Tell whether the ordered pair (−1, 4) is a solution of the system.
-2x-3y=-10
-3x+y=7
True or False

Answers

Answer 1

Answer:

True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4

Answer 2

Answer:

True

Step-by-step explanation:

[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]

Rearrange like terms to the same side of the equation:

[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]

Substitute into one of the equations:

[tex]-2x-3(7+3x)=-10[/tex]

Apply the Distributive Property:

[tex]-2x-21-9x=-10[/tex]

Combine like terms:

[tex]-11x-21=-10[/tex]

Rearrange variables to the left side of the equation:

[tex]-11x=-10+21[/tex]

Calculate the sum or difference:

[tex]-11x=11[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x=-\frac{11}{11}[/tex]

Cross out the common factor:

[tex]x=-1[/tex]

Substitute into one of the equations:

[tex]y=7+3[/tex] × [tex](-1)[/tex]

Calculate:

[tex]y=4[/tex]

The solution of the system is:

[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]

Express solutions in ordered pairs:

[tex](-1,4)[/tex]

Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:

True


Related Questions

Ling deposited $70 in a savings account earning 10% interest, compounded annually To the nearest cent , how much will she have in 3 years?

Answers

Answer:

$9.93

Step-by-step explanation:

sorry if it doesn't help.

A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The ball's height h (in meters) after seconds is given by the
following
h = 3+302-57
Find all values of tfor which the ball's height is 13 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 seconds
х
5
?
Initial
height
ground

Answers

[tex]h=3+30t-5t^2\implies 13=3+30t-5t^2\implies 0=-10+30t-5t^2 \\\\\\ 5t^2-30t+10=0\implies 5(t^2-6t+2)=0\implies t^2-6t+2=0[/tex]

now, it doesn't give us nice looking integers, so let's plug that into the quadratic formula.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-6}t\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~\hspace{10em} t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-6) \pm \sqrt { (-6)^2 -4(1)(2)}}{2(1)}\implies t=\cfrac{6\pm\sqrt{36-8}}{2}[/tex]

[tex]t=\cfrac{6\pm\sqrt{28}}{2}\implies t=\cfrac{6\pm\sqrt{2^2\cdot 7}}{2}\implies t=\cfrac{6\pm 2\sqrt{7}}{2}\implies t=\cfrac{2(3\pm 1\sqrt{7})}{2} \\\\\\ t=3\pm \sqrt{7}\implies t= \begin{cases} 3+\sqrt{7}\\ 3-\sqrt{7} \end{cases}\implies t\approx \begin{cases} 5.65\\ 0.35 \end{cases}[/tex]

find five ordered pairs that are a solution for.the equation y=2x +7

Answers

Step-by-step explanation:

y = 2x + 7

y = 2(–2) + 7 = 3

y = 2(–1) + 7 = 5

y = 2(0) + 7 =7

y = 2(1) + 7 = 9

y = 2(2) + 7 =11

what is 30,000 expressed in scientific notation

Answers

Answer:

3 x 10^4

Step-by-step explanation:

the decimal is behind the 3 (3.) and you move the decimal 4 times to the right

Question 1 Multiple Choice Worth 2 points)
(06.04 MC)
The speed of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function: y = 142. A
second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 149 feet per second and can be modeled by the function: y = 149t + 1200
Solve the system of equations. Which solution represents a viable time that the trains are side by side?
O 14 seconds
O 15 seconds
O 16 seconds
O 17 seconds

Answers

Using a system of equations, it is found that the trains will be side by side in 15 seconds.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

[tex]y_1 = 229t[/tex]

[tex]y_2 = 149t + 1200[/tex]

They will be side-by-side when:

[tex]y_1 = y_2[/tex]

Hence:

[tex]229t = 149t + 1200[/tex]

[tex]80t = 1200[/tex]

[tex]t = \frac{1200}{80}[/tex]

[tex]t = 15[/tex]


The trains will be side by side in 15 seconds.

More can be learned about system of equations at https://brainly.com/question/24342899

3: A car travels 120 miles in 3 hours at a steady speed. (a) How far does the car travel in 1 hour? (b) How far does the car travel in 8 hours? How far does the car travel in 1 hour ?


pls give me explanation and working out
thnx :)

Answers

Answer:

The car travels 40 miles per hour. In 8hrs, the car will have droven 320 miles. In one hour the car will have have driven 40 miles. Step-by-step explanation:

Excuse me, but I believe this is a unit rate, so the first thing I did was was divide 120 by 3 to get the answer 40 for A. Then, since I knew that the car goes 40 miles per hour, I multiplied that by 8 to get 320 for B.

This is a grade 5 question pls help!!

