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3 years ago

Which of the following is the graph of f(x) = x2 + 3x − 4?

Mathematics

2 answers:

xenn [34]3 years ago

6 0

Answer:

2nd graph

Step-by-step explanation:

Given

f(x) = x² + 3x - 4

To find the zeros let f(x) = 0 , that is

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

The only graph with zeros at x = - 4 and x = 1 is the 2nd graph

Alisiya [41]3 years ago

4 0

Second graph is a required answer 

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Draw at least six different sized rectangles that have an area of 64 square units

olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

$x*y=64$ --------> equation 1

let's assume different values of x to get the different values of y

case 1) For x=64 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/64$

$y=1\ units$

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

3 0

3 years ago

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an e

neonofarm [45]

Answer:

250=70x+50

Step-by-step explanation:

4 0

2 years ago

PLEASE HELP!!! Find MG. ∆EGF~∆EML.

stiv31 [10]

Answer:

$MG=56\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

∆EGF~∆EML

$\frac{EG}{EM}=\frac{EF}{EL}$

substitute the given values

$\frac{5x+2}{16}=\frac{126}{28}$

solve for x

$5x+2=\frac{126}{28}(16)$

$5x+2=72\\5x=70\\x=14$

$EG=5x+2=5(14)+2=72\ units$

step 2

Find MG

we know that

$MG=EG-EM$

substitute

$MG=72-16=56\ units$

3 0

3 years ago

HELP FAST ALL OF MY POINTS TO BE GIVEN TO YOU

gogolik [260]

Answer:

C > 9

Step-by-step explanation:

3 0

3 years ago

Mrs. Alberts built a pen for her dogs. The pen was 12.5 feet by 7 feet and had a concrete floor. If the concrete floor costs $12

dybincka [34]

Answer: Mrs. Alberts spent $1,050 on the floor.

Step-by-step explanation: First lets find the area to get the total amount of square feet by multiply length by width.

12.5 x 7 = 87.5 square ft.

We know that it costs $12 per square foot, and we have 87.5 square feet.

So, multiply 12 by 87.5 to find the cost that Mrs, Alberts will spend on the floor.

12 x 87.5 = 1050, or $1,050 for the total area of the floor.

8 0

3 years ago