Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14

Answers

Answer 1
x-intercepts (14/3,0)
y-intercepts (0,7)
Determine The X-intercept For 3x + 2y = 14,A)(7,0)B)(0,7)C)2,0)D)(0,14
Answer 2

Answer:

X-intercept: [tex](\frac{14}{3}, 0)[/tex].

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

X-intercept:

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

[tex]\frac{3x}{3} = \frac{14}{3}[/tex]

[tex]x = \frac{14}{3}[/tex]

Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex].   None of the given option matches the value of the x-intercept.

Y-intercept:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

[tex]\frac{2y}{2} = \frac{14}{2}[/tex]

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.


Related Questions

Thanksgiving Meal Challenge

Considering the final price of the meal, would you rather have a $25 gift

card to apply toward to total price or a 35% off coupon? Show your work

and explain.

Answers

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Let y represent the price of the meal.

For a $25 gift card to be applied, the final price is:

Final price = y - 25

For a 35% off coupon, the final price is:

Final price = y - 0.35y = 0.65y

y - 25 < 0.65y

0.35y < 25

y < 71.42

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

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Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost
among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
$=

Answers

Answer:

250 - [tex]\frac{p}{24}[/tex]

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on  present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

250 - [tex]\frac{p}{24}[/tex]

Hence, the required expression will be

250 - [tex]\frac{p}{24}[/tex]

(Hope this helps can I please have brainlist (crown)☺️)

Help needed with this asap

Answers

Answer:

x = 10

Step-by-step explanation:

RO and OQ are congruent

Since RO = 50, and RQ = 12x - 20,

OQ = 12x - 20 - 50 = RO

50 = 12x - 70

120 = 12x

x = 10

-Chetan K

X = 10 easy peasy . can i get marked brainlest

A calculator is selling for $80 with an 8.5% tax. How much will you pay in tax for the calculator?

Answers

Answer:

$86.80

Step-by-step explanation:

Which expression is equivalent to 45 divided by (2 - x)

Answers

Answer:

 45

---------

(2 - x)

Step-by-step explanation:

That would be:

 45

---------

(2 - x)

Also valid:  45/(2 - x)

Use the correct trig function to find the value of x. SOH,CAH, TOA​

Answers

x = 18.4

Step-by-step explanation:

For this problem, we are going to use the cosine function to find x:

[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]

[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]

Write an equation for the nth term of the arithmetic sequence 7,2,-3,-8,

Answers

Answer:

-5n+12

Step-by-step explanation:

find the difference which is -5

then find the difference from -5 to 7 which is 12

put it in the sequence

-5n+12

Answer:

-5n+12 that would be your equation                                        

a ratio is a comparison between two or more numbers or quantities

a. True
b. False​

Answers

The correct answer is true

pls help with number 12

Answers

9514 1404 393

Answer:

  a.  Zachary is correct

  b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3

Step-by-step explanation:

a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.

We can show the others are incorrect using a counter-example.

  (-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect

Tina's rule is not consistent with the commutative property of multiplication.

Aaron's rule applies to addition, but not to multiplication.

__

b. The example used above is one example. Here are two more.

  (-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect

  (5)(-2) = -10 . . . . Aaron's own example shows him incorrect

  (1)(3) = 3 . . . . . . agrees with all students' observations

32 is 40 percent of what number? A 12.8 B 128 C 114 D 124​

Answers

Answer: C

.Step-by-step explanation:

it was right for me so if its wrong im sorry :)

A patio measures 4 yd long and 3 yd wide. What is the area in square meters? Round final answer to two decimal places

Answers

Answer:

Step-by-step explanation:

1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m

(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²

Find two numbers x and y with a sum of 2 and a difference of 12

Answers

Answer:

x = 7

y = -5

Step-by-step explanation:

x + y = 2

x - y = 12

( x + y ) + ( x - y ) = 2 + 12

2x = 14

x = 7

7 + y = 2

y = -5

Check:

7 + -5 = 2

7 - (-5) = 12

Correct

-Chetan K

Use partial products to multiply

73

×

42

73×4273, times, 42.

Answers

Answer:

13,101,108

as in Thirteen million ,hundred and one thousand, one hundred and eight

Does anyone know these answers?

Answers

Answer:

A

Step-by-step explanation:

We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4

Answer:

A. 3, 3, 4

Step-by-step explanation:

Parallel segments to AE are:

BF, CG, DH ⇒ 3

Parallel segments to EF:

AB, CD, GH ⇒ 3

Segments intersecting with EF under right angle:

AE, EG, BF, GH ⇒ 4

Correct choice is A

2 dived by 49 with a remainder

Answers

Answer:

The answer is 24 with remainder of 1

Step-by-step explanation:

First, solve the problem by seeing what number gives you 4 when multiplied by 2. That would be 2 (2x2=4)

you subtract 4 by 4 to get zero and bring down the nine

Then you see which number would get you close to nine without overlapping when multiplied by two. That would be 4 (2x4=8)

your answer would be 24 then you subtract 9 by 8 to get a remainder of 1

What's next in this sequence? 4,8,16,32,64 _?

