Answer:
a = -3, b = 1
Step-by-step explanation:
1. Plug in the given values into the equations:
a(-1) - b(2) = 1
a(2) + b(-1) = -7
2. Isolate a in the first equation:
a(-1) - b(2) = 1 = a · -1 - b · 2 = 1
-a - 2b = 1
-a -2b+2b = 1+2b
-a = 1 + 2b
[tex]\frac{-a}{-1} =\frac{1}{-1} +\frac{2b}{-1}[/tex]
a = -1 - 2b
3. Substitute "a = -1 - 2b" in for a in the second equation:
(-1 - 2b)2 + b(-1) = -7
4. Simplify:
-2 - 4b + b(-1) = -7
-2 - 4b -b = -7
-2 -5b = -7
5. Isolate for b:
-2+2 - 5b = -7+2
-5b = -5
[tex]\frac{-5b}{-5} =\frac{-5}{-5}[/tex]
b = 1
6. Substitute the b value into an equation to solve for a:
a = -1 -2 · 1
a = -3 · 1
a = -3
hope this helps!
What number can be added to the expression -4 - 9 to make it 0
Answer:
+ 13
Step-by-step explanation:
- 4 - 9 = - 13 then
- 13 + 13 = 0
20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize
We will see that the total number of ways in which we can distribute 20 different prizes among 180 people is:
C = 6.818e46
In how many ways the prizes can be distributed?
Here we need to count how many selections do we have. Each prize will be a selection, so we have 20 selections.
Now we need to count the numbers of 6for each selection.
For the first prize, there are 180 options.
For the second prize, there are 179 options (because one person already got a prize).
For the third prize, there are 178 options.
And so on.
The total number of combinations is given by the product between the numbers of options:
C = 180*179*178*...*161*160 = 6.818e46
If you want to learn more about combinations, you can read:
https://brainly.com/question/11732255
two number cubes, numbered 1 through 6 are rolled. What is the probability that the product of the two numbers are even
Answer:
[tex]p = \frac{3}{4}[/tex]
Step-by-step explanation:
If we roll two number cubes we can summarize the results of products in the following table (Check table in the attachment)
According to table of product:
we roll two numbers with an even product in 27 cases out of a total of 36 result.
Then The probability of rolling two numbers where their product is an even number is :
27/36 = 3/4
How do I solve this. It’s for a study guide so pls help!!
Answer: C) [tex]x\geq1\frac{1}{2}[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
[tex]4x-7\geq \frac{-12x+14}{4}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]4x-7\geq -3x +\frac{7}{2}[/tex]
Step 2: Add 3x to both sides.
[tex]4x+3x-7\geq -3x+3x +\frac{7}{2}\\7x-7\geq\frac{7}{2}[/tex]
Step 3: Add 7 to both sides.
[tex]7x-7+7\geq\frac{7}{2} +7\\7x\geq\frac{21}{2}[/tex]
Step 4: Multiply both sides by [tex]\frac{1}{7}[/tex].
[tex]7x(\frac{1}{7}) \geq\frac{21}{2} (\frac{1}{7}) \\x\geq\frac{21}{14} \\x\geq 1\frac{1}{2}[/tex]
Jala has an aquarium in the shape of a rectangular prism with the dimensions shown. What is the height of the aquarium? Round your answer to the nearest tenths place.
height = 24.4in
hope it helps...!!!
Answer:
24.4in.
Step-by-step explanation:
31.25 x 15.5 = 484.375
11818.75 / 484.375 = 24.4in.
I need awnser asappppppppppppppppppppppppppppp
A sound wave travels through iron at a rate of 3120 / s . At what rate does the sound wave travel in / h?
Answer:
11,232km/h
Step-by-step explanation:
You have 3120m/s and want kilometers per hour. There are 1000m in 1km, and 3600sec in 1h:
[tex] \frac{3120}{1} \frac{m}{s} \times \frac{1}{1000} \frac{km}{m} \times \frac{3600}{1} \frac{s}{h} [/tex]
Meters cancel. Seconds cancel. This leaves kilometers per hour:
[tex] \frac{3120 \times 3600}{1000} \frac{km}{h} = 11232 \frac{km}{h} [/tex]
We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!
