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3 years ago

14

As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Stev

e collected is provided below.
10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7,10, 9
In his report, Steve should use the _____ as a measure of center since his data is ______ .

2 answers:

liubo4ka [24]3 years ago

7 0

Answer:

Step-by-step explanation:

DiKsa [7]3 years ago

5 0

Sorry I don’t get it I was trying

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11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola

lbvjy [14]

11. The given parabola has equation: $f(x)=-3x^2-18x-35$

We complete the square to have the function in the vertex form: $f(x)=-3(x^2+6x)-35$

$f(x)=-3(x^2+6x+9)+3*9-35$

$f(x)=-3(x^2+6x+9)+27-35$

$f(x)=-3(x+3)^2-8$

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12. We know the graph of $y=x^2$ is a parabola that opens up and has its minimum point at the origin.

The range of this function is $y\ge 0$

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect $y=x^2$ and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

14. We want to find the zeros of $x^2+21x=5x-63$

$x^2+21x-5x+63=0$

$x^2+16x+63=0$

The factored form is $(x+7)(x+9)=0$

$x=-7\:or\: x=-9$

Ans: C. x = −7, −9

15. The given quadratic expression is $6x^2-17x+10$

We split the middle term to obtain:

$6x^2-12x-5x+10=0$

We factor by grouping to get:

$6x(x-2)-5(x-2)=0$

$(x-2)(6x-5)=0$

Ans: D. 6x − 5

8 0

3 years ago

Read 2 more answers

I really need help on rate changes!!

mrs_skeptik [129]

Answer: The third and fourth problem are linear

Step-by-step explanation:

3rd problem follows a pattern

X 6 5 4 3

Y 21 15 10 6

6x3+3=21

5x3=15

4x2+2=10

3x2=6

Problem 4 follows a pattern as well

X value goes up 1, Y value goes up 4

4 0

3 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

while observing the fare meter in a taxi, a student records the following data: reading on taxi fare meter time (minutes) meter

mario62 [17]

(0,5.25)(10,13.75)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (13.75 - 5.25) / (10 - 0) = 8.5/10 = 0.85

y = mx + b
(0,5.25)...x = 0 and y = 5.25
slope(m) = 0.85
now we sub, we r looking for b, the y int
5.25 = 0.85(0) + b
5.25 = b

so ur equation is : y = 0.85x + 5.25 or C(t) = 0.85t + 5.25 <==

cost of a 12 min taxi ride.....sub in 12 for t
C(t) = 0.85t + 5.25
C(12) = 0.85(12) +5.25
C(12) = 10.20 + 5.25 = 15.45
so a 12 min ride would cost u : $ 15.45 <==

5 0

3 years ago

Please help!! ASAP

Kryger [21]

Answer:

The answer is 117.3 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is V = $\frac{1}{3} \pi r^{2} h$ .

Next, plug in the information given from the problem, and the formula will look like V = $\frac{1}{3} (\pi) (4 in^{2}) (7 in)$ .

Then, solve the equation, and the answer will be 117.3 $in^{3}$ .

6 0

3 years ago