Answers

Answer:

1. [tex]\frac{1}{4}[/tex]

2.[tex]\frac{3}{8}[/tex]

3.[tex]\frac{5}{8}[/tex]

4.[tex]\frac{3}{4}[/tex]

5.[tex]\frac{3}{8}[/tex]

6. [tex]\frac{0}{8}[/tex] or 0

7. [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Count the amount of each number and put it over 8.

Simplify if possible.

What is the surface area?
4 in
4 in
4 in
square inches

Answers

pretty sure you’re gonna have to give more info

0.45 as fraction in simplified form

Answers

Answer:

9/2

Step-by-step explanation:

0.45 = 45/100 = 9/20.

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Convert to fraction:

[tex]0.45[/tex]

Convert decimal to fraction:

[tex]\frac{45}{100}[/tex]

Reduce the fraction:

[tex]\frac{9}{20}[/tex]

A mechanic charges a $30 flat rate plus $20 per hour. If he wants to earn at least $350 this week, how many hours will he need to work?​

Answers

Answer:

16 hours

Step-by-step explanation:

Let the mechanic works for x hours to make a money of $350.

Fixed charges = $30

Charges per hour = $20

So, charges for x hours = $20x

Total money earned = $350

[tex] \implies \: 20x + 30 = 350 \\ \\ \implies \: 20x = 350 - 30 \\ \\ \implies \: 20x = 320 \\ \\ \implies \: x = \frac{320}{20} \\ \\ \implies \: x = 16 \: hours[/tex]

Thus, the mechanic needs to work for 16 hours to make $350.

Answer
16 hours


Explanation:

Evaluate the expression
cos(30°)=

Answers

Answer:

[tex]cos (30) =\sqrt{\frac{3}{2} } =0.8660[/tex]

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

Step-by-step explanation:

cos 30° is √3 /2

Also refer to the image attached

MARK ME AS BRAINLIST

7.209 x 10 -4 in standard form

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{7.209\times10^{-4}}\\\\\mathsf{\approx 7.209\times\dfrac{1}{10\times10\times10\times10}}\\\\\mathsf{\approx 0.000721}\\\\\mathsf{\approx 7.21\times10^{-4}}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{7.21\times10^{-4}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

e by 9%

what is the answer in

a. 0.1e
b.0.09e
c.0.9e
d.0.91e​

Answers

Answer:

b) 0.09e

Step-by-step explanation:

9% is 9/100= 0.09 (e) =0.09e

PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is (choose) 4,5,8,10 units. The width of the rectangle is (choose) 4,5,8,10 units. The area of the rectangle is (choose) 10,16,20,25 square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is (choose)
10,16,20,25
square units.

Answers

Just add a similar triangle from the opposite side

Then what happens

Hypotenuse of this triangle becomes common and diagonal of the rectangle.

Now

Length=L=5Breadth=B=4

Area

[tex]\\ \tt\hookrightarrow LB=5(4)=20[/tex]

Area of triangle=20/2=10units^2

Answer:

Length = 5

Width = 4

Area = 20

Triangle area = 10

Step-by-step explanation:

The length of the rectangle = the longest leg = 5 units

The width of the rectangle = the shortest leg = 4 units

The area of the rectangle = width x length = 4 x 5 = 20 units²

The area of the triangle = 1/2 the area of the rectangle = 20 ÷ 2 = 10 units²

Use Euclid's division algorithm to find the HCF of 135 and 225​

Answers

Answer:

The answer is 45

Step-by-step explanation:

135 and 225

Here, 225 > 135

225 = 135 × 1 + 90

Since remainder ≠ 0, we apply division Lemma to 135 and 90

135 = 90 × 1 + 45

Since remainder ≠ 0, we apply division Lemma to 90 and 45

90 = 45 × 2 + 0

Since remainder = 0, divisor 45 is the HCF

Thus, HCF (135, 225) = 45

-TheUnknownScientist 72

Answer:

HCF = 45

Step-by-step explanation:

225 = (135 × p) + q

⇒ 225 = (135×1) + 90

⇒ 135 = (90 × 1) + 45

⇒ 90 = (45 × 2) + 0

HCF (135, 225) = 45

Hi help me please if you can

Answers

Answer:

277/8  =34.625

Step-by-step explanation:

can you help me plz do it asap


What are the coordinates of point A?


On a coordinate plane, point A is 4 units to the left and 3 units down.

(–4, 3)

(3, –4)

(–3, –4)

(–4, –3)

Answers

The answer is (-4,-3)

In planning her​ retirement, Liza deposits some money at 3.5​% ​interest, with twice as much deposited at 4.5​%. Find the amount deposited at each rate if the total annual interest income is ​$2250.

