Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
The value of the expression 16 -2/4 is ______.
Answer:
8
Step-by-step explanation:
2/4 is equal to a half,so half of 16 is 8 so,you would do
16-8=8
It’s delta math for it
Answer:
[tex]\sqrt{x^{2}-7[/tex]
Step-by-step explanation:
Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses
We know that :
[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]
[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]
Using the above formula, we can write it as :
[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]
[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]
[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]
A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Which BEST decreases the validity of the claim? A.Only 50 cleaning services were surveyed. B.Cleaning services were selected at random. C.A well-known company conducted the survey. D.Only one cleaning product was asked about in the survey.
Answer:
D. Only one cleaning product was asked about in the survey.
Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.
Step-by-step explanation:
the other options are wrong because:
A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim. C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.Graph f(x) = x and g(x) =
and g(x) =-1/3x+2
x on the same coordinate plane.
Hey there!
Let's think of both of these functions as two different slope-intercept equations (y=mx+b). Don't let all of the fs and gs confuse you; those are just showing that they are two different functions!
Our function f has an equation of y=x, which is a diagonal line that passes through the origin and goes across each small grid on the graph diagonally.
Our function g has an equation of y=-1/3x+2, which means that it will intersect with the y-axis at two units above the origin and for every three whole steps it goes to the right, it will have gradually gone down one whole step as well.
Attached to my answer is what a graph of it would kind of look like. Sorry if the lines don't look too much like a line it's a bit difficult to draw with a mouse haha!
I hope that this helps! Have a wonderful day!
A garden hose supplies 36 gallons of water in 3 mins use a table of equivalent ratios to show the garden hoses water flow in gallons per min and min per gallon
Answer:
The answer is 12
Step-by-step explanation:
If there are 36 gallons per 3 min. To find the per min you would divide 36 by 3.
David&dan share a lottery win of £9900 in the ratio 3:2 David then shares his part between himself,his wife and their son how much more does his wife get over their son
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
David & Dan share a lottery win of £9900 in the ratio 3 : 2. David then shares his part between himself, his wife & their son in the ratio 4 : 4 : 2. How much more does his wife get over their son?
Solution:
David & Dan share a lottery win of £9900 in the ratio 3 : 2. The total ratio is 3 + 2 = 5
The amount that David got would be
3/5 × 9900 = £5940
Therefore, £5940 was shared in the ratio of 4 : 4 : 2. The total ratio is 4 + 4 + 2 = 10
The amount that his wife gets is
4/10 × 5940 = £2376
The amount that his son gets is
2/10 × 5940 = £1188
The amount that his wife gets over their son is
2376 - 1188 = £1188
what is the answer to factorise 10x - 15
Answer:
5(2x-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
10x-15 = 5(2x-3) ...the factor is : 5
what is 5 + 5 /2 - 4 x 10
Step-by-step explanation:
use bodmas
start with multiplication
-4*10 = -40
5+5/2 - 40
addition next
5 + 5/2 = 7.5
7.5 - 40 = -32.5
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
−2
⋅4
−3
)
3
left parenthesis, 4, start superscript, minus, 2, end superscript, dot, 4, start superscript, minus, 3, end superscript, right parenthesis, cubed.
\begin{aligned} &\phantom{=}\left( 4^{-2} \cdot 4^{-3} \right)^{3} \\\\ &=\left( 4^{-5} \right)^{3}&\text{Step } 1 \\\\ &=4^{-2}&\text{Step } 2 \\\\ &=\dfrac{1}{4^{2}}&\text{Step } 3 \end{aligned}
=(4
−2
⋅4
−3
)
3
=(4
−5
)
3
=4
−2
=
4
2
1
Step 1
Step 2
Step 3
Did Chris make a mistake? If so, in which step?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Chris did not make a mistake.
(Choice B)
B
Chris made a mistake in Step 1.
(Choice C)
C
Chris made a mistake in Step 2.
(Choice D)
D
Chris made a mistake in Step 3.
We have been given an expression [tex]\left( 4^{-2} \cdot 4^{-3} \right)^{3}[/tex]. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.
Let us simplify our given expression.
Using exponent property, [tex]a^m\cdot a^n=a^{m+n}[/tex], we cab rewrite our given expression as:
[tex]\left( 4^{-2+(-3)} \right)^{3}[/tex]
[tex]\left( 4^{-5} \right)^{3}[/tex]
Now we will use exponent property [tex](a^m)^n=a^{m\cdot n}[/tex]to further simplify our expression.
[tex]\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}[/tex]
[tex]\left( 4^{-5} \right)^{3}= 4^{-15}[/tex]
Therefore, Chris made mistake in step 2.
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
x is equal to -2.8
Step-by-step explanation:
2(x-4)=4x+3x+6=
2x-8=7x+6
Subtract 2x from both sides
-8=5x+6
Subtract 6 from both sides
-14=5x
x=-2.8
Answer:
-14/5
Step-by-step explanation:
when opening the RHS bracket.
we will get 2x-8
further solving,
2x-8= 7x+6
then rearranging,
2x-7x= 6+8
-5x=14
so x= -14/5
If Quadrilateral JKLM is a square, where points J(0, 5), K(4, 7), L(?, ?) and M(2, 1) are known. Find the coordinates of point L
Group of answer choices
(7, 2)
(6, 3)
(5, 4)
(4, 4)
Answer:
THANKS FOR THE POINTS ^^^^
Step-by-step explanation:
(6,3)
find the value of y squared when y is -9
Answer:
81
Step-by-step explanation:
-9^2, or -9 times -9 equals 81, the negatives cancel each other out
Your answer would be 81.
