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Solve the quadratic equation x^2 + 7x + 6 = 0

To solve a quadratic equation of the form Ax2 + Bx + C = 0, where, in this example, A=1, B=7 and C=6, we need to factorise the left-hand side of the equation. To do this we first need to write ...

Answered by Caitlin J. Maths tutor
8831 Views

A scientist discovers a diseased tomato plant where a disease has caused discolouration in the leaves due to a decrease in chlorophyll. Explain why this tomato plant produces far less tomatoes and is much smaller than a healthy tomato plant.

The decrease in chlorophyll in the diseased plant leaves means the light energy cannot be used to make glucose via photosynthesis in the chloroplasts. Tomatoes store a lot of glucose therefore with less g...

Answered by Phoebe S. Biology tutor
2427 Views

A car travelling at 14 m/s has to make an emergency stop so applies the brakes and it takes 1.5s to become stationary. What distance has the van travelled in that time?

Assuming constant deceleration we can use the equation s = t(u+v)/2, where u=14m/s, v=0m/s and t=4s. Inputting these values we have that the distance travelled s = 1.5(14)/2 = 21/2 = 10.5m
u = the st...

Answered by Caitlin J. Physics tutor
1943 Views

Two fair six sided dice, called A and B, are rolled and the results are added together. The sum of the dice is 8, what is the probability that two fours were rolled?

We know that A+B = 8 so we should first count the number of ways that the two dice could total 8. (A = 2, B = 6), (A=3, B=5), (A=4, B=4), (A=5, B=3) , (A=6, B= 2) -- this gives 5 possible waysWe also know...

Answered by Jak M. Maths tutor
2975 Views

Find the gradient of the straight line with equation 4x+3y=12

To answer the question the equation given must be rearranged into the straight line formula, y=mx+c, where m is the gradient of the slopeminus 4x from both sides, we now have 3y=12-4xthen divide through...

Answered by Constance N. Maths tutor
8127 Views

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