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3 years ago

Determine the axis of symmetry for the function f(x) = −4(x + 7)2 − 3.

Mathematics

1 answer:

spayn [35]3 years ago

6 0

Answer:

x = -7

Step-by-step explanation:

The vertex form of this equation tells us it is a downward-opening parabola with its vertex at (-7, -3). The line of symmetry is the vertical line through the vertex: x = -7.

___

Vertex form is ...

y = a(x -h) +k

where a is the vertical expansion factor, and (h, k) is the vertex. When a < 0, the parabola opens downward. When a > 0, it opens upward. (When a=0, the "parabola" is a horizontal line at y=k.)

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We looking for distance

drek231 [11]

Answer:

240 m

Step-by-step explanation:

Figure is attached.

The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).

What's the area under the graph?

The red outline forms a trapezoid. The area of a trapezoid is $A=\frac{1}{2}h(b_1+b_2)$ where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).

Reading the graph carefully (notice the scales!)...

$A=\frac{1}{2}(4)(30+90)=(2)(120)=240 \text{m}$

8 0

2 years ago

2/35=x/140 solve the proportion

tamaranim1 [39]

$\frac{2}{35}=\frac{x}{140}$ Multiply 140 on both sides to get "x" by itself

$(140)\frac{2}{35}=\frac{x}{140} (140)$

$\frac{280}{35}=x$

8 = x

4 0

3 years ago

Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hy

alexandr1967 [171]

Answer:

The true true level of significance of this test is more than 0.01.

Step-by-step explanation:

No standard deviation and we are told that the investigator still used z rather than the more appropriate t - distribution.

This method of using the z-distribution when standard deviation is unknown will definitely result in a smaller critical value and this in turn simply means that the p-value will be smaller than what it should really be.

Thus, it means the critical value is getting closer to the mean value than the way it should be.

Therefore, means that for a given significance of 0.01 and using the z-distribution under this no standard deviation situation, the true true level of significance of this test is more than 0.01.

8 0

3 years ago

Can someone answer this i don't understand it

Lena [83]

Based on my understanding, it’d be 32 2/3 since you’d multiply based on what’s the chart, example being 4 times 8 and 4 times 1/6

5 0

3 years ago

Raju bought a book for Rs 37.65. He gave Rs 50 to the shop keeper . How much money did he get back from the shopkeeper?

vfiekz [6]

Answer:

50-37.65=12.35

Step-by-step explanation:

4 0

2 years ago