A system of equations is shown.
`4x + 3y = 8`
`4x` `–` `3y =` `-16`
Question:
What is the value of
x
?
Answer:
x = -1
y = 4
Step-by-step explanation:
Why are there so many ''' in your question? Do they have any signifigance?
The value of [tex]x[/tex] of the system of equations will be [tex]-1[/tex].
What is system of equations?System of equations is a finite set of equations for which common solutions are sought.
We have,
[tex]4x + 3y = 8[/tex]
[tex]4x-3y = -16[/tex]
So,
Using the linear combination method,
i.e. adding the given equations,
[tex]4x + 3y = 8[/tex]
[tex]4x-3y = -16[/tex]
We get,
[tex]8x=-8[/tex]
⇒
[tex]x=-1[/tex]
So, value of [tex]x[/tex] is [tex]-1[/tex] .
Hence, we can say that the value of [tex]x[/tex] of the system of equations will be [tex]-1[/tex].
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Does anyone know the answer to this , its math inequalities
48 > -6x
Answer:
[tex]x > - 8[/tex]
Step-by-step explanation:
Swap the sides of the inequality and flip the inequality sign:
[tex] - 6x < 48[/tex]
Divide both side of the inequality by -6 and flip the inequality sign:
[tex]x > - 8[/tex]
[tex]48 > - 6x \\ \\ \\ Change \: The \: Sides \\ Of \: Value \: With \: Signs \\ \\ \implies - 6x < 48 \\ \\ \implies \: x > - 8[/tex]
Hope This Helps You ❤️If the graph of f(x) = |x| is shifted up 5 units, what would be the equation of the new graph?
A. g(x) = |x + 5|
B. g(x) = |x| + 5
C. g(x) = |x| - 5
D. g(x) = |x - 5|
Answer:
B. g(x)= |x| + 5
Step-by-step explanation:
-5 represents a vertical shift down, so that narrows it down to either A or B. A shows a shift across the horizontal (X) axis, so it must be B.
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
Rotation
Step-by-step explanation:
Its not a dilation because that is making a shape bigger or smaller, assuming you can only do one it cant be a reflection. and none is wrong. so It has to be rotation
find the value of x in the triangle shown below.
Answer:
62°
Step-by-step explanation:
In an isosceles triangle, angle opposite to equal sides are equal.
So according to angle sum property :
x + x + 56 = 180
2x + 56 = 180
x = 180 - 56 /2
x = 62°
One recipe makes 8 1/2 cups of potato salad. If one serving is 1/2 cup, how many servings does the recipe make?
Answer:
17
Step-by-step explanation:
8.5 / 0.5
A square pyramid has a volume of 864 in. The height of the pyramid is 18 in. What is the length of one of the side
of the base?
HELP
I really need it
Answer:
The dimensions of the rectangle are:
2a^2b^2 and 3ab^2 + 5a + 7b
Step-by-step explanation:
The question is asking for the length and width of the rectangle, and gives you an equation that shows the area of the rectangle. It says to factor out the GCF to find these dimensions. In simpler terms, the question wants you to divide the equation for the area, 6^3b^4 + 14a^2b^3 + 10a^3b^2, into two different equations for the length and width, which can't be divided more.
We have three terms to find the greatest common factor (GCF) of. 6^3b^4, 14a^2b^3, and 10a^3b^2. First, let's factor out the 2. This leaves us with
2(3^3b^4 + 7a^2b^3 + 5a^3b^2)
It seems like we're done with factoring out coefficients, for 3, 5, and 7 are all prime. Now, variables. Each term has a factor of a^2b^2. (not more, for this is the limit of 14a^2b^2.)
2a^2b^2(3ab^2 + 7b + 5a) . (this is the same as the answer above, but I changed the order of 7b and 5a there because some online things are specific and don't like it if you don't put the equations in order.)
And that's it!
What is the total volume of this composite shape? Round your answer to the nearest tenth.
A freshly isolatedsample of 90Y was found to have an activity of 8.9 x 105 disintegrations per minute at 1:00pm on December 3, 2003. At 2:15pm on Dec, 17, 2003, its activity was redetermined and found to be 2.6 x 104 disintegrations per minute. Calculate the half-life of 90Y.
