All categories

3 years ago

Determine the intercepts of the graph described by the following linear equation y=6x+13

1 answer:

4 0

Xintercept is where the line crosses the x axis and where y=0
yintercept is where the line crosses the y axis and where x=0

so
xint is
0=6x+13
minus 13 oth sides
-13=6x
divide by 6
-13/6=x
xint is x=-13/6 or the point (-13/6,0)

yint
set x=0
y=6(0)+13
y=13
yiint is y=13, or the point (0,13)

xint is (-13/6,0)
yint is (0,13)

You might be interested in

P= A. i B. -1 C. -i D. 1

Molodets [167]

Answer:

la respuesta es capó la B

Step-by-step explanation:

xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero

7 0

3 years ago

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How

NISA [10]

Answer: h < 7 or h> 9

Step-by-step explanation:

just did the test

4 0

3 years ago

A group of 120 people touring Europe includes 45 people who speak French, 42 who speak Spanish, and 50 who speak neither languag

lianna [129]

Answer : $P(\text{this group will speak both French and Spanish})=0.141666666$

Explanation:

Since we have given that

n(U) = 120, where U denotes universal set ,

n(F) = 45, where F denotes who speak French,

n(S) = 42 , where S denotes who speak Spanish,

n(F∪S)' = 50

n(F∪S) = n(U)-n(F∪S) = 120-50 = 70

Now, we know the formula, i.e.

n(F∪s) = n(F)+n(S)-n(F∩S)

⇒ 70 = 45+42-n(F∩S)

⇒ 70 = 87- n(F∩S)

⇒ 70-87 = -n(F∩S)

⇒ -17 = -n( F∩S)

⇒ 17 = n(F∩S)

$P(\text{this group will speak both French and Spanish})= \frac{17}{120}\\P(\text{this group will speak both French and Spanish})=0.141666666$

3 0

3 years ago

2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Mr. Smith is adding food coloring to water to create his own paint colors. He has 5 1/3 cups of water. to create a color, he nee

serious [3.7K]

8 Colors

If you make it an improper fraction it becomes 16/3 and 2/3, so now you can do 16/2, giving you 8 colors

6 0

3 years ago

Read 2 more answers