Answer:
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\frac{x}{sin41}[/tex] = [tex]\frac{4.5}{sin107}[/tex]
x = [tex]\frac{4.5sin41}{sin107}[/tex] ≈ 3.1 mi
[tex]\frac{y}{sin32}[/tex] = [tex]\frac{4.5}{sin107}[/tex]
y = [tex]\frac{4.5sin32}{sin107}[/tex] ≈ 2.5 mi
Ship A is 3.1 miles from the island.
Ship B is 2.5 miles from the island.
The figure below is an example of a ____ ____ which is basically a solid that has been sliced by a plane
HELP PLEASE WORTH 23 points
Answer:
D. Cross section
Step-by-Step Explanation:
It is sliced showing the bottom part, so it is showing a cross section.
"How long does our classmates spend on homework?"
Is this question statistical?
Select one:
Yes, it is statistical.
No, it is not statistical.
Answer:
No, it's not statistical
Step-by-step explanation:
) Which point on the number line shows the position of squared 77
point A
point B
point C
point D
Please fill some for me for 100 points and Brainliest!
ASAP!
Answer:
PART ONE:
1.Most common sleep is: 8 1/2 hours of sleep.
2.There is a a outlinear in the data (6 1/2)
3. 10-6.5 = 3.5, So 3 1/2 hours diffence of sleep
4. 15 more people slept longer than 8 hours
A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q
Answer:
q = 10
Step-by-step explanation:
[tex]\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right) \times \left( -2\right) =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10[/tex]
Por cinco boletos para un concierto de rock y tres boletos para un partido de fútbol se pagaron $720 y por dos boletos para el mismo concierto y seis para el mismo partido de fútbol se pagaron $480 ¿Cuál es el valor del boleto para cada uno de los eventos?
The value of tickets for rock concert is $120 and the value of tickets for soccer match is $40.
How to calculate the value?From the information, for five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480.
Let the value of tickets for rock concert = x
Let the value of tickets for soccer match = y
Based on the information given, the equation will be:
5x + 3y = 720 .... i
2x + 6y = 480 ..... ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 6y = 1440
10x + 30y = 2400
Subtract
24y = 960
y = 960 / 24
y = 40
Therefore, x will be:
5x + 3y = 720
5x + 3(40) = 720
5x + 120 = 720
5x = 720 - 120
5x = 600
Divide
x = 600 / 5
x = 120
Learn more about equations on;
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Complete question
For five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480. What is the value of the ticket for each of the events?
A map uses the scale 3 cm for every 50 km
If Dora measures a distance of 9 cm on
the map, what is the actual distance?
Let the distance be x
3/50=9/x3x=9(50)3x=450x=450/3x=150kmfind the degrees and terms
6x⁴ + 3x² + 9 =
Answer:
3 Terms and Degree is 6
Step-by-step explanation:
3 Terms and Degree is 6
How to find degrees:
4 + 2 = 6
What is the reciprocal of 1 1/6
Answer:
6/7
Step-by-step explanation:
The reciprocal of 1 1/6 is 6/7.
Answer:
7/6
Step-by-step explanation:
to find the reciprocal of a number, you need to multiply the denominator by the whole number. once you do this, you should add that number and the numerator. leave the denominator its orginal number and your answer should be 7/6
what decimal is equivalent to 95%?
sue spent 95% of her salary for the month. If she has $1500 remaining. What is Sue's total salary for the month?
Answer:
$30,000
Step-by-step explanation:
1500 would be the remaining 5%. Simply double that, which gives you 3000, which is 10%. Adding the other 90% would make the answer be $30,000
Answer:
2925 dollars.
Step-by-step explanation:
1500 x 0.95 = 1425
1500 + 1425 = 2925
how do i do this? this two
Answer:
rectangle= 35
triangle= 15
Step-by-step explanation:
rectangle
the length is 5 the width is 7
the formula for area is 5*7
the answer is 35
triangle
the length is 5, the height 6
the formula is 1/2*6*5
the answer is 15
What is the equation for this question. Not the answer, the equation.
Answer:
[tex]c=325m[/tex]
Step-by-step explanation:
Hope this helps
solve for x or find the value of x
Answer:
10
Step-by-step explanation:
see in the attached picture...
Which of the following figures has exactly 1 line of symmetry?
D
hope it helps......!!!!!!!
Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at
$8. 50, three bags of popcorn for $1. 25 each, and two soft drinks for $1. 50 each?
