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timama [110]
3 years ago
14

Which statement correctly describes the graph of y = x + 7?

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

y=x+7

This is the equation of a line in slope intercept form

y=mx+b

m=1\\b=7

therefore

The slope is positive

The y-intercept is the point (0,7)--->  (value of x when the value of y is equal to zero)

The x-intercept is the point (-7,0) --->  (value of y when the value of x is equal to zero)

To graph the line plot the intercepts and join the points

see the attached figure

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Write a quadratic equation given the x intercepts and other other point. Put steps together. Find the factors. Solve for a by su
Ray Of Light [21]

Answer:

This question is clearly incomplete, so i will answer it in a really general way.

Suppose that for a quadratic function, we know that the x-intercepts are a and b.

And we also know that this function passes through the point (c, d).

First a definition, for a n-degree polynomial with the x-intercepts {x₁, x₂, ...,xₙ}  and a leading coefficient K, we can write this polynomial in the factorized form as:

p(x) = K*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now let's do the same for our quadratic function, we can write it as:

f(x) = K*(x - a)*(x - b)

(where a and b are known numbers)

Now we also know that this function passes through the point (c, d)

This means that:

f(c) = d

then:

d = K*(c - a)*(c - b)

With this equation we can find the value of K,

K = d/( (c-a)*(c - b))

Then the quadratic function is:

f(x) = d\frac{(x-a)}{(c-a)} \frac{(x-b)}{(c-b)}

Where again, it is supposed that you know the values of a and b, and also the point (c, d)

3 0
3 years ago
Solve for x.<br><br> Help please
MAVERICK [17]
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
4 0
3 years ago
Solve the proportion for t 15:75=30:t
Dominik [7]
The answer is 150.
15(2)=30 so
75(2) is 150
5 0
3 years ago
Which behavior can help increase savings?
grin007 [14]

Answer:

D. using coupons on regular purchases.

8 0
3 years ago
Read 2 more answers
The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti
mojhsa [17]

Answer: A) y=13e^{-0.1359t}

              B) H = 5.10

              C) Yes

Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: y(t)=Ce^{rt}

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

y(t)=Ce^{rt}

2.22=13e^{13r}

e^{13r}=0.1708

Using a natural logarithm property called <em>power rule:</em>

13r=ln(0.1708)

r=\frac{ln(0.1708)}{13}

r=-0.1359

The decay function for concentration of DDT through the years is y(t)=13e^{-0.1359t}

B) The value of H is calculated by y=C(0.5)^{\frac{t}{H} }

2.22=13(0.5)^{\frac{13}{H} }

(0.5)^{\frac{13}{H} }=0.1708

Again, using power rule for logarithm:

\frac{13}{H} log(0.5)=log(0.1708)

\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}

\frac{13}{H} =2.55

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model y(t)=13e^{-0.1359t} to determine concentration of DDT in 1995:

y(24)=13e^{-0.1359.24}

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

8 0
3 years ago
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