Answers

128 !
Explanation: in order for 4 to go to 8 you have to times 2, 8 times 2 is 16, 16 times 2 is 32, so finally 64 times 2 would be 128.
i hope this helps!


A six sided die is tossed. Determine the odds against rolling a 3.

The odds are :

Answers

Answer:

1/6 because 3 is one of the sides of the 6

The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.

The total number of possible outcomes is 6, since there are six sides on the die.

Therefore, the odds against rolling a 3 are:

5:1

This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:

P(not rolling a 3) = 5/6

Alternatively, the probability of rolling a 3 is 1/6, so we can also say:

P(rolling a 3) = 1/6

And the probability of not rolling a 3 is:

P(not rolling a 3) = 1 - P(rolling a 3)

= 1 - 1/6

= 5/6

Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

To learn more on probability click:

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Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...

Answers

Answer:

1724

Step-by-step explanation:

first find the nth term = -19n+5

then do -19×91+5= 1724

Solve −3x2 + 30x − 90 = 0

Answers

Step-by-step explanation:

so, it is a quadratic equation :

-3x² + 30x - 90 = 0

the first thing we can do is divide by 3

-x² + 10x - 30 = 0

remember, the formula to solve and find the 2 solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here

a = -1

b = 10

c = -30

x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =

= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =

= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =

= 5 ± -sqrt(5)i

x1 = 5 - sqrt(5)i

x2 = 5 + sqrt(5)i

remember, i = sqrt(-1), a complex number.

6. Find the percent of decrease from 24 to 18.

Answers

Answer:

25%

Step-by-step explanation:

24-18= 6

6 × 100 = 25%

24

Answer:

25% decrease

Step-by-step explanation:

find 1% of 24     24 divided by 100= 0.24

18 divided by 0.24 = 75

now 100 - 75 = 25

Solve
-14 - 7
A. -21

B. -7

C. 7

D. 21

Answers

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

Find the slope (show your solution)

y=4x+5


please help me to answer this i really really need it

Answers

Ok so for this we need to use the gradient (slope) formula :
Y = Mx+c
The slop of the line is M
And the y intercept ( where it goes through on y axis) is C
So if we substitute that into ur equaton
Y = Mx +c
Y= 4x + 5
You can see that M ( the slope) is 4
And C ( y intercept) is 5



Pls and thiss I beggg

Answers

Answer:

x=115°,y=50°

Step-by-step explanation:

let <B =x

115°+x=180°

x=180°-115°=65°

Since <B=<C

x+65°=180

x=180-65=115°

For y,

y+2(65°)=180°

y+130°=180°

y=180°-130°=50°

If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?

Answers

Answer:

I = $372.40

Step-by-step explanation:

Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:

Use the following simple interest formula to solve for the interest earned:

I = P × r × t

where:

I = interest earned

P = principal amount invested = $2,940

r = interest rate = 3.8% or 0.380

t = time = 4/12 months = ⅓ or 0.3333

Substitute to given values into the simple interest formula:

I = P × r × t

I = $2,940 × 0.380 × 0.3333

I = $372.40

Therefore, the simple interest earned in 4 months is $372.40.

there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary​

Answers

Answer:

either 98 girls and 83 boys or 181 students in Ross elementary school

Step-by-step explanation:

98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.

Five kittens are sharing 6 cups of milk equally. How much milk does each kitten get?

Answers

Answer:

1 1/5

Step-by-step explanation:

We know that there is 5 kittens that have to eat six bowls of milk

Each cat would get 1 whole bowl of milk. All the kittens have to share 1/5 of the sixth bowl of milk.

Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

What is meant by Mathematical expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Expressions in writing are made using mathematical operators such addition, subtraction, multiplication, and division.. For instance, the mathematical equation for "4 added to 2" will be 2+4.

Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations. For instance, the arithmetic operation 9 + 14/2 - 6*(5 + 3) results in -32.

Given,

6 cup of milk so there are 5 kitten

To give 6 cup of milk to 5 kitten is=6/5

= 6/5

=1  1/5

Therefore Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

To learn more about Mathematical expression refer to:

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vertex, maximum height, and axis of symmetry

Answers

Answer:

19 height

Step-by-step explanation:

sorry but thats all i know

hope it helps, have a nice day/night! :D

Solve for u.

7u–u+2u+11u=10
u=

Answers

Answer U = 10/19
Bc explain

What is the algebraic expression for the following word phrase: "the product of x and the sum of 2 and y"?

Answers

Answer:

x(2+y)

Step-by-step explanation:

sum of 2 and y=2+y

product of x=x times expression

:. Answer =x(2+y)

pls help quick Jack is selling lemonade at a stand outside his house. He is charging $1.50 per cup. He needs to make at least enough money to cover the cost of his supplies, which were $15.25. has anys 192 What is the minimum number of cups of lemonade Jack needs to sell?​

Answers

Answer:

11 cups

Step-by-step explanation:

1.50x10=15 and that wouldn't be the answer because, he needs to cover all of his supplies.  1.50x11=16.5, and that is enough money to cover all of his supplies. So he would need 11 cups total.

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