is given by the general formula -
A{n} = an² + bn + c.
Given are the 4 terms of the quadratic sequence as 1, 11, 27 and 49.
Now, we can the following equations as -
A{1} = a + b + c = 1
a + b + c = 1
c = 1 - a - b ........ Eq[1]
A{2} = 4a + 2b + c = 11
4a + 2b + c = 11
c = 11 - 4a - 2b ........ Eq[2]
A{3} = 9a + 3b + c = 27
9a + 3b + c = 27
c = 27 - 9a - 3b ........ Eq[3]
A{4} = 16a + 4b + c = 49
16a + 4b + c = 49
c = 49 - 16a - 4b ........ Eq[4]
Equate Eq[1] and Eq[2] -
1 - a - b = 11 - 4a - 2b
1 - 11 = - 4a - 2b + a + b
- 10 = - 3a - b
3a + b = 10 ........... Eq[5]
Equate Eq[3] and Eq[4] -
27 - 9a - 3b = 49 - 16a - 4b
- 9a - 3b + 16a + 4b = 49 - 27
7a + b = 22 .......... Eq[6]
We can write -
7a + 10 - 3a = 22
4a + 10 = 22
4a = 12
a = 3
and
b = 10 - 3a
b = 10 - 9
b = 1
At last -
c = 1 - a - b
c = 1 - 3 - 1
c = - 3
Therefore, the measure of a, b and c is 3, 1 and - 3 respectively.
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Is this set of ordered pairs a function?
{(1, 1), (2,3), (3, 4), (4, 2), (5, 1)} A
Answer:
yes that is
Step-by-step explanation:
Mr. Brown borrows $2,500 from his bank to buy a used car. The loan has a 5.4% annual simple interest rate. If it takes Mr. Brown 9 months to pay back the loan, how much interest will he be paying?
Answer:
2770
Step-by-step explanation:
Hellllllllllppppppppppp
Answer:
8.
Step-by-step explanation: Start at 8 and go up until 15. boom, you hit the dot at 15. Simple.
how many sides does a polygon have if the measure of each exterior angle is 18? what is the sum of the measures of the interior angles?
9514 1404 393
Answer:
20 sides3240°Step-by-step explanation:
The sum of measures of exterior angles is 360°, so the number of sides (n) can be found from ...
18° × n = 360°
n = 360/18 = 20
The polygon has 20 sides.
__
The sum of measures of interior angles will be ...
20(180° -18°) = 3240° . . . . sum of interior angles
Cómo simplifico [tex]x^{2} -2[/tex] ???
Answer:
x = -1
Step-by-step explanation:
you try to get x by itself in this case I devided x/2 and -2/2
