Solving Systems of Equations using substitution
Y= -6x - 10
Y= x + 4

Answers

Answer 1
Substituting y in equation 2,
-6x-10=x+4
-6x-x=14
-7x=14
x=-2

Substituting x in equation 2,
y=(-2)+4
y=2

Related Questions

Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.

Which inequality can be used to find the possible values for d?

Answers

Answer:

d ≤ 30

Step-by-step explanation:

40 - 10 = 30

she will be able to spend at most 30 dollars

5th grade math. correct answer will be marked brainliest.

Answers

20.5 is your answer
Explanation:
The change of y is increasing by 5 so to get the .5 months you divide 5 by 2 and that gives you 2.5 and then you add that 2.5 with 18 which gives you 20.5 sorry I am not good at explaining.

Suppose that, on the average, 1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend. If there are 600 graduating seniors in a particular class, what is the probability that not more than 650 parents will attend the graduation ceremony

Answers

Answer:

0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.

Step-by-step explanation:

To solve this question, we need to know the Poisson and the normal distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]

1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.

There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:

[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]

And

[tex]\sigma = \sqrt{600}[/tex]

What is the probability that not more than 650 parents will attend the graduation ceremony?

Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]

[tex]Z = 2.06[/tex]

[tex]Z = 2.06[/tex] has a pvalue of 0.9803.

0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.

If sin(2)=cos⁡(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°

Answers

Answer:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9

Step-by-step explanation:

jk its c

how do I find the length of CA​

Answers

You can just do Pythagorean Theorem,
C^2= a^2 + b^2
C^2= 17.6^2 + 21^2
C^2= 309.76 + 441
C^2= 750.76
Square root 750.76
C= 27.4 cm

CA= 27.4cm

Help! I’ll reward brainest its pretty easy

Answers

Answer:

$5250

Step-by-step explanation:

multiply the cost by the number of people

Answer:

The answer is 5250

Step-by-step explanation:

Add 20 plus ten which is thirty then multiply that buy 175 which is 5250$

balance the equation showing all 6 steps. 200=g-180

Answers

Answer:

g = 380

Step-by-step explanation:

200 = g - 180

You add 180 to both sides

200 + 180 = g

380 = g

Hope that helps!

For a rhombus, which of the following statements are true? (select all that apply)

1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent

Answers

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

Which function is increasing and has a domain of (1, 0);
A. f(t) = log(t – 1) + 2
B. f(x) = -log(x - 1) + 2
C. f(t) = log(x - 2) + 1
D. f(x) = -log(x - 2) + 1

Answers

The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

The question is incomplete.

The complete question is:

Which function is increasing and has a domain of (1, ∞);

A. f(t) = log(t – 1) + 2B. f(x) = -log(x - 1) + 2C. f(t) = log(x - 2) + 1D. f(x) = -log(x - 2) + 1

As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.

As we can see in the graph, the graph of a function has a domain:

(0 , ∞)

And the function is increasing.

Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ2

Answer:

A. f(t) = log(t – 1) + 2

Step-by-step explanation:

I took the test

Can someone please answer a-d I have 5 mins!!!!
6 points and Brainly:)

Answers

Answer:

a) 12×6=72 cm²

b) 3x6:2= 9 cm²

c) 3x6:2=9 cm²

d) 72-9-9= 54 cm²

ANSWER PLS HELP NOW PLS

Answers

2. 54 inches

3. 18 centimeters

Which is the better deal?

Box of Cheerios

48 oz for $3.99

36 oz for 2.59

12 oz for 1.99

Answers

48 oz?

Step-by-step explanation:

I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong

Answer:

36oz for 2.59

Step-by-step explanation:

Try doubling each possible answer (largest isn't required):

36oz for 2.59 doubled is 72oz for 5.18.

12oz for 1.99 doubled is 24oz for 3.98.

The clear answer is 72oz for 5.18 instead of 48oz for 3.99.

Need help ASAP I really need help reviewing this!! Making sure if I have the correct answer !!!

Answers

Answer:

1) 5

2) 7

3) Mary

Step-by-step explanation:

1) 20/4 = 5 shots

20 shots = 4 minutes

10 shots = 2 minutes

5 shots = 1 minute

2) 42/6 = 7 shots

42 shots = 6 minutes

21 shots = 3 minutes

21 shots divided by 3 minutes equals 7 shots

3) Mary had 7 shots while John only shot 5.

