1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lady bird [3.3K]
3 years ago
8

Find the solution to the system of equations.

Mathematics
2 answers:
garri49 [273]3 years ago
6 0

Answer:

B (4,1). ( look at the point of intersection x-axis is at 4 and y is at 1) so it is (4,1)

Anestetic [448]3 years ago
5 0

Answer:

it should be A but im not fully sure

You might be interested in
Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
Samantha is baking a cake. She needs 3/4 cup of butter for each cake. One stick of butter is 1/2 cup. How many sticks of butter
Gala2k [10]
She would need 6 sticks of butter.
6 0
4 years ago
Read 2 more answers
Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

#SPJ10

7 0
2 years ago
Jill bought a pound of strawberries for $4.00 what is the price in per ounce of strawberries
Pie

Answer:

there is 16 oz in a pound

so if you divide 4.00 by 16 you get 0.25 a oz so if we do the inverse operation

0.25 x 16= 4.00

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Inez and Joel work at a store that sells
faltersainse [42]

Answer:

2 hrs and 32 mins

Step-by-step explanation:

Step 1. Because Inez worked more we are going to start by subtracting the the minutes. 23-51= -28.

Step 2. Now we move on to the hours. 7-4= 3. Know we know that the hour time is going to be three. But wait!

Step 3. Because we can't have negative numbers, we need to subtract some more. 60-28= 32. Now I know that my minutes will be 32.

Step 4. But because we used a negative number we have to subtract another hour from our time.

Answer: 2 hrs and 32 mins

Hope this helps!

7 0
3 years ago
Other questions:
  • The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents
    13·1 answer
  • Sam loves to read. The longest time it ever took her to finish a book was 23 hours. The shortest time was 1 hour and 5 minutes.
    10·2 answers
  • Emma's final grade in her math class is the average (mean) of her 5 chapter tests she took throughout the year. If she received
    15·2 answers
  • Match each multiplication expression with the number of decimal places in its product<br> Plz
    11·1 answer
  • Whats the answer to: 3x + 5y = 2 9x + 11y = 14
    11·1 answer
  • Use the table above to answer the question.
    14·1 answer
  • The swimming team has 84 members. The number of boys on the team is six more than twice the number of girls. How many boys and g
    13·1 answer
  • Simplify the following expression.<br><br> 24 + (3 × 5) - 4 - 9
    10·2 answers
  • A group of 4 people are sharing jellybeans. Each person wants 6 jellybeans and each box has 8 jellybeans.
    8·1 answer
  • Ryans basketball team has 11 players how many different ways can his coach choose 5 starting players
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!