Answer:
3960 minutes
Step-by-step explanation:
From;
0.693/t1/2 = 2.303/t log No/N
t1/2 = half life of 90Y
No = initial activity of 90Y = 8.9 x 10^5 disintegrations per minute
N= activity of 90Y after time t = 2.6 x 10^4 disintegrations per minute
t = time taken
Since the time elapsed is 20,235 minutes, we substitute into the formula above.
0.693/t1/2 = 2.303/20235 log 8.9 x 10^5/2.6 x 10^4
0.693/t1/2 = 1.75 * 10^-4
t1/2 = 0.693/ 1.75 * 10^-4
t1/2 = 3960 minutes
Fatia types 5 pages in the same
amount of time that Mya types 7.5
pages. If Fatia and Mya start
typing at the same time, how many
pages will Mya have typed when
Fatia has typed 13 pages?
Find dy/dx if f(x) = x²+9²
Answer:
let y=x²+9²
dy/dx=dx²/dx+d9²/dx
=[tex]2 x^{2-1}+0[/tex]
=2x is a required answer.
how to go in minutes from hours and hours to minutes answer in picture welcome in advance
Answer:
trick:
1 hour = 60 minutes
ex if said to convert 25 minutes to hour so
1 hour/60=1minutes
multiply both sides with 25
25 x 1hour/60=25minutes
5/12 hours=25 minutes
just like that for hour
hi what is the answerr??
Given:
The rule of input and output function is:
[tex]25-g[/tex]
To find:
The answer if we put 19.
Solution:
Consider the input and output function is:
[tex]f(g)=25-g[/tex]
Substitute [tex]g=19[/tex], we get
[tex]f(19)=25-19[/tex]
[tex]f(19)=6[/tex]
Therefore, the required answer is 6.
If tan m =
and tan n = -6, what is the exact value of tan(m + n)?
Answer:
Look below:)
Step-by-step explanation:
you plug in -6 for tan m and tan n
put in your calacuator tan (-6+-6)
then you will get your answer
Assistance please please please
Answer:
x = 12
Step-by-step explanation:
You can solve this problem by using ratios of corresponding sides.
Calculate sales tax using the following information:
Taxable amount of the sale: $125
Sales tax percentage: 6.5%
What is the amount of the sales tax?
Round the answer to the nearest cent (hundredths).
Answer:
8.13
Step-by-step explanation:
125 x .065 = 8.13
Jared bought 7 cans of paint. A can of red paint costs $3.75. A can of black paint costs $2.75. Jared spent $22.25 in all. How many cans of black (b) and how many cans of red (r) did he buy? r+b=7 3.75r+2.75b=22.25 [?] red [ black Enter
Answer:
b = 4
r = 3
Step-by-step explanation:
r + b = 7
solve for 'r' to get r = 7-b
now substitute '7-b' for r in the second equation:
3.75(7-b) + 2.75b = 22.25
26.25 - 3.75b + 2.75b = 22.25
-b = -4
b = 4
r = 3
Jared bought 3 cans of red paint (r = 3) and 4 cans of black paint (b = 4).
To solve this problem, using algebraic equations. Jared recently bought cans of red and black paint, and we want to find out how many cans of each color he purchased. We know that the cost of a red can is $3.75, the cost of a black can is $2.75, and Jared spent a total of $22.25 on the paint. We will set up two equations based on the given information and solve them simultaneously to find the values of "r" (number of red cans) and "b" (number of black cans).
Let's use the following variables:
r : Number of red cans purchased
b : Number of black cans purchased
Now, we can set up two equations based on the information given in the problem:
1. The total number of cans purchased:
Since Jared bought 7 cans in total, we can write this as:
r + b = 7 ... (Equation 1)
2. The total cost of the cans:
The cost of each red can is $3.75, so the total cost of all red cans is 3.75r. The cost of each black can is $2.75, so the total cost of all black cans is 2.75b. Jared spent a total of $22.25, so we can write this as:
3.75r + 2.75b = 22.25 ... (Equation 2)
Now, we have a system of two equations with two variables. We will use the method of substitution or elimination to solve for r and b.
