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3 years ago

Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

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4 years ago

Read 2 more answers

How do I solve these problems?

lesya [120]

$Domain:\\D:x > 0\\\\\ln x=5.6+\ln(7.5)\ \ \ \ |-\ln(7.5)\\\\\ln x-\ln7.5=5.6\ \ \ |Use\ \log x-\log y=\log\dfrac{x}{y}\\\\\ln\dfrac{x}{7.5}=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\\dfrac{x}{7.5}=e^{5.6}\ \ \ \ |\cdot7.5\\\\\boxed{x=7.5e^{5.6}}\in D$

$\log x=5.6-\log7.5\ \ \ \ |+\log7.5\\\\\log x+\log7.5=5.6\ \ \ \ |use\ \log x+\log y=\log (xy)\\\\\log(7.5x)=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\7.5x=10^{5.6}\ \ \ \ |:7.5\\\\\boxed{x=\dfrac{10^{5.6}}{7.5}}\in D$

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3 years ago

58 is the difference of Janelle's height and 24.

abruzzese [7]

Answer:

Janelle's height is 82 units.

Step-by-step explanation:

Let j represent Janelle's height.

It is mentioned that, 58 is the difference between Janelle's height and 24.

Mathematically, we can write it as :

j-24 = 58

We can solve it as follows :

Adding 24 both sides,

j-24+24 = 58+24

j = 82

Hence, Janelle's height is 82 units.

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3 years ago