Answers

a = amount deposited at 3.5%

b = amount deposited at 4.5%

we know that "b" is twice as much as "a", thus b = 2a.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)[/tex]

we also know that whatever "a" amount is, their sum is 2250, thus

[tex]0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}[/tex]

PLEASE HELP QUICKLY!!! LOOK AT THE PICTURE ATTACHED!

Answers

Answer:

[tex]{ \tt{16 {b}^{2} c {}^{12} - 0.25 }}[/tex]

» Change the decimal to a fraction:

[tex] = { \tt{ {16b}^{2} {c}^{12} - \frac{1}{4} }} \\ [/tex]

» Change the other degrees to indices;

16 = 4²4 = 2²

[tex] = { \tt{ \blue{( {4}^{2}) }} {b}^{2} {c}^{12} - \frac{1}{ \red{( {2}^{2} )}} } \\ \\ = { \tt{ {(4bc {}^{6} )}^{2} - \frac{1}{4} }}[/tex]

» Factorize:

[tex] = { \tt{4}^{2} \{ ( {bc}^{6} ) {}^{2} - \frac{1}{4} \}} \\ \\ { \boxed{ \tt{ = 16 \{ { \blue{{(bc}^{6}) {}^{2} - \frac{1}{4} } \}}}}}[/tex]

The predicted high temperature for the day in Bismarck, North Dakota is 30° and the low is 7° below zero. What is the diffrence in the temperatures for the day?​

Answers

Answer:

The diffrence is 37 degrees

Step-by-step explanation:

30-(-7)=37  

use the distributive property to fill in the blanks below


4 × (8 + 3) = ( × 8) + × 8) + (x3)​

Answers

Answer:

This statement shows the Commutative Property of Multiplication. It basically says that now matter order in which you multiply, you still have the same answer because, for example, 4*5=5*4. You can multiply 4 by 5 but you could also multiply 5 by 4 because multiplication is commutative. :)

Step-by-step explanation:


Assume that the variable U represents a positive real number

Answers

Answer:

Step-by-step explanation:

Which algebraic expression is equivalent to the expression below?9x+12y

Answers

Answer:

69f

Step-by-step explanation:

is this correct please help me.

Answers

Answer:

4:15:44

Step-by-step explanation:

A ratio can be expressed three (3) ways. The ratio of A to B can be expressed as any of ...

  A to B

  A : B

  A/B

It will be in reduced form when the numbers are mutually prime (have no common factors).

__

1.

The ratio of burgers without onions to burgers with onions is ...

  without : with = 8 : 2 = 4 : 1

__

2.

The ratio of history visitors (5) to science visitors (44) is ...

  history : science = 5 : 44

_____

Additional comment

Some problems can be fairly easily worked by considering the difference between A and B in the ratio A/B. However, those differences are irrelevant to this problem. Here, you're simply asked to write the ratios.

We note that the ratios asked for reverse the appearance of the numbers given in the problem. That is, the second number in the ratio requested is the number described first. This requires you pay attention to what you are given and what is requested. (That's always a good idea.)

A sofa is being sold for $378 this is a 28% discount what is the original price

Answers

$378 is 72% of the original price.

72% = $378

1% = $378/72

1% = $5.25

100% = $5.25(100)

100% = $525

The original price of the sofa is $525

Hope this helps!

Solve the equation -3(7 + 5g)

Answers

Hey there!


-3(7 + 5g)


DISTRIBUTE -3 WITHIN the PARENTHESES

= -3(7) - 3(5g)


= -21 - 15g


= -15g - 21


Good luck on your assignment and enjoy day!

~Amphitrite1040:)

WILL GIVE BRAINLIEST
There are 2,367 teachers in a certain school district. 600 were polled asking if they felt computers in the classroom were beneficial to. 85% of the teachers polled felt that computers in the classroom were beneficial to students. What is the confidence interval for the population mean of teachers in this district that feel computers in the classroom are beneficial to students, using a 99% confidence level?

(81.25%, 88.75%)

(81.98%, 88.21%)

(82.14%, 87.86%)

(82.60%, 87.40%)

Answers

Answer:

B

Step-by-step explanation:

do you watch anime

Option A

(81.25%,88.75%)

What is confidence interval?

A confidence interval is how much instability there's with any specific statistic. Confidence intervals are frequently utilized with a margin of error. It tells you how confident you'll be able be that the results from a poll or survey reflect what you'd expect to find in the event that it were possible to survey the whole population. Confidence intervals are inherently associated to confidence levels.