\the incenter is a point of

Answers

Step-by-step explanation:

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

the person on top of me is correct !

f(x) = 4x - 9 step by step and put the right anwser so I can read it

Answers

f = -5f(x) = 4x - 9Add 9 to both sidesf(x) + 9 = 4xDivide x from both sidesf + 9 = 4Subtract 9 from both sidesf = -5Please let me know if I am wrong.

find the 12th term of the geometric sequence 1,-4,16

Answers

Answer:

common ratio =r=3

Step-by-step explanation:

Answer:

−4194304

Step-by-step explanation:

pls answer this if you do I mark brainlest​

Answers

Answer:

268

Step-by-step explanation:

2×(10×8 + 10×3 + 8×3) = 268 yards

Answer:

[tex]268yd^2[/tex]

Step-by-step explanation:

The Surface Area formula for a rectangular prism is:

[tex]2(wl+hl+hw)[/tex]

where w is the width, h is the height, and l is the length.

Plug each value into the formula and solve:

[tex]2(8*10+3*10+3*8)=268yd^2[/tex]

If this helped, a brainliest answer would be greatly appreciated!

A customer at least lunches can choose a protein from chicken beef or shrimp the customer can also choose from right or brown rice which diagram shows all the possible combinations of one type of Protane and one type of rice

Answers

Answer:

A

Step-by-step explanation:

Which equation represents circle A?

Answers

Answer:

there answer is either a or c

Equation C represents circle A.Option C is correct.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

The generalized equation of the circle with the coordinate(h,k) and radius r is;

(x-h)²+ (y-k) =r²

After graphing each and every equation given in the options we will come to the conclusion that equation c satisfies the given circle as;

(x-4)²+ (y-(-5)) =6²

(x-4)²+ (y-(-5)) =36

Hence option C is correct.

To learn more about the circle, refer to the link: https://brainly.com/question/11833983.

#SPJ2

Which expressions have the same solution as-4(6)?
Check all that apply.
044-6)
4-6)
6(-4)
-8(2)
12(-2)

Answers

044-6) 4-6) 6(-4) those are the ones I think are correct

Answer:

B, C,E

Step-by-step explanation:

I got it right on Edge2021

Find the missing dimension of each prism the volume equals 60 in.³ width equals 2.5 in. length equals 4 in. FIRST CORRECT ANSWER GETS 15 POINTS!!!

Answers

Answer:

Missing dimension is 6

Step-by-step explanation:

2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6

Need help immediately! I can't do this it's way too hard and I don't get it because I missed class today! Someone, can you please do all of them for me?

Answers

Answer:

I cant see that pdf you attached maybe tell me what questoin you are asking?

Can’t see the image

10 points if you answer this

Answers

7. 3/4 x 12 is 9 so subtract 9/12 from 12/12 to get 3/12
8. Their pizzas were all cut differently. Josh’s pizza was cut in half, Lisa’s was cut into 6 slices and Vicki’s was cut in 8 slices

Answer:

7. = 1/4 or 3 pieces left.

Step-by-step explanation:

If you take 12 pieces of pizza and divide it by 4 it equals 3. So 3 times 3 because there are 3 pieces left. Hope that makes sense!

4. Which function defines the sequence -6,-10,-14, 18,... , where f(6) = - 26 ?
(1) f(x) = - 4x - 2
(2) f(x) = 4x - 2
(3) f(x) = - x + 32
(4) f(x) = x - 26​

Answers

(1) f(x) = -4x - 2

Explanation:
Substitute f(6) into f(x) = -4x - 2
f(6) = -4(6) -2
f(6) = -24 -2
f(6) = -26 ✅

* if you had substituted 6 for x into any other equation it would not equal -26

if Suzannah's budget limit is $10 per month, how many text messages can she send in one month?​

Answers

Answer:

.10x100=$10

Am smort :D

Solve for d.
d^3 + 27 = 0
Write your answers in simplified, rationalized form.

Answers

Answer:

d=-3

Step-by-step explanation:

d3+27=0

Step 1: Subtract 27 from both sides.

d3+27−27=0−27

d3=−27

Step 2: Take cube root.

d=(−27)(

1

3

)

d=−3

Select all composite numbers shown:
11
12
13
14
15
16
17
18
19
20​

Answers

Answer:

12,14,16,18,20

Step-by-step explanation:

Answer:

just 20

Step-by-step explanation:

Ez

look at the diagram below. which two cities have the same temperature?
options : Aberdeen, Edinburgh, Leeds, Exeter.​

Answers

some are

edinburgh and exeter

What is the percent decrease from 61 to 11?

Answers

I think it’s a 49 percent decrease
The change would be 82 percent . 11 is a 81.967% decrease of 61 .

PLS HELP!!!!! Find the solution to (X+2)2=49

Answers

Answer:

22.5

Step-by-step explanation:

you have to do opposite bedmass to isolate the variable. the opposite of multiplying is division.

(X+2)2 =49

   2        2

Then do addition as subtraction.

X+2= 24.5

  -2    -2

X= 22.5

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