The calculation the question is asking us to do is y², but substitute in y for -9. This gives us (-9)². We know that 9² = 81, but (-9)² also equals 81 because when you multiply 2 negative numbers together, the negative sign cancels out.
I hope this helps!
Someone please help me
Answer:
x=6
Step-by-step explanation:
convert the mixed number to a improper fraction..then multiply both sides of the equation by 6...collect like terms..then divide both sides by 37..then you should get your answer...
Oil flows into a tank according to the rate F of t equals the quotient of t squared plus 1 and the quantity 1 plus t , and at the same time empties out at the rate E of t equals the quotient of the natural log of the quantity t plus 7 and the quantity t plus 2 , with both F(t) and E(t) measured in gallons per minute. How much oil, to the nearest gallon, is in the tank at time t = 12 minutes. You must show your setup but can use your calculator for all evaluations.
Answer: 10.94 gallons
Step-by-step explanation:
The rate of flow is given by the equation:
F(t) = (t^2+1) / (t + 1)
The rate at which it empties:
E(t) = ln (t + 7) / (t + 2)
Where t represr ts time in both equations
Amount of oil, to the nearest gallon, is in the tank at time t = 12 minutes
We can get this by taking the difference of both equations since it is occurring at the same time 't'
That is : F(t) - E(t)
At t= 12
[ (t^2+1) / (t + 1) ] - [ ln (t + 7) / (t + 2) ]
F(12) = (12^2 + 1) / (12 + 1) = 145/13 = 11.1538
E(12) = In(12 +7) / (12 + 2) = In(19) / 14 =
E(12) = 2.9444389 / 14 = 0.2103
F(t) - E(t) = (11.1538 - 0.2103) = 10.9435 gallons
Measure of angle r is 22. Find the measure of angle 0
How to determine the function with the graph?
what is k if k-3/4 = 10
Answer:
Move all terms not containing k to the right side of the equation.
Exact Form:
k = 43/4
Decimal Form: k = 10.75
Mixed Number Form:
k = 10 3/4
Correct answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$39
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 30 × 10/100 × 3
I = $9
She have = 30 + 9 = $39
There are 20 marbles in a jar. There are 6 red marbles, 3 green marbles, and the rest are purple. What is the probability of getting a purple marble if you take a marble out of the bag
Answer:
55% probability of getting a purple marble if you take a marble out of the bag
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
20 marbles.
6 are red.
3 are green
The rest(x) are purple.
So
6 + 3 + x = 20
x = 11
20 marbles, of which 11 are purple.
11/20 = 0.55
55% probability of getting a purple marble if you take a marble out of the bag
Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?
Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
What is the arc length of the shaded region to the nearest tenth?
Answer:
285
Step-by-step explanation:
The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.
We also know that the area of the circle is [tex]\pi r^{2}[/tex] but we are finding a portion of that, therefore we would need to multiply it by [tex](\frac{270}{360} )[/tex]. The radius is also given which is 11.
Area of the shaded region = [tex](\frac{270}{360}) * \pi 11^{2}[/tex] = 285
16.8=2.4e
find the value of E
Answer:
[tex]e = 7[/tex]
Step-by-step explanation:
[tex]16.8 = 2.4e \\ \frac{16.8}{2.4} = \frac{2.4e}{2.4} \\ \: \: \: \: \: 7 = e[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If f(x) = 22 + 2x – 10, what is f(-2)?
-16
-10
Answer:
idkfin4infiotnoitrnin
Step-by-step explanation:
bye
simplify (3mn)4 (with work please)
Answer:
12mn
Step-by-step explanation:
Just multiply 4 by 3
There’s three answers
Answer:
D
E
F
Step-by-step explanation:
Because as long as they stay the same they can just be mixed.
Follow the steps to find the value of x.
1. Addition property of equality. One-fifth (x) minus two-thirds = four-thirds. One-fifth (x) minus two-thirds + two-thirds = four-thirds + two-thirds. 2. Multiplicative property of equality. One-fifth (x) (StartFraction 5 over 1 EndFraction) = StartFraction 6 over 3 EndFraction (StartFraction 5 over 1 EndFraction)
The solution is x =
.
Answer:
x=10
is the solution
..............
Answer:
10
Step-by-step explanation:
It's right in Edgen
8 − (−11) = ? ..................................................................................................................
Answer:
+19
Step-by-step explanation:
8-(-11)= 8+11
8-(-11)=+19
Answer:
19
Step-by-step explanation:
8 - ( -11) =
8 + 11 =
19
The two negatives combine to make a positive.
A shipment of fifteen smartphones contains seven with cracked screens. If sold in a random order. What is the probability that exactly five of the first nine sold have cracked screens
Answer:
29.37% probability that exactly five of the first nine sold have cracked screens
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the smartphones are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
5 with cracked screens, from a set of 7.
9-5 = 4 with good screens, from a set of 15-7 = 8.
So
[tex]D = C_{7,5}*C_{8,4} = \frac{7!}{5!(7-5)!}*\frac{8!}{4!(8-4)!} = 1470[/tex]
Total outcomes:
Nine phones, from a set of 15. So
[tex]T = C_{15,9} = \frac{15!}{9!(15-9)!} = 5005[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1470}{5005} = 0.2937[/tex]
29.37% probability that exactly five of the first nine sold have cracked screens
What are the solutions to the equation (x-a)(x+b)=0?
A. a and b
B. -a and -b
C. a and -b
D. -a and b
Answer:
yo that a hard question i honeslty dont know
Step-by-step explanation:
Points A, B, and C lie on circle M such that
mABC = 262 . Find the measure of ∠ABC .
PLEASE HELPPPP
Answer:
i need help to with this Qestion to
Step-by-step explanation:
