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2 years ago

For the following exercises, find the x- and y-intercepts of the graphs of each function.

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

6 0

The x- and y-intercepts of the graphs of the function described are; (2,0) and (4,0) respectively.

<h3>What are the x- and y-intercepts of the graph of the function?</h3>

It follows from the task content that the function given is; f(x) = −2| x +1 | + 6.

Since the x- and y-intercepts corresponds to x and y values for which y and x are zero respectively, it follows that;

x -intercept is;

0 = -2(x+1) + 6

2x = -2 +6

2x = 4

x = 4/2 = 2

y-intercept is;

y = -2(0+1) +6

y = 4.

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TWVU is a trapezoid with midsgment FG find the value of x please help

photoshop1234 [79]

Answer:

Find each measure.

SOLUTION:

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

are the bases and is the

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:

1.2

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each measure.

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3 years ago

A bus is travelling with 52 passengers. When it arrives at a stop, y passengers get off and 4 get on. At the next stop one-third

MissTica

52-y+4
(2/3) (52-y+4)+3=25 ;; (1/3) get off, so (2/3) left
(2/3)(52-y+4) =22
52-y+4=33
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3 years ago

Una compañía suministra electricidad. Cobra $100 mensuales fijos más 15 centavos por kilowatt hora. En los primeros 400 kilowatt

sweet [91]

Answer:

La función resultante es una función a trozos:

$C_{T}(x) = \left\{\begin{array}{cc}100+0.15\cdot x,\,0\le x \le 400\\112+0.12\cdot x,\,x> 400\\\end{array}$

Step-by-step explanation:

El coste total de la electricidad suministrada ( $C_{T}$ ), medida en pesos, es la suma del coste fijo ( $C_{F}$ ) y el coste variable ( $C_{V}$ ), medidas en pesos.

$C_{T} = C_{F}+C_{V}$ (1)

Ahora, tenemos que el coste fijo es $ 100 mensuales, así:

$C_{F} = \$ \,100$ (2)

Y el coste variable considera que se cobra 15 centavos por kilowatt-hora para los primeros 400 kilowatts-hora y 12 centavos por kilowatt-hora para cada kilowatt-hora que pase de 400 kilowatts-hora en el mes:

(i) Menos o igual que 400 kilowatts-hora:

$C_{V} = 0.15\cdot x$ (3)