1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
4vir4ik [10]
3 years ago
13

I need help with this

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0
I cannot see your choices but I believe the inequality would look something like 
16x = 80 with x representing the number of hats he can buy and to solve you would just divide each side by 16 and it would give you the answer x = 5 meaning he can buy 5 hats
You might be interested in
A triangle has one side that measures 5 ft, one side that measures 6 ft, and one side that measures 9 ft.
pochemuha

Area= 14.142

Perimeter=20

Height=3.14

5 0
3 years ago
Read 2 more answers
The conservation club has 32 members. There are 18 girls in the club.
VARVARA [1.3K]
9:7 There are 18 girls to 14 boys. 18/14 divide top and bottom by 2 to simplify equals 9:7
6 0
3 years ago
How do I do this? Help please! 30 POINTS
evablogger [386]

a) 1/52

b) 13/52

c) 16/52

d) 28/52

4 0
3 years ago
Read 2 more answers
Find the equation of the quadratic function f whose graph is shown below.
Marianna [84]

Step-by-step explanation:

A quadratic function is a second-degree polynomial function with the general form

                                          f(x) \ = \ ax^{2} \ + \ bx \ + \ c,

where a, b, and c are real numbers, and a \ \neq \ 0.

The standard form or the vertex form of a quadratic function is, however, a little different from the general form. To get the standard form from the general form, we need to use the "complete the square" method.

                          f(x) \ = \ ax^{2} \ + \ bx \ + \ c \\ \\ \\ f(x) \ = \ a\left(x^{2} \ + \ \displaystyle\frac{b}{a}x \right) \ + \ c \\ \\ \\ f(x) \ = \ a\left[x^{2} \ + \ \displaystyle\frac{b}{a}x \ + \ \left(\displaystyle\frac{b}{2a}\right)^{2} \ - \ \left(\displaystyle\frac{b}{2a}\right)^{2} \right] \ + \ c \\ \\ \\ f(x) \ = \ a\left[x^{2} \ + \ \displaystyle\frac{b}{a}x \ + \ \left(\displaystyle\frac{b}{2a}\right)^{2}\right] \ - \ a\left(\displaystyle\frac{b}{2a}\right)^{2} \ + \ c

                          f(x) \ = \ a\left(x \ + \ \displaystyle\frac{b}{2a}\right)^{2} \ + \ c \ - \ a\left(\displaystyle\frac{b^{2}}{4a^{2}}\right) \\ \\ \\ f(x) \ = \ a\left(x \ + \ \displaystyle\frac{b}{2a}\right)^{2} \ + \ c \ - \ \displaystyle\frac{b^{2}}{4a}

Let

                                         h \ = \ -\displaystyle\frac{b}{2a}     and     k \ = \ c \ - \ \displaystyle\frac{b^{2}}{4a},

then the expression reduces into

                                              f(x) \ = \ a \left(x \ - \ h\right)^{2} \ + \ k,

where the point (<em>h</em>, <em>k</em>) are the coordinates for the vertex of the quadratic function.

There are two different methods to approach this question. First, we consider the general form of the quadratic function, it is observed that has a y-intercept at the point \left(0, \ 2\right), so

                                            f(0) \ = \ -2 \\ \\ \\ f(0) \ = \ a(0)^{2} \ + \ b(0) + c \\ \\ \\ c = \ -2.

Additionally, it is pointed that two distinct points (-1, \ -3) and (-4, \ 6) lies on the quadratic graph, hence

                                       f(-1) \ = \ -3 \\ \\ \\ f(-1) \ = \ a(-1)^{2} \ + \ b(-1) \ -2 \\ \\ \\ \-\hspace{0.36cm} -3 \ = \ a \ - \ b \ -2 \\ \\ \\ \-\hspace{0.3} a \ - \ b \ = \ -1 \ \ \ \ \ \ $-----$ \ (1)

and

                                     \-\hspace{0.18cm}f(-4) \ = \ 6 \\ \\ \\ \-\hspace{0.18cm} f(-4) \ = \ a(-4)^{2} \ + \ b(-4) \ -2 \\ \\ \\ \-\hspace{0.97cm} 6 \ = \ 16a \ - \ 4b \ -2 \\ \\ \\ \-\hspace{0.98cm} 8 \ = \ 16a \ - \ 4b \\ \\ \\ 4a \ - \ b \ = \ 2 \ \ \ \ \ \ $-----$ \ (2).

Subtract equation (1) from equation (2) term-by-term,

                          \-\hspace{0.72cm} (4a \ - \ b) \ - \ (a \ - \ b) \ = \ 2 \ - \ (-1) \\ \\ \\ (4a \ - \ a) \ + \ \left[-b \ - \ (-b)\right] \ = \ 2 \ + \ 1 \\ \\ \\ \-\hspace{3.8cm} 3a \ = \ 3 \\ \\ \\ \-\hspace{4cm} a \ = \ 1

Substitute a \ = \ 1 into equation (1),

                                                 1 \ - \ b \ = \ -1 \\ \\ \\ \-\hspace{0.86cm} b \ = \ 2.

Therefore, the equation of the quadratic function is

                                               f(x) \ = \ x^2 \ + \ 2x \ -2.

\rule{12.5cm}{0.02cm}

Alternatively, the vertex of the quadratic function is given as the point (-1, \ -3), substitute these coordinates into the vertex form of a quadratic function.

                                            f(x) = a\left(x \ + \ 1\right)^{2} \ - \ 3.

Substitute the point (-4, \ 6) into the function above,

                                     f(-4) \ = \ 6 \\ \\ \\ f(-4) \ = \ a\left[(-4) \ + \ 1\right]^{2} \ - \ 3 \\ \\ \\ \-\hspace{0.75cm} 6 \ = \ a(-3)^{2} \ - \ 3 \\ \\ \\ \-\hspace{0.55cm} 9a \ = \ 9 \\ \\ \\ \-\hspace{0.75cm} a \ = \ 1.

Therefore, the general form of the quadratic function is

                                       f(x) \ = \ (x \ + \ 1)^{2} \ - \ 3 \\ \\ \\ f(x) \ = \ (x^2 \ + \ 2x \ + \ 1) \ - \ 3 \\ \\ \\ f(x) \ = \ x^2 \ + \ 2x \ - \ 2.

6 0
3 years ago
A parallelogram has an area of 120 cm2. The base is 15 cm.<br><br> What is the height?
Pachacha [2.7K]

<em>The</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>height</em><em> </em><em>is</em><em> </em><em>8</em><em> </em><em>cm</em>

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 30,000-18,836-9,645= explained
    6·1 answer
  • How many minutes does the teach
    15·1 answer
  • Does someone know this ??
    11·2 answers
  • Let () = 2 - 7 and () = -6 - 3. Find () + () and state its domain.
    8·1 answer
  • First right answer FOR BOTH gets brain
    12·1 answer
  • Here are two rectangles the two rectangles are similar and the scale factor is
    15·1 answer
  • Show all of your work.
    13·1 answer
  • Decide wether or not if these are functions
    6·1 answer
  • Leona answered all the questions on a test. She had 90% of them correct. There were 40 questions in all. How many did she have c
    7·1 answer
  • Can someone help me with this? Its fairly easy but i genuinely dont remember
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!