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3 years ago

Sixteen less than z gives six.

Mathematics

2 answers:

bezimeni [28]3 years ago

7 0

<em><u>Algebra</u></em>

z-16=6

z=22

what your problem in word form is saying is that sixteen less from z equals out to 6.

GrogVix [38]3 years ago

6 0

Answer:

z = 22

Step-by-step explanation:

z - 16 = 6

z = 22

Hope this helped!

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Kamila [148]

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3 years ago

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klemol [59]

Answer:

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Step-by-step explanation:

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3 years ago

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What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

ludmilkaskok [199]

Answer:

(4;0)

Step-by-step explanation:

y=0

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4 0

3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

love history [14]

Let x be the number of weeks; therefore, the two linear equations are

$\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}$

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

$\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}$

Thus, substitute the value of x=3 into the first equation,

$\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}$

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1 year ago

Solve the equation using the quadratic formula. Enter each solution in simplest form.

sergeinik [125]

For this case we have the following quadratic equation:

$x ^ 2-4x + 23 = 0$

The solutions will be given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Where:

$a = 1\\b = -4\\c = 23$

Substituting the values we have:

$x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (23)}} {2 (1)}\\x = \frac {4 \pm \sqrt {16-92}} {2}\\x = \frac {4 \pm \sqrt {-76}} {2}\\x = \frac {4 \pm \sqrt {76i ^ 2}} {2}\\x = \frac {4 \pmi \sqrt {76}} {2}\\x = \frac {4 \pmi \sqrt {2 ^ 2 * 19}} {2}\\x = \frac {4 \pm2i \sqrt {19}} {2}\\x = 2 \pm i\sqrt {19}$

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$x_ {1} = 2-i \sqrt {19}\\x_ {2} = 2 + i \sqrt {19}$

ANswer:

$x_ {1} = 2-i\sqrt {19}\\x_ {2} = 2 + i\sqrt {19}$

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3 years ago