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statuscvo [17]
3 years ago
11

Help !!!See question in image.Please show workings .​​

Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative \frac{dy}{dx}

Differentiate using the power rule on each term

\frac{d}{dx} (ax^{n} ) = nax^{n-1} and \frac{d}{dx} ( constant ) = 0

y = 2x² + 5x - 3

\frac{dy}{dx} = 2.2x^{2-1} + 5x^{1-1} - 0

    = 4x + 5

\frac{dy}{dx} ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent

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Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12
vazorg [7]

Answer:

\frac{1}{3}  +  \frac{1}{4}

Step-by-step explanation:

We want to find an expression that has a value of

\frac{7}{12}

First option:

\frac{7}{8}  + 4 =  \frac{7}{8}  +  \frac{32}{8}  =  \frac{39}{8}  \ne \frac{7}{12}

Second option:

\frac{1}{3}  +  \frac{1}{4}  =  \frac{4}{12}  +  \frac{3}{12}  =  \frac{7}{12}

Correct option

Third option

\frac{6}{8}  +  \frac{1}{4}  =  \frac{3}{4}  +  \frac{1}{4}  = 1

Fourth option:

2 \frac{1}{12}  + 5 \frac{1}{12}  =  \frac{43}{6}

5 0
3 years ago
Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o
Fittoniya [83]
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.
8 0
3 years ago
The coefficient of x is
elena-s [515]

Answer:

coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

3 0
3 years ago
Three coins are tossed.<br> What is the probability that<br> all three will land tails up?
Angelina_Jolie [31]

Answer: 1/4

Step-by-step explanation:

5 0
3 years ago
Nine less than the product of 2 and number is equal to 7​
user100 [1]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write an equation

2x - 9 = 7

Step 2: Use the Addition Property of Equality

2x = 16

Step 3: Use the Division Property of Equality

x = 8

5 0
3 years ago
Read 2 more answers
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