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murzikaleks [220]
2 years ago
9

Use the information to answer the following question.

Mathematics
1 answer:
svlad2 [7]2 years ago
8 0
Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.

(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17
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HIIIIIII ILL MARK BRAINLIEST<br> is this correct?
geniusboy [140]

Answer:

YES

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(08.07 HC)
andreev551 [17]

Answer:

\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}

\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)

C)  See attachment.

Step-by-step explanation:

Given function:

f(x)=2x^2-x-10

<h3><u>Part A</u></h3>

To factor a <u>quadratic</u> in the form  ax^2+bx+c<em> , </em>find two numbers that multiply to ac and sum to b :

\implies ac=2 \cdot -10=-20

\implies b=-1

Therefore, the two numbers are -5 and 4.

Rewrite b as the sum of these two numbers:

\implies f(x)=2x^2-5x+4x-10

Factor the first two terms and the last two terms separately:

\implies f(x)=x(2x-5)+2(2x-5)

Factor out the common term  (2x - 5):

\implies f(x)=(x+2)(2x-5)

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

\implies (x+2)(2x-5)=0

Therefore:

\implies (x+2)=0 \implies x=-2

\implies (2x-5)=0 \implies x=\dfrac{5}{2}

So the x-intercepts are:

x=-2, \:\:x=\dfrac{5}{2}

<h3><u>Part B</u></h3>

The x-value of the vertex is:

\implies x=\dfrac{-b}{2a}

Therefore, the x-value of the vertex of the given function is:

\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}

To find the y-value of the vertex, substitute the found value of x into the function:

\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}

Therefore, the vertex of the function is:

\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)

<h3><u>Part C</u></h3>

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards.  This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>.  Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

5 0
2 years ago
PLEASEEEE HELPPP MEEEE! NOWWWWW
umka2103 [35]

Answer:

The answer is -3

Step-by-step explanation:

First of all we find the difference -4-2 = -(4+2) and than we add the numbers answer is -6 .

-    \frac{6}{4 \div 2}

4÷2=

-   \frac{6}{2}

And than we simplify this fraction to 2 and find the answer -3. <em>I</em><em> </em><em>w</em><em>o</em><em>u</em><em>l</em><em>d</em><em> </em><em>b</em><em>e</em><em> </em><em>g</em><em>l</em><em>a</em><em>d</em><em> </em><em>i</em><em>f</em><em> </em><em>y</em><em>o</em><em>u</em><em> </em><em>c</em><em>h</em><em>o</em><em>o</em><em>s</em><em>e</em><em> </em><em>m</em><em>y</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>b</em><em>e</em><em>s</em><em>t</em><em>.</em><em> </em><em>G</em><em>o</em><em>o</em><em>d</em><em> </em><em>l</em><em>e</em><em>s</em><em>s</em><em>o</em><em>n</em><em>s</em><em> </em><em>♡</em>

7 0
2 years ago
a car starts from rest and travels for 5.0s with a uniform acceleration of 1.5 m/s^2. what is the final velocity of the car? how
AfilCa [17]
V = u + at
u = 0 
v = 0 + 1.5*5
v = 7.5 m/s
final velocity is 7.5 m/s

s = ut + 0.5at^2
s = 0 + (0.5*1.5*5^2)
s = (0.5*1.5*25)
s = 18.75 m
total travel distance is 18.75 m.
5 0
3 years ago
PLEASE HELP SOMEONE!!!
evablogger [386]

Answer:

y = -2x

Step-by-step explanation:

For direct variation:  y = kx, where k is the constant of proportionality.

Given that Y equals -12 when x equals 6, we have -12 = k(6).  Solve this for k by dividing both sides by 6:

k = -12/6 => k = -2

Then the "direct variation equation" here is y = -2x.

3 0
3 years ago
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