Using substitution, we can rearrange Equation 1 to solve for r:
r = 7 - b
Now, we can substitute this value of r into Equation 2:
3.75(7 - b) + 2.75b = 22.25
Next, distribute and simplify the equation:
26.25 - 3.75b + 2.75b = 22.25
Combine the b terms:
-1b = 22.25 - 26.25
Simplify further:
-1b = -4
Finally, divide both sides by -1 to find the value of b:
b = 4
Now that we have the value of b, we can find r by substituting the value of b into Equation 1:
r + 4 = 7
Subtract 4 from both sides:
r = 7 - 4
r = 3
Therefore, Jared bought 3 cans of red paint (r = 3) and 4 cans of black paint (b = 4).
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In a vase, 30% of the flowers are daisies. There are 21 daisies in the vase. How many flowers are there in the vase?
log(x)²=(logx)², find the value of x
Answer:
x = 7.39
Step-by-step explanation:
log(x)²=(logx)², find the value of x
log x² = log x * log x
2log x = log x * log x
2 = log x
Take the exponent pf both sides
e² = e^logx
e² = x
x = e²
x = 7.39
QUICK WHATS THE ANSWER!!!!
Answer:
It’s triangular prism
Step-by-step explanation:
In a lab experiment, 610 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 23 hours. How long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present?
Answer:
It would take 19 hours and 36 minutes until there are 1040 bacteria present.
Step-by-step explanation:
Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:
610X = 1040
X = 1040/610
X = 1.7049
2 = 23
1.7049 = X
1.7049 x 23/2 = X
39.2131 / 2 = X
19.6 = X
100 = 60
60 = X
60 x 60/100 = X
36 = X
Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.
oduced the test statistic χ2=8.95 with a corresponding p-value of 0.03. Which of the following is correct? There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. Answer A: There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p -value. A
Answer:
The null hypothesis must be rejected
Step-by-step explanation:
Here the P value is less than 0.05
which means that the test results are statistically significant and there are sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.
Hence, the null hypothesis must be rejected.
What is mzDHE? I NEED HELP
Answer: sum of ZABC and ZCBD
HELPPPPPPPPOPP MEEEEEEEEEEEE
Answer:
4
Step-by-step explanation:
okay . so everything seems to be to the second power.
-1 to the second power = -1
3 x 3 = 9
-1 + 9 = 8 + -1 = 7
7 - 3 = 4
Answer:
6
Step-by-step explanation:
you can solve it on a T84 calculator. Just rewrite the equation with the variable's equivalent values.
I rewrote it as -1^2+3^2+1-3 and got 6. If you don't own a T84 calculator there are apps for it as well as websites for your laptop or pc. They can be very handy in a pinch!
Given f(x)= 3x+2, what is the Inverse Function?
Answer:
Step-by-step explanation:
For this case we must determine the inverse of the following function:
[tex]f(x)=3x-2[/tex]
Step 1:
We would write
[tex]y=f(x)[/tex] or [tex]y=3x-2[/tex]
Step 2:
We clear x:
[tex]y+2=3x[/tex]
[tex]\frac{y+2}{3}=x[/tex]
Step 3:
"x" and "y" are exchanged:
[tex]y=\frac{x+2}{3}[/tex]
The inverse is:
[tex]f^{-1}(x)=\frac{x+2}{3}[/tex]
difference between apr and interest rate
Hal earned $56.50 for dog sitting last month. Liz earned $87.00. How much more did Liz earn than Hal? (20 points)
Answer:
Liz made $30.50 more than Hal
Step-by-step explanation:
87.00
- 56.50
________
30.50
or
87.00-56.50=30.50
Please help!! Urgent!
Answer:
[tex] log_{3}( {x}^{3} + {2x}^{2})[/tex]
Answer:
Answer:
log_{3}( {x}^{3} + {2x}^{2})log
3
(x
3
+2x
2
In a right triangle, which of the following is the value of the missing side b if a = 5 cm and the hypotenuse is c = 13 cm?
Answer:
hi there so if a = 5cm b =12cm c=13cm the area is 30cm the perimeter 30cm
Step-by-step explanation: