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vodomira [7]
4 years ago
6

A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4

) and one of its x-axis intercepts is 6. Find the value of a and b.
Mathematics
1 answer:
Scilla [17]4 years ago
6 0

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

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Peyton has 5/8 of pumpkin pie left over from thanksgiving. She eats 1/8 of the pie and her friend joy eats 1/6 of the pie. How m
neonofarm [45]

Answer:

1/3

Step-by-step explanation:

Left over pie=5/8

Payton eats=1/8 of the left over pie

Joy eats =1/6 of the left over pie

Total pie eaten by Payton and joy= 1/8+1/6

To add the fraction,

Find the lowest common multiple of 6 and 8 which is 48

Then,

divide 48 by 8 multiplied by 1 which is 6,

divide 48 by 6 multiplied by 1 which is 8

We have,

=6+8/48

=14/48

=7/24

Total pie eaten by Peyton and joy=7/24

Total pie left(after Peyton and joy share)= Total left over- total pie eaten by Peyton and joy

=5/8-7/24

=15-7/24

=8/24

=1/3

8 0
3 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary
Fynjy0 [20]

Step-by-step explanation:

here's the answer to your question

8 0
3 years ago
In ∆ABC, if the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively, what are m <
larisa86 [58]
Use the law of cosines.
a2+b2−2abcosC=c2

Find the measure of angle C. It is the opposite side of c.
c2−a2−b2−2ab=cosC
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C=cos−10.797=0.649 rad=37.19∘

angle B:
a2+c2−2accosB=b2
cosB=b2−a2−c2−2ac
B=cos−1b2−a2−c2−2ac=cos−1182−22.52−13.62−2(22.5)(13.6)≈0.927 rad=53.13∘

angle A:
b2+c2−2bccosA=a2
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8 0
3 years ago
A rectangular prism is 7 centimeters long, 5 centimeters wide, and 4 centimeters tall. Which values are the areas of cross secti
VladimirAG [237]
Cross section is the area you make when you make a cut across a shape. In this case, the cut must be parallel to the base. Hence, the cut shape would be same to that of the base. The base's dimensions are 7 cm long x 5 cm wide. Thus, the cross section area is 35 square centimeters.
3 0
4 years ago
Read 2 more answers
Add. 1 1/2 + 3/5 + 1/8<br><br> A. 1 5/13 <br><br> B. 27/15 <br><br> C. 2 9/40<br><br> D. 1 3/8
Alex Ar [27]
Get the mixed number into one fraction
\frac{3}{2}  +  \frac{3}{5}  +  \frac{1}{8}
Get a common denominator
\frac{60}{40}  +  \frac{24}{40} +  \frac{5}{40}
Now add
\frac{89}{40}
You can get it back to a mixed number
2 \frac{9}{40}

8 0
3 years ago
Read 2 more answers
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