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3 years ago

Graph the equation to solve the system. y=2x+7 1/2y=x+7/2

Mathematics

1 answer:

vlabodo [156]3 years ago

3 0

Given equation is y=2x+7 and $\frac{1}{2}y=x+\frac{7}{2}$

Let's simplify the 2nd equation $\frac{1}{2}y=x+\frac{7}{2}$ before we can start graph so that calculation will be easy

$\frac{1}{2}y=x+\frac{7}{2}$

multiply both sides by 2 to cancel out fractions

$2*\frac{1}{2}y=2*x+2*\frac{7}{2}$

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.

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Eight hot dogs and seven hot dog rolls cost $\$13.60$. Seven hot dogs and eight hot dog rolls cost $\$13.40$. How much, in dolla

Maru [420]

Answer:

$1.80

Step-by-step explanation:

Let the cost of a hot dog = x

The cost of a hot dog roll = y

Eight hot dogs and seven hot dog rolls cost $\$13.60$.

8x + 7x = $13.60..... Equation 1

Seven hot dogs and eight hot dog rolls cost $\$13.40$.

7x + 8x = $13.40...... Equation 2

Combining both Equation

8x + 7x = $13.60..... Equation 1

7x + 8x = $13.40...... Equation 2

Eliminating x

Multiply 1 by 7

Multiply 2 by 8

56x + 49y = 95.2..... Equation 3

56x + 64y = 107.2 ..... Equation 4

Subtracting 4 from 3

-15y = -12

y = -12/-15

y = 0.8

Cost of one hot dog roll = $0.8

Solving for x

8x + 7x = $13.60

8x + 7(0.8) = 13.60

8x + 5.6 = 13.60

8x = 13.60 - 5.60

8x = 8.0

x = 8.0/8

x = 1.

Cost of one hot dog = $1.0

The cost in dollars of a hot dog and a hot dog roll cost combined is

x + y

= $1 + $0.8

= $1.80

3 0

2 years ago

Read 2 more answers

f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer

Eva8 [605]

Answer:

$x=-8$ if $f(x)=-1$

Step-by-step explanation:

Given --> $f(x)=-\frac{3}{4}x-7$

Substitute $f(x)=-1$ into the equation and solve for $x$ :

$-1=-\frac{3}{4}x-7$

$6=-\frac{3}{4}x$

$24=-3x$

$-8=x$

So, when $f(x)=-1,x=-8$

8 0

2 years ago

What is the slope of the line given by the equation below? y + 2 = -3(x - 5)

sasho [114]

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

7 0

2 years ago

A test to determine whether a certain antibody is present is 99.1% effective. This means that the test will accurately come bac

avanturin [10]

Answer:

The probability that all the six people will test negative for the antibody is 0.9472.

The probability that the test comes back positive for at least one of the six people is 0.0528

Step-by-step explanation:

Consider the provided information.

probability that antibody is present will be effective is 99.1% and not present is 99.1% of the time.

Part (A)What is the probability that the test comes back negative for all six people? 

Let P(X)= P(Antibody not present)

We want test comes back negative for all six that means antibody is present for all six. Thus X=0

$P(X=0)=0.991\times0.991\times0.991\times0.991\times0.991\times0.991\\P(X=0)=0.9472$

The probability that all the six people will test negative for the antibody is 0.9472.

Part (B) What is the probability that the test comes back positive for at least one of the six people?

$P(X \geq1)=1-P(X=0)$

$P(X \geq1) = 1-0.9472$

$P(X \geq1) = 0.0528$

Hence, the probability that the test comes back positive for at least one of the six people is 0.0528

7 0

3 years ago

The unit 6 quiz has ten questions worth 24 points the quiz consists of true false questions worth 2 points each and selected res

soldi70 [24.7K]

Good morning,

Answer:

<h2>the number of true false questions : 6</h2><h2>the number of selected response : 4</h2>

Step-by-step explanation:

Let x represent the number of true false questions

and y represent the number of selected response

we have to solve this system to work out the number of each type of question

x+y=10 (1)

2x+3y=24 (2)

(2) - 2×(1) ⇒ y=4

now ,we replace y by 4 in equation (1)

x = 10 - 4 = 6.

3 0

3 years ago

Read 2 more answers