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Rasek [7]
3 years ago
13

Jill, Mateo, and Rasheed each have some stickers.

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer:

430+110-90

Step-by-step explanation:

the second option

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Find the smallest zero of f(x+5)
podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

f(x) =  {x}^{2}   + 3x  - 10

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

f(x) =  {(x + 5)}^{2}   + 3(x + 5) - 10

Expand:

f(x) =   {x}^{2}    + 10x + 25+ 3x + 15- 10

Simplify to obtain

f(x) =   {x}^{2}    + 13x + 30

We now compare with,

f(x) =   {x}^{2}    + kx + 30

This implies that:

k = 13

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

{x}^{2}    + 13x + 30 = 0

{x}^{2}   + 10x + 3x + 30 = 0

x(x + 10) + 3(x + 10) = 0

(x + 3)(x + 10) = 0

x =  - 10 \: or \: x =  - 3

The smallest zero is -10.

7 0
3 years ago
Read 2 more answers
What’s the value of x for a-d?
patriot [66]

Answer:

a = 76 b = 22 c = 58 d = 68

Step-by-step explanation:

A. 180 - 133 = 47

so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76

B. 68 + 90 = 158

You subtract the 158 from 180 and get 22

C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense

D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.

Sorry, not the best at explanations. Hope that helped

8 0
2 years ago
A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t
AlladinOne [14]

Answer:

The length of fencing will be 300\ ft

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

A=bh

In this problem we have

A=5,000\ ft^{2}

so

5,000=bh -----> equation A

b=\frac{h}{2} -----> equation B

Substitute equation B in equation A

5,000=(\frac{h}{2})h

10,000=h^{2}

square root both sides

h=100\ ft

Find the value of b

b=\frac{h}{2} -----> b=\frac{100}{2}=50\ ft

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

P=2(b+h)

we have

h=100\ ft

b=50\ ft

substitute

P=2(50+100)=300\ ft

6 0
3 years ago
Simplity.<br> 2+{8-2 [32+5(1+2)]}<br> Enter your answer in the box.
V125BC [204]

Answer:

284

Step-by-step explanation:

You have to start out multiplying the (parentheses), then the [brackets], then the {curly brackets}. After you're done with those you would add 2.

5 0
2 years ago
Thethree sides of a triangle measure 810 and 12 units is this a right angle?
Alja [10]

Answer:

The given triangle is NOT A RIGHT ANGLED TRIANGLE.

Step-by-step explanation:

Here, the three given sides of the triangle are:

8 units, 10 units and 12 units

Now, for any triangle to be a right angle:

by the PYTHAGORAS THEOREM:

(Base)^2 + (Perpendicular)^2  = (Hypotenuse)^2

The longest of all sides id the hypotenuse.

⇒ H  = 12 units

Let us assume, B = 8 units, P = 10 units

Now, here checking the condition:

(8)^2  + (10)^2  = 64  + 100  = 164  \neq (12)^2  = 144\\\implies (B)^2  + (P)^2  \neq (H)^2

Hence, the given triangle is NOT A RIGHT ANGLED TRIANGLE.

4 0
3 years ago
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