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BARSIC [14]
3 years ago
12

I need the answer pls

Mathematics
1 answer:
Pie3 years ago
6 0

Answer:

2

Step-by-step explanation:

Subtract-4 from 6

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On an algebra test , the highest grade was 50 points higher than the lowest the sum of the two grades was 122 find the lowest gr
KATRIN_1 [288]

Answer:

Highest grade: 86

Lowest grade: 36

Step-by-step explanation:

Let the highest grade be h, lowest grade be l.

h = 50 + l  \\  \\ h + l = 122 \\ h = 122 - l \\  \\

Therefore,

122 - l \:  = 50 + l \\ 2l \:  = 72 \\ l = 36 \\  \\ h = 36 + 50 = 86

6 0
3 years ago
g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o
natali 33 [55]

Answer:

The tangent line to the given curve at the given point is y=9x-26.

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of y=2x^2-7x+6 and then evaluate it for x=4.

(y=2x^2-7x+6)'          Differentiate the equation.

(y)'=(2x^2-7x+6)'       Differentiate both sides.

y'=(2x^2)'-(7x)'+(6)'    Sum/Difference rule applied: (f(x)\pmg(x))'=f'(x)\pm g'(x)

y'=2(x^2)'-7(x)'+(6)'  Constant multiple rule applied: (cf)'=c(f)'

y'2(2x)-7(1)+(6)'        Applied power rule: (x^n)'=nx^{n-1}

y'=4x-7+0               Simplifying and apply constant rule: (c)'=0

y'=4x-7                    Simplify.

Evaluate y' for x=4:

y'=4(4)-7

y'=16-7

y'=9 is the slope of the tangent line.

Point slope form of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on the line.

Insert 9 for m and (4,10) for (x_1,y_1):

y-10=9(x-4)

The intended form is y=mx+b which means we are going need to distribute and solve for y.

Distribute:

y-10=9x-36

Add 10 on both sides:

y=9x-26

The tangent line to the given curve at the given point is y=9x-26.

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function f(x)=2x^2-7x+6 at x=4 (the slope of the tangent line at x=4):

\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}

\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}  We are given f(4)=10.

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

2x^2-7x-4=(x-4)(2x+1)

Let's check this with FOIL:

First: x(2x)=2x^2

Outer: x(1)=x

Inner: (-4)(2x)=-8x

Last: -4(1)=-4

---------------------------------Add!

2x^2-7x-4

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}

\lim_{x \rightarrow 4}(2x+1)

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0
3 years ago
I really need help quick!!:) please!! I will give brainliest to first right answer!!!
kykrilka [37]

Answer:

SA = <em>41.</em>

Step-by-step explanation:

Add up everything and you get <em>41 </em>as the SA.

8 0
2 years ago
A genetic experiment with peas resulted in one sample of offspring that consisted of 414 green peas and 154 yellow peas. a. Cons
alekssr [168]

Answer: a. The interval in percentage is (23.46% , 30.76%)

b. No

Step-by-step explanation: To determine the confidence interval of a proportion, first find the percentage of yellow in that population:

phat = \frac{154}{414+154}

phat = 0.2711

The level α is 95%

1 - α = 0.05

α/2 = 0.025

As the population is bigger than 30, use z-test.

According to the table, z-score for α/2 = 0.025 is z = 1.96

The error for the interval is:

E = z.\sqrt{\frac{phat(1-phat)}{n} }

E = 1.96.\sqrt{\frac{0.2711(1-0.2711)}{568} }

E = 1.96*0.01865

E = 0.0365

The lower and higher limits of the interval are:

phat - E = 0.2711 - 0.0365 = 23.46%

phat + E = 0.2711 + 0.0365 = 30.76%

In conclusion, the 95% confidence interval to estimate the percentage of yellow is (23.46%,30.76%)

b. No, because 25% is inside the interval meaning that it doesn't contradict the expectations.

5 0
3 years ago
Write a fraction to equivalent. 20/150 with the denominator 75​
Stella [2.4K]
The answer I got was 15/75
5 0
3 years ago
Read 2 more answers
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