Here the sample size, n=600

85% of the teachers polled felt that computers in the classroom were beneficial to students.

so the proportion=85%=0.85

Confidence level=99%

so. the level of significance, α=1-0.99=0.01

So, z critical value at 99% confidence level,

[tex]Z_{\frac{\alpha }{2} } =2.576[/tex]

So the formula to find confidence interval is,

[tex]proportion-Z_\frac{\alpha }{2} *\sqrt{\frac{prop.(1-prop)}{n} } < p < proportion+Z_\frac{\alpha }{2} *\sqrt{\frac{prop.(1-prop)}{n} }[/tex]

[tex]0.85-2.576*\sqrt{\frac{0.85*(1-0.85)}{600} } < p < 0.85+2.576*\sqrt{\frac{0.85*(1-0.85)}{600} }[/tex]

=(0.8125,0.8875)

=(81.25%,88.75%)

To learn more about the confidence interval please follow: https://brainly.ph/question/21549681

#SPJ2

1. Jacobson Animal Shelter has half as many cats as dogs.
The shelter has 30 dogs. How many total animals does the
shelter have?

Answers

Answer:

45

Step-by-step explanation:

30/2=15 +30=45

Answer:

The Jacobson Animal Shelter has 45 total animals.

Step-by-step explanation:

dogs = 30

cats = 30/2

cats = 15

dogs + cats = total

30 + 15 = total

45 = total

in
What is the area of this triangle?
inz
h = 5 in.
b = 10 in.

Answers

Formula 1/2bh

1/2(10)(5)

= 25 for area!

Hope this helps

Solve the following inequality.
-22 < 4x + 6 < 50
[?] х

Answers

Solution:

Let's simplify each inequality one by one.

-22 < 4x + 6 ≤ 50=> -22 - 6 < 4x => -28 < 4x => -7 < x => 4x + 6 ≤ 50=> 4x ≤ 50 - 6=> 4x ≤ 44=> x ≤ 11

This means that...

-7 < x ≤ 11

Hoped this helped!

Other Questions
Lake acquired a controlling interest in Boxwood several years ago. During the current fiscal period, the two companies individually reported the following income (exclusive of any investment income):Lake $ 363,000Boxwood 120,000Lake paid a $60,000 cash dividend during the current year, and Boxwood distributed $5,000.Boxwood sells inventory to Lake each period. Intra-entity gross profits of $22,400 were present in Lake's beginning inventory for the current year, and its ending inventory carried $41,500 in intra-entity gross profits.View each of the following questions as an independent situation. The effective tax rate for both companies is 21 percent.If Lake owns a 60 percent interest in Boxwood, what total income tax expense must be reported on a consolidated income statement for this period? (Round the intermediate calculations and final answers to the nearest dollar amount.)If Lake owns a 60 percent interest in Boxwood, what total amount of income taxes must be paid by these two companies for the current year? (Round the intermediate calculations and final answers to the nearest dollar amount.)If Lake owns a 90 percent interest in Boxwood and a consolidated tax return is filed, what amount of income tax expense would be reported on a consolidated income statement for the year? I dont understand this what is societyhiw we preveent it Which body system maintains fluid balance, absorbs lipids, and protects the body against pathogens?. Which ordered pair is a solution of y = x 4?(3, 7)(3, 7)(3, 7)(3, 7) anyone help me please# help # be care # Mind lending a hand? Eleven more than 5 times a number is 31. What is the number? How were the colonies going to gain their freedom from the mother country?. Math Help Help Fast Alot of points Help !! its A math question If an equation is written in standard form, which method can you ALWAYS use to solve the quadratic equation?FactoringIsolate the SquareQuadratic Formula 16-18 help please !!!!!! state at least 5 importance of soil to agricultural While the human immune system is generally effective at fighting bacterial infections, sometimes the infection overpowers the bodys defenses. In that case, the administration of an antibiotic may be necessary. How does an antibiotic work with the immune system?. How are genetics and natural selection connected? Who is the Greek god of the sun? find the value of Y, that make the distance from A to B equal to the given distance. A(3,y), B(6,2);D=5 A car of mass 1000 kg is heading east at 25 m/s. It collides with a car of mass 1200 kg heading north at 30 m/s. When the cars collide, they stick together.d. At what angle do the cars move after the collision? (2 points) Myplate is a visual reminder of how to build a healthy meal based on dietary recommendations from. Which of these scenarios would provide the best help for improving cardiorespiratory health?(a) Sam hurt his left knee when he was in the army. Although he'd like to be more active, Sam has a fairly sedentary lifestyle.(b) Ana has a desk job and keeps a tight work-and-play schedule. She participates in 10 minutes of aerobic exercise during her lunch hour every Monday, Wednesday, and Friday.(c) Shari has a hectic work schedule, which means gym time is limited. She has maintained a loose schedule of sporadic workout routines for three years.(d) Carlton goes to the gym 4 days a week. Every two weeks he evaluates and upgrades his consistently challenging exercise.