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julsineya [31]
3 years ago
11

Write an equation for the quadratic function that has

Mathematics
1 answer:
Degger [83]3 years ago
7 0

The quadratic function has an x-intercept of (-7,0)

and passes through (-4,-18)

The gradient(m) of its graph is (-18 - 0) ÷ (-4 - -7) = -18/3 = -6

Taking a point (x,y) the equation is;

(y - 0) ÷ (x - -7) = -6

y = -6x - 42

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Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2
lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0
3 years ago
Find the slope of the line that passes through (9, 8) and (4, 6).
andreev551 [17]

Answer:

Step-by-step explanation:

90

7 0
3 years ago
Read 2 more answers
The school sold $6000 worth of tickets. Adult tickets were seven dollar and children’s tickets were three dollars. Three times a
padilas [110]

Answer:

1,500 tickets in total (375 adult tickets and 1,125 children tickets)

Step-by-step explanation:

Let x be the number of adult tickets sold.

Three times as many children tickets were sold as adults, so 3x is the number of children tickets sold.

Children tickets were three dollars, so 3x children tickets cost \$3\cdot 3x=\$9x.

Adult tickets were seven dollar, so x adult tickets cost \$7\cdot x=\$7x.

The school sold $6000 worth of tickets.

Hence,

9x+7x=6,000\\ \\16x=6,000\\ \\x=\dfrac{6,000}{16}=375\\ \\3x=1,125\\ \\x+3x=375+1,125=1,500

7 0
3 years ago
Please help ASAP. Need it for homework
Slav-nsk [51]
Speedy Taxis
you will put 30 instead of X in each equation and see which one is the cheapest
you put 30 beacuse it is said 30 miles and also said That X is the mile
Do you understand?
6 0
3 years ago
A construction crew built
Leona [35]

Answer:

4 miles in 1 day

Step-by-step explanation: Multiply 8 by the numerator for how many miles of road; That is how many halves of miles are built in a single day. Simplify that and they build 4 miles of road a day.

4 0
3 years ago
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