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ozzi
2 years ago
14

Graph the inequality on the number line.

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
5 0

Answer:

The inequality is shown in figure attached.

Since z < 11 , so there will be an open circle on 11 and number line will be shaded (arrow) on left side of 11.

Step-by-step explanation:

We need to graph the inequality z< 11

The inequality is shown in figure attached.

Since z < 11 , so there will be an open circle on 11 and number line will be shaded (arrow) on left side of 11.

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3) 0.07 x 16<br> Help now
lana [24]

Answer:

1.12

Step-by-step explanation:

all you have to do is multiply them, hope i helped

3 0
2 years ago
Read 2 more answers
Solve the system by substitution:<br> y = -3x + 10<br> y=-3x + 4<br> Please show the steps!
sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0
3 years ago
Find the equation of the parabola that passes through
valentinak56 [21]

so we have the points of (0,-7),(7,-14),(-3,-19), let's plug those in the y = ax² + bx + c form, since we have three points, we'll plug each one once, thus a system of three variables, and then we'll solve it by substitution.

\bf \begin{array}{cccllll} \stackrel{\textit{point (0,-7)}}{-7=a(0)^2+b(0)+c}& \stackrel{point (7,-14)}{-14=a(7)^2+b(7)+c}& \stackrel{point (-3,-19)}{-19=a(-3)^2+b(-3)+c}\\\\ -7=c&-14=49a+7b+c&-19=9a-3b+c \end{array}

well, from the 1st  equation, we know what "c" is already, so let's just plug that in the 2nd equation and solve for "b".

\bf -14=49a+7b-7\implies -7=49a+7b\implies -7-49a=7b \\\\\\ \cfrac{-7-49a}{7}=b\implies \cfrac{-7}{7}-\cfrac{49a}{7}=b\implies -1-7a=b

well, now let's plug that "b" into our 3rd equation and solve for "a".

\bf -19=9a-3b-7\implies -12=9a-3b\implies -12=9a-3(-1-7a) \\\\\\ -12=9a+3+21a\implies -15=9a+21a\implies -15=30a \\\\\\ -\cfrac{15}{30}=a\implies \blacktriangleright -\cfrac{1}{2}=a \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{and since we know that}}{-1-7a=b}\implies -1-7\left( -\cfrac{1}{2} \right)=b\implies -1+\cfrac{7}{2}=b\implies \blacktriangleright \cfrac{5}{2}=b \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{2}x^2+\cfrac{5}{2}x-7~\hfill

3 0
3 years ago
Is f(x) = 2x – 3 a function
vesna_86 [32]

Answer: yes

Step-by-step explanation:

If you graph the function on desmos or a graphing calculator, you will see that it passes the vertical line test.

The graph is a function when no one x value has two y values, this is why we use the vertical line text to see if the graph is a function.

3 0
3 years ago
IM BEGGING YOU PLEASE HELP PLEASE HELP I NEED HELP PLEASE
I am Lyosha [343]

Answer:

area of shaded region: 21.07 ft²

<u>Given for semi circle:</u>

  • radius of semi-circle: 7 ft

<u>Given for rectangle:</u>

  • width: 7 ft
  • length: 14 ft

<u>Find area of rectangle:</u>

Length * Width

14 * 7

98 ft²

<u>Find the area of semi circle:</u>

1/2 * π * r²

1/2 * 3.14 * (7)²

76.93 ft²

<u>Area of shaded region:</u>

area of rectangle - area of semi-circle

98 ft² - 76.93 ft²

21.07 ft²

8 0
2 years ago
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