3(8. 50 +1. 25 +1. 50) +5. 25 = 38. 90
1. 0525{3(8. 50 +1. 25 +1. 50)} = 35. 52
1. 0525{3(8. 50 +1. 25) +2(1. 50)} = 33. 94
3(8. 50 +1. 25 +1. 50) +. 0525 = 33. 82
O3(8. 50 +1. 25) + 2(1. 50) +. 0525 = 32. 30
Answer:
33.94
Explanation:
First start off by finding the total regardless of the 5.25 cents.
(3x8.50)+(3x1.25)+(2x1.50)=32.25
Then take that answer and multiply by your 5.25 cents per dollar
32.25x.0525 (since we're dealing with money)
then add that answer to the original 32.25
The Pythagorean Theorem describes the relationship between the lengths of the legs of any right
triangle. In a right triangle, the square of the length of the hypotenuse is equal to the sum of the
squares of the lengths of the legs. You can use the Pythagorean Theorem to find the length of a
side of a right triangle if the lengths of the other two legs are known.
Find the value of a:
.
13
a
a + b = c?
a
12
Answer:
a = 5
Step-by-step explanation:
let's label the triangle as a, b and c
where b is the hypotenuse and c is the adjacent of the hypotenuse a to be the height.
from the formula
a² + c² = b²
we substitute the values to find a
so,
a² + 12² = 13²
but we don't know "a" so we make it stand alone by grouping liked terms.
a² = 13² - 12²
a² = 25
we need "a" not "a²" so we take the square root of both sides to get rid of "a²" leaving "a"
[tex] \sqrt{ {a}^{2} } = \sqrt{25} [/tex]
and the answer will be
a = 5
PLS I NEED ANSWERS I posted this questions before but the answer that was given to me was very questionable so PLS I NEED THE ANSWERS NOW ASAP.
Answer:
Step-by-step explanation:
TOP:
2 rectangles 10x4
2 rectangles 10x3
2 rectangles 3x4
MIDDLE
1 rectangle 10x 9.4247
2 circles 9 π
BOTTOM
1 rectangle 6x15.7079
2 circles 25π
Question 5 of 5
Roshaun kept track of the number of hours that he spent
playing his saxophone each week for several weeks. He
spent 8, 2, 5, 10, and 5 hours.
What is the range of the data set?
O A. 10 hours
OB. 8 hours
O c. 5 hours
D. 6 hours
Answer number 13 please. Thank you.
Dylan, since he grew by 4 centimeters. Also, the starting number is lower, which means the percentage would also be bigger in the first place.
What is the value of log subscript 625 baseline 5? –4 negative one-fourth one-fourth 4
The value of log subscript 625 baseline 5 is 1/4.
What is a log function?The logarithmic function is an inverse function to exponentiation.
Rewrite as an equation.
[tex]\rm log_{625}{(5)} = x[/tex]
Rewrite log625 (5) = x in exponential form using the definition of a logarithm.
If x and b are positive real numbers and b does not equal 1, then log(x) = y is equivalent to b^y = x.
[tex]\rm 625^x=5[/tex]
Create expressions in the equation that all have equal bases.
[tex]\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}[/tex]
Hence, the value of log subscript 625 baseline 5 is 1/4.
To know more about the log function click the link given below.
https://brainly.com/question/15093298
Answer:
1/4
Step-by-step explanation:
Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))?
The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\dfrac{\pi}{4}[/tex]phase shift of [tex]\dfrac{\pi}{4}[/tex] to right How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y=f(x)[/tex]A, assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):[tex]y=f(x+c)[/tex]Left shift by c units: earlier)Right shift by c units: [tex]y=f(x-c)[/tex] output, but c units late)Vertical shift:Up by d units: [tex]y=f(x)+d[/tex]Down by d units: [tex]y=f(x)-d[/tex]Stretching:Vertical stretch by a factor k: [tex]y=k\times f(x)[/tex]Horizontal stretch by a factor k: [tex]y=f(\dfrac{x}{k})}[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to
[tex]y=0.35cos(8(x-\pi/4)[/tex]
We can see its vertical stretch by 0.35, right shift by horizontal stretch by 1/8
Period of cos(x) is of length. But 1.8 stretching makes its period shrink to
[tex]\dfrac{2\pi}{8}=\dfrac{\pi}{4}[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35
horizontal compression to period of (which means period of cosine is shrunk to which originally was )
phase shift of to right
Learn more about transformation of functions here:
brainly.com/question/17006186
Answer:
C on ed
Step-by-